diff --git a/2024-07-15_caustique-Granet.ipynb b/2024-07-15_caustique-Granet.ipynb
index 3aa4276..07f153a 100644
--- a/2024-07-15_caustique-Granet.ipynb
+++ b/2024-07-15_caustique-Granet.ipynb
@@ -62,7 +62,7 @@
     "    cache: bool = False # Cache intermediate output.\n",
     "    verbose: bool = True # Displays more verbose output.\n",
     "    do_display: bool = True # Displays images in notebook.\n",
-    "    do_recompute: bool = True # Restart each computation    "
+    "    do_recompute: bool = False # Restart each computation    "
    ]
   },
   {
diff --git a/2024-07-15_caustique-Granet.py b/2024-07-15_caustique-Granet.py
index c10c230..73dcd4d 100644
--- a/2024-07-15_caustique-Granet.py
+++ b/2024-07-15_caustique-Granet.py
@@ -40,7 +40,7 @@ class init:
     cache: bool = True # Cache intermediate output.
     verbose: bool = True # Displays more verbose output.
     do_display: bool = False # Displays images in notebook.
-    do_recompute: bool = True # Restart each computation    
+    do_recompute: bool = False # Restart each computation    
 
 
 from lambda2color import Lambda2color, xyz_from_xy
diff --git a/2024-07-22_caustique-Granet.py b/2024-07-22_caustique-Granet.py
index 7eab4bb..98ed77f 100644
--- a/2024-07-22_caustique-Granet.py
+++ b/2024-07-22_caustique-Granet.py
@@ -40,7 +40,7 @@ class init:
     cache: bool = True # Cache intermediate output.
     verbose: bool = True # Displays more verbose output.
     do_display: bool = False # Displays images in notebook.
-    do_recompute: bool = True # Restart each computation    
+    do_recompute: bool = False # Restart each computation    
 
 
 from lambda2color import Lambda2color, xyz_from_xy
diff --git a/2024-07-24_caustique.ipynb b/2024-07-24_caustique.ipynb
index 1a1165e..9c0006f 100644
--- a/2024-07-24_caustique.ipynb
+++ b/2024-07-24_caustique.ipynb
@@ -64,7 +64,7 @@
     "    cache: bool = True # Cache intermediate output.\n",
     "    verbose: bool = False # Displays more verbose output.\n",
     "    do_display: bool = False # Displays images in notebook.\n",
-    "    do_recompute: bool = True # Restart each computation    "
+    "    do_recompute: bool = False # Restart each computation    "
    ]
   },
   {
diff --git a/2024-07-25_caustique.ipynb b/2024-07-25_caustique.ipynb
index ad971f2..cb94a64 100644
--- a/2024-07-25_caustique.ipynb
+++ b/2024-07-25_caustique.ipynb
@@ -64,7 +64,7 @@
     "    cache: bool = True # Cache intermediate output.\n",
     "    verbose: bool = False # Displays more verbose output.\n",
     "    do_display: bool = False # Displays images in notebook.\n",
-    "    do_recompute: bool = True # Restart each computation    "
+    "    do_recompute: bool = False # Restart each computation    "
    ]
   },
   {
diff --git a/2024-07-26_caustique-bands.ipynb b/2024-07-26_caustique-bands.ipynb
index 104e0a7..feea1f8 100644
--- a/2024-07-26_caustique-bands.ipynb
+++ b/2024-07-26_caustique-bands.ipynb
@@ -64,7 +64,7 @@
     "    cache: bool = True # Cache intermediate output.\n",
     "    verbose: bool = False # Displays more verbose output.\n",
     "    do_display: bool = False # Displays images in notebook.\n",
-    "    do_recompute: bool = True # Restart each computation    "
+    "    do_recompute: bool = False # Restart each computation    "
    ]
   },
   {
diff --git a/2024-08-07_caustique-bands.ipynb b/2024-08-07_caustique-bands.ipynb
index 6579648..ab6cdb1 100644
--- a/2024-08-07_caustique-bands.ipynb
+++ b/2024-08-07_caustique-bands.ipynb
@@ -68,7 +68,7 @@
     "    cache: bool = True # Cache intermediate output.\n",
     "    verbose: bool = False # Displays more verbose output.\n",
     "    do_display: bool = False # Displays images in notebook.\n",
-    "    do_recompute: bool = True # Restart each computation    "
+    "    do_recompute: bool = False # Restart each computation    "
    ]
   },
   {
diff --git a/2024-08-29_caustique-bands.ipynb b/2024-08-29_caustique-bands.ipynb
index d0d4a91..adf4a84 100644
--- a/2024-08-29_caustique-bands.ipynb
+++ b/2024-08-29_caustique-bands.ipynb
@@ -10,7 +10,14 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "metadata": {},
+   "metadata": {
+    "execution": {
+     "iopub.execute_input": "2024-10-16T09:43:02.983382Z",
+     "iopub.status.busy": "2024-10-16T09:43:02.983225Z",
+     "iopub.status.idle": "2024-10-16T09:43:02.985631Z",
+     "shell.execute_reply": "2024-10-16T09:43:02.985393Z"
+    }
+   },
    "outputs": [],
    "source": [
     "# %pip install -U -r requirements.txt"
@@ -19,12 +26,19 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "metadata": {},
+   "metadata": {
+    "execution": {
+     "iopub.execute_input": "2024-10-16T09:43:02.986887Z",
+     "iopub.status.busy": "2024-10-16T09:43:02.986793Z",
+     "iopub.status.idle": "2024-10-16T09:43:03.924840Z",
+     "shell.execute_reply": "2024-10-16T09:43:03.924596Z"
+    }
+   },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "'3.9.1'"
+       "'3.9.2'"
       ]
      },
      "execution_count": 2,
@@ -40,7 +54,14 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "metadata": {},
+   "metadata": {
+    "execution": {
+     "iopub.execute_input": "2024-10-16T09:43:03.943857Z",
+     "iopub.status.busy": "2024-10-16T09:43:03.943723Z",
+     "iopub.status.idle": "2024-10-16T09:43:03.953393Z",
+     "shell.execute_reply": "2024-10-16T09:43:03.953160Z"
+    }
+   },
    "outputs": [],
    "source": [
     "import matplotlib.gridspec as gs\n"
@@ -49,7 +70,14 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "metadata": {},
+   "metadata": {
+    "execution": {
+     "iopub.execute_input": "2024-10-16T09:43:03.954763Z",
+     "iopub.status.busy": "2024-10-16T09:43:03.954671Z",
+     "iopub.status.idle": "2024-10-16T09:43:03.956110Z",
+     "shell.execute_reply": "2024-10-16T09:43:03.955888Z"
+    }
+   },
    "outputs": [],
    "source": [
     "import numpy as np\n"
@@ -58,7 +86,14 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "metadata": {},
+   "metadata": {
+    "execution": {
+     "iopub.execute_input": "2024-10-16T09:43:03.957326Z",
+     "iopub.status.busy": "2024-10-16T09:43:03.957241Z",
+     "iopub.status.idle": "2024-10-16T09:43:06.032090Z",
+     "shell.execute_reply": "2024-10-16T09:43:06.029762Z"
+    }
+   },
    "outputs": [],
    "source": [
     "import os\n",
@@ -115,10 +150,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2022-09-16T06:50:17.688713Z",
-     "iopub.status.busy": "2022-09-16T06:50:17.688504Z",
-     "iopub.status.idle": "2022-09-16T06:50:17.691583Z",
-     "shell.execute_reply": "2022-09-16T06:50:17.691125Z"
+     "iopub.execute_input": "2024-10-16T09:43:06.036410Z",
+     "iopub.status.busy": "2024-10-16T09:43:06.035954Z",
+     "iopub.status.idle": "2024-10-16T09:43:06.041319Z",
+     "shell.execute_reply": "2024-10-16T09:43:06.039924Z"
     }
    },
    "outputs": [
@@ -138,7 +173,14 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "metadata": {},
+   "metadata": {
+    "execution": {
+     "iopub.execute_input": "2024-10-16T09:43:06.045705Z",
+     "iopub.status.busy": "2024-10-16T09:43:06.045222Z",
+     "iopub.status.idle": "2024-10-16T09:43:06.051391Z",
+     "shell.execute_reply": "2024-10-16T09:43:06.050527Z"
+    }
+   },
    "outputs": [],
    "source": [
     "# if opt.nframe==1: opt.ext = 'png'"
@@ -149,10 +191,10 @@
    "execution_count": 8,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2022-09-16T06:50:17.728359Z",
-     "iopub.status.busy": "2022-09-16T06:50:17.728155Z",
-     "iopub.status.idle": "2022-09-16T06:50:17.734829Z",
-     "shell.execute_reply": "2022-09-16T06:50:17.734354Z"
+     "iopub.execute_input": "2024-10-16T09:43:06.055776Z",
+     "iopub.status.busy": "2024-10-16T09:43:06.055017Z",
+     "iopub.status.idle": "2024-10-16T09:43:06.060659Z",
+     "shell.execute_reply": "2024-10-16T09:43:06.059448Z"
     },
     "tags": []
    },
@@ -200,7 +242,14 @@
   {
    "cell_type": "code",
    "execution_count": 9,
-   "metadata": {},
+   "metadata": {
+    "execution": {
+     "iopub.execute_input": "2024-10-16T09:43:06.064918Z",
+     "iopub.status.busy": "2024-10-16T09:43:06.064509Z",
+     "iopub.status.idle": "2024-10-16T09:43:06.069370Z",
+     "shell.execute_reply": "2024-10-16T09:43:06.068172Z"
+    }
+   },
    "outputs": [
     {
      "name": "stdout",
@@ -232,10 +281,10 @@
    "execution_count": 10,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2022-09-16T06:50:17.737334Z",
-     "iopub.status.busy": "2022-09-16T06:50:17.737126Z",
-     "iopub.status.idle": "2022-09-16T06:50:17.741165Z",
-     "shell.execute_reply": "2022-09-16T06:50:17.740716Z"
+     "iopub.execute_input": "2024-10-16T09:43:06.073052Z",
+     "iopub.status.busy": "2024-10-16T09:43:06.072374Z",
+     "iopub.status.idle": "2024-10-16T09:43:06.078119Z",
+     "shell.execute_reply": "2024-10-16T09:43:06.077358Z"
     }
    },
    "outputs": [],
@@ -274,10 +323,10 @@
    "execution_count": 11,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2022-09-16T06:50:17.743669Z",
-     "iopub.status.busy": "2022-09-16T06:50:17.743461Z",
-     "iopub.status.idle": "2022-09-16T06:50:17.757701Z",
-     "shell.execute_reply": "2022-09-16T06:50:17.757282Z"
+     "iopub.execute_input": "2024-10-16T09:43:06.082021Z",
+     "iopub.status.busy": "2024-10-16T09:43:06.081270Z",
+     "iopub.status.idle": "2024-10-16T09:43:06.089061Z",
+     "shell.execute_reply": "2024-10-16T09:43:06.088191Z"
     }
    },
    "outputs": [],
@@ -323,10 +372,10 @@
    "execution_count": 12,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2022-09-16T06:50:17.012647Z",
-     "iopub.status.busy": "2022-09-16T06:50:17.012413Z",
-     "iopub.status.idle": "2022-09-16T06:50:17.665184Z",
-     "shell.execute_reply": "2022-09-16T06:50:17.664652Z"
+     "iopub.execute_input": "2024-10-16T09:43:06.094058Z",
+     "iopub.status.busy": "2024-10-16T09:43:06.093441Z",
+     "iopub.status.idle": "2024-10-16T09:43:06.297325Z",
+     "shell.execute_reply": "2024-10-16T09:43:06.297072Z"
     }
    },
    "outputs": [
@@ -336,7 +385,7 @@
      "text": [
       "<>:198: SyntaxWarning: invalid escape sequence '\\>'\n",
       "<>:198: SyntaxWarning: invalid escape sequence '\\>'\n",
-      "/var/folders/3p/m0g52j9j69z3gj8ktpgg1dm00000gn/T/ipykernel_96515/4028701564.py:198: SyntaxWarning: invalid escape sequence '\\>'\n",
+      "/var/folders/3s/q2x8bxzj43g4rdvb2wjt67640000gq/T/ipykernel_12564/4028701564.py:198: SyntaxWarning: invalid escape sequence '\\>'\n",
       "  html = HTML(f'<video {opts} src=\"{output_filename}\" type=\"video/{self.opt.ext}\" width={width}\\>')\n"
      ]
     }
@@ -565,10 +614,10 @@
    "execution_count": 13,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2022-09-16T06:50:17.864888Z",
-     "iopub.status.busy": "2022-09-16T06:50:17.864663Z",
-     "iopub.status.idle": "2022-09-16T06:50:19.896847Z",
-     "shell.execute_reply": "2022-09-16T06:50:19.896285Z"
+     "iopub.execute_input": "2024-10-16T09:43:06.298834Z",
+     "iopub.status.busy": "2024-10-16T09:43:06.298734Z",
+     "iopub.status.idle": "2024-10-16T09:43:07.259909Z",
+     "shell.execute_reply": "2024-10-16T09:43:07.259495Z"
     }
    },
    "outputs": [
@@ -592,7 +641,14 @@
   {
    "cell_type": "code",
    "execution_count": 14,
-   "metadata": {},
+   "metadata": {
+    "execution": {
+     "iopub.execute_input": "2024-10-16T09:43:07.261701Z",
+     "iopub.status.busy": "2024-10-16T09:43:07.261561Z",
+     "iopub.status.idle": "2024-10-16T09:43:07.263461Z",
+     "shell.execute_reply": "2024-10-16T09:43:07.263156Z"
+    }
+   },
    "outputs": [],
    "source": [
     "type = 'grating'"
@@ -601,11 +657,18 @@
   {
    "cell_type": "code",
    "execution_count": 15,
-   "metadata": {},
+   "metadata": {
+    "execution": {
+     "iopub.execute_input": "2024-10-16T09:43:07.265091Z",
+     "iopub.status.busy": "2024-10-16T09:43:07.264969Z",
+     "iopub.status.idle": "2024-10-16T09:43:27.244503Z",
+     "shell.execute_reply": "2024-10-16T09:43:27.243869Z"
+    }
+   },
    "outputs": [
     {
      "data": {
-      "image/png": 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+      "image/png": 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",
       "text/plain": [
        "<Figure size 302.847x3937.01 with 1 Axes>"
       ]
@@ -634,10 +697,10 @@
    "execution_count": 16,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2022-09-16T06:50:19.899518Z",
-     "iopub.status.busy": "2022-09-16T06:50:19.899287Z",
-     "iopub.status.idle": "2022-09-16T06:50:19.902454Z",
-     "shell.execute_reply": "2022-09-16T06:50:19.902008Z"
+     "iopub.execute_input": "2024-10-16T09:43:27.248311Z",
+     "iopub.status.busy": "2024-10-16T09:43:27.248044Z",
+     "iopub.status.idle": "2024-10-16T09:43:27.675906Z",
+     "shell.execute_reply": "2024-10-16T09:43:27.675663Z"
     }
    },
    "outputs": [],
@@ -651,10 +714,10 @@
    "execution_count": 17,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2022-09-16T06:50:19.904998Z",
-     "iopub.status.busy": "2022-09-16T06:50:19.904782Z",
-     "iopub.status.idle": "2022-09-16T06:50:19.908171Z",
-     "shell.execute_reply": "2022-09-16T06:50:19.907731Z"
+     "iopub.execute_input": "2024-10-16T09:43:27.677589Z",
+     "iopub.status.busy": "2024-10-16T09:43:27.677500Z",
+     "iopub.status.idle": "2024-10-16T09:43:27.679800Z",
+     "shell.execute_reply": "2024-10-16T09:43:27.679552Z"
     }
    },
    "outputs": [
@@ -689,10 +752,10 @@
    "execution_count": 18,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2022-09-16T06:50:19.910794Z",
-     "iopub.status.busy": "2022-09-16T06:50:19.910587Z",
-     "iopub.status.idle": "2022-09-16T06:50:19.913072Z",
-     "shell.execute_reply": "2022-09-16T06:50:19.912580Z"
+     "iopub.execute_input": "2024-10-16T09:43:27.681057Z",
+     "iopub.status.busy": "2024-10-16T09:43:27.680980Z",
+     "iopub.status.idle": "2024-10-16T09:43:27.682344Z",
+     "shell.execute_reply": "2024-10-16T09:43:27.682143Z"
     }
    },
    "outputs": [],
@@ -715,10 +778,10 @@
    "execution_count": 19,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2022-09-16T06:50:19.915420Z",
-     "iopub.status.busy": "2022-09-16T06:50:19.915215Z",
-     "iopub.status.idle": "2022-09-16T06:50:21.641723Z",
-     "shell.execute_reply": "2022-09-16T06:50:21.641154Z"
+     "iopub.execute_input": "2024-10-16T09:43:27.683507Z",
+     "iopub.status.busy": "2024-10-16T09:43:27.683435Z",
+     "iopub.status.idle": "2024-10-16T09:43:31.221238Z",
+     "shell.execute_reply": "2024-10-16T09:43:31.220945Z"
     }
    },
    "outputs": [
@@ -726,12 +789,48 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "H = 10.000 -> output_filename='2024-08-29_caustique-bands/caustique_H_10.000_153e5c66.png' \n",
-      "H = 15.874 -> output_filename='2024-08-29_caustique-bands/caustique_H_15.874_1b6a450a.png' \n",
-      "H = 25.198 -> output_filename='2024-08-29_caustique-bands/caustique_H_25.198_ea287c35.png' \n",
-      "H = 40.000 -> output_filename='2024-08-29_caustique-bands/caustique_H_40.000_8463edb5.png' \n",
-      "H = 63.496 -> output_filename='2024-08-29_caustique-bands/caustique_H_63.496_4b7997f1.png' \n",
-      "H = 100.794 -> output_filename='2024-08-29_caustique-bands/caustique_H_100.794_45f7e9e2.png' \n",
+      "H = 10.000 -> output_filename='2024-08-29_caustique-bands/caustique_H_10.000_153e5c66.png' \n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "H = 15.874 -> output_filename='2024-08-29_caustique-bands/caustique_H_15.874_1b6a450a.png' \n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "H = 25.198 -> output_filename='2024-08-29_caustique-bands/caustique_H_25.198_ea287c35.png' \n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "H = 40.000 -> output_filename='2024-08-29_caustique-bands/caustique_H_40.000_8463edb5.png' \n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "H = 63.496 -> output_filename='2024-08-29_caustique-bands/caustique_H_63.496_4b7997f1.png' \n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "H = 100.794 -> output_filename='2024-08-29_caustique-bands/caustique_H_100.794_45f7e9e2.png' \n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
       "H = 160.000 -> output_filename='2024-08-29_caustique-bands/caustique_H_160.000_2f8779c2.png' \n"
      ]
     }
@@ -762,10 +861,10 @@
    "execution_count": 20,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2022-09-16T06:50:21.644704Z",
-     "iopub.status.busy": "2022-09-16T06:50:21.644457Z",
-     "iopub.status.idle": "2022-09-16T06:50:23.391217Z",
-     "shell.execute_reply": "2022-09-16T06:50:23.390608Z"
+     "iopub.execute_input": "2024-10-16T09:43:31.223035Z",
+     "iopub.status.busy": "2024-10-16T09:43:31.222910Z",
+     "iopub.status.idle": "2024-10-16T09:43:33.903735Z",
+     "shell.execute_reply": "2024-10-16T09:43:33.903270Z"
     }
    },
    "outputs": [
@@ -773,12 +872,48 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "variation = 0.010  -> output_filename='2024-08-29_caustique-bands/caustique_variation_0.010_3c55538d.png'\n",
-      "variation = 0.019  -> output_filename='2024-08-29_caustique-bands/caustique_variation_0.019_408835ef.png'\n",
-      "variation = 0.037  -> output_filename='2024-08-29_caustique-bands/caustique_variation_0.037_5a5d40e3.png'\n",
-      "variation = 0.072  -> output_filename='2024-08-29_caustique-bands/caustique_variation_0.072_78279c42.png'\n",
-      "variation = 0.139  -> output_filename='2024-08-29_caustique-bands/caustique_variation_0.139_fdb18b7f.png'\n",
-      "variation = 0.268  -> output_filename='2024-08-29_caustique-bands/caustique_variation_0.268_859a5de7.png'\n",
+      "variation = 0.010  -> output_filename='2024-08-29_caustique-bands/caustique_variation_0.010_3c55538d.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "variation = 0.019  -> output_filename='2024-08-29_caustique-bands/caustique_variation_0.019_408835ef.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "variation = 0.037  -> output_filename='2024-08-29_caustique-bands/caustique_variation_0.037_5a5d40e3.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "variation = 0.072  -> output_filename='2024-08-29_caustique-bands/caustique_variation_0.072_78279c42.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "variation = 0.139  -> output_filename='2024-08-29_caustique-bands/caustique_variation_0.139_fdb18b7f.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "variation = 0.268  -> output_filename='2024-08-29_caustique-bands/caustique_variation_0.268_859a5de7.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
       "variation = 0.518  -> output_filename='2024-08-29_caustique-bands/caustique_variation_0.518_bcd6efca.png'\n"
      ]
     }
@@ -805,27 +940,118 @@
   {
    "cell_type": "code",
    "execution_count": 21,
-   "metadata": {},
+   "metadata": {
+    "execution": {
+     "iopub.execute_input": "2024-10-16T09:43:33.905319Z",
+     "iopub.status.busy": "2024-10-16T09:43:33.905216Z",
+     "iopub.status.idle": "2024-10-16T09:43:39.369292Z",
+     "shell.execute_reply": "2024-10-16T09:43:39.369027Z"
+    }
+   },
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "======gamma======\n",
-      "gamma=gamma(default)*0.250=7.500E-01 -> output_filename='2024-08-29_caustique-bands/caustique_gamma_modul_0.250_aed91770.png'\n",
-      "gamma=gamma(default)*0.397=1.191E+00 -> output_filename='2024-08-29_caustique-bands/caustique_gamma_modul_0.397_ba62e1c7.png'\n",
-      "gamma=gamma(default)*0.630=1.890E+00 -> output_filename='2024-08-29_caustique-bands/caustique_gamma_modul_0.630_cfe2ee05.png'\n",
-      "gamma=gamma(default)*1.000=3.000E+00 -> output_filename='2024-08-29_caustique-bands/caustique_gamma_modul_1.000_2d331403.png'\n",
-      "gamma=gamma(default)*1.587=4.762E+00 -> output_filename='2024-08-29_caustique-bands/caustique_gamma_modul_1.587_c87f783a.png'\n",
-      "gamma=gamma(default)*2.520=7.560E+00 -> output_filename='2024-08-29_caustique-bands/caustique_gamma_modul_2.520_0b59a929.png'\n",
+      "======gamma======\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "gamma=gamma(default)*0.250=7.500E-01 -> output_filename='2024-08-29_caustique-bands/caustique_gamma_modul_0.250_aed91770.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "gamma=gamma(default)*0.397=1.191E+00 -> output_filename='2024-08-29_caustique-bands/caustique_gamma_modul_0.397_ba62e1c7.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "gamma=gamma(default)*0.630=1.890E+00 -> output_filename='2024-08-29_caustique-bands/caustique_gamma_modul_0.630_cfe2ee05.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "gamma=gamma(default)*1.000=3.000E+00 -> output_filename='2024-08-29_caustique-bands/caustique_gamma_modul_1.000_2d331403.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "gamma=gamma(default)*1.587=4.762E+00 -> output_filename='2024-08-29_caustique-bands/caustique_gamma_modul_1.587_c87f783a.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "gamma=gamma(default)*2.520=7.560E+00 -> output_filename='2024-08-29_caustique-bands/caustique_gamma_modul_2.520_0b59a929.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
       "gamma=gamma(default)*4.000=1.200E+01 -> output_filename='2024-08-29_caustique-bands/caustique_gamma_modul_4.000_a55584c7.png'\n",
-      "======min_lum======\n",
-      "min_lum=min_lum(default)*0.250=2.500E-03 -> output_filename='2024-08-29_caustique-bands/caustique_min_lum_modul_0.250_8afb877a.png'\n",
-      "min_lum=min_lum(default)*0.397=3.969E-03 -> output_filename='2024-08-29_caustique-bands/caustique_min_lum_modul_0.397_76a4fd49.png'\n",
-      "min_lum=min_lum(default)*0.630=6.300E-03 -> output_filename='2024-08-29_caustique-bands/caustique_min_lum_modul_0.630_c4389f7e.png'\n",
-      "min_lum=min_lum(default)*1.000=1.000E-02 -> output_filename='2024-08-29_caustique-bands/caustique_min_lum_modul_1.000_1cff0d98.png'\n",
-      "min_lum=min_lum(default)*1.587=1.587E-02 -> output_filename='2024-08-29_caustique-bands/caustique_min_lum_modul_1.587_8893da46.png'\n",
-      "min_lum=min_lum(default)*2.520=2.520E-02 -> output_filename='2024-08-29_caustique-bands/caustique_min_lum_modul_2.520_7249fbf2.png'\n",
+      "======min_lum======\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "min_lum=min_lum(default)*0.250=2.500E-03 -> output_filename='2024-08-29_caustique-bands/caustique_min_lum_modul_0.250_8afb877a.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "min_lum=min_lum(default)*0.397=3.969E-03 -> output_filename='2024-08-29_caustique-bands/caustique_min_lum_modul_0.397_76a4fd49.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "min_lum=min_lum(default)*0.630=6.300E-03 -> output_filename='2024-08-29_caustique-bands/caustique_min_lum_modul_0.630_c4389f7e.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "min_lum=min_lum(default)*1.000=1.000E-02 -> output_filename='2024-08-29_caustique-bands/caustique_min_lum_modul_1.000_1cff0d98.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "min_lum=min_lum(default)*1.587=1.587E-02 -> output_filename='2024-08-29_caustique-bands/caustique_min_lum_modul_1.587_8893da46.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "min_lum=min_lum(default)*2.520=2.520E-02 -> output_filename='2024-08-29_caustique-bands/caustique_min_lum_modul_2.520_7249fbf2.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
       "min_lum=min_lum(default)*4.000=4.000E-02 -> output_filename='2024-08-29_caustique-bands/caustique_min_lum_modul_4.000_664cb2c0.png'\n"
      ]
     }
@@ -855,161 +1081,16099 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "metadata": {},
+   "execution_count": 22,
+   "metadata": {
+    "execution": {
+     "iopub.execute_input": "2024-10-16T09:43:39.371388Z",
+     "iopub.status.busy": "2024-10-16T09:43:39.371265Z",
+     "iopub.status.idle": "2024-10-16T09:43:59.766666Z",
+     "shell.execute_reply": "2024-10-16T09:43:59.765977Z"
+    }
+   },
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "seed=2024 -> output_filename='2024-08-29_caustique-bands/caustique_seed_2024_061fc695.png'\n",
+      "seed=2024 -> output_filename='2024-08-29_caustique-bands/caustique_seed_2024_061fc695.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
       "seed=2025 -> output_filename='2024-08-29_caustique-bands/caustique_seed_2025_b699fc73.png'\n"
      ]
-    }
-   ],
-   "source": [
-    "for seed_increment in range(10):\n",
-    "    opt = init()\n",
-    "    c = Caustique(opt)\n",
-    "    c.d['seed'] = c.d['seed'] + seed_increment\n",
-    "    c.opt.tag = f'{c.opt.tag}_seed_{c.d['seed']}'\n",
-    "    \n",
-    "    z = c.wave()\n",
-    "    output_filename = c.plot(z, image)\n",
-    "    print(f'seed={c.d['seed']} -> {output_filename=}')\n",
-    "    if c.opt.do_display: c.show(output_filename)"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "## other variables on the wave"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": null,
-   "metadata": {
-    "execution": {
-     "iopub.execute_input": "2022-09-16T06:50:23.394466Z",
-     "iopub.status.busy": "2022-09-16T06:50:23.394219Z",
-     "iopub.status.idle": "2022-09-16T06:50:23.686162Z",
-     "shell.execute_reply": "2022-09-16T06:50:23.685512Z"
     },
-    "tags": []
-   },
-   "outputs": [],
-   "source": [
-    "for variable in ['scale', 'B_sf', 'theta',  'B_theta', 'zmin']: #  'V_Y', 'V_X', 'B_V', \n",
-    "    print(f'======{variable}======')\n",
-    "    for modul in np.logspace(-1, 1, N_scan, base=base):\n",
-    "        opt = init()\n",
-    "        c = Caustique(opt)\n",
-    "        c.d[variable] *= modul\n",
-    "        c.opt.tag = f'{c.opt.tag}_{variable}_modul_{modul:.3f}'\n",
-    "        \n",
-    "        output_filename = c.get_filename()\n",
-    "        if os.path.isfile(output_filename) and not(c.opt.do_recompute):            \n",
-    "            z = c.wave(do_cache=False)\n",
-    "            output_filename_ = c.plot(z, image)\n",
-    "            assert(output_filename == output_filename_)\n",
-    "        print(f'{variable}={variable}(default)*{modul:.3f}={c.d[variable]:.3E} -> {output_filename=}')\n",
-    "        if c.opt.do_display: c.show(output_filename)"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "## shining a grating image to the wave"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": null,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "c = Caustique(init())\n",
-    "c.opt.tag = f'{c.opt.tag}_{type}-image'\n",
-    "output_filename = c.plot(z, image)\n",
-    "c.show(output_filename)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": null,
-   "metadata": {},
-   "outputs": [],
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "seed=2026 -> output_filename='2024-08-29_caustique-bands/caustique_seed_2026_0224d266.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "seed=2027 -> output_filename='2024-08-29_caustique-bands/caustique_seed_2027_613fa57d.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "seed=2028 -> output_filename='2024-08-29_caustique-bands/caustique_seed_2028_54c0e239.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "seed=2029 -> output_filename='2024-08-29_caustique-bands/caustique_seed_2029_d2797b24.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "seed=2030 -> output_filename='2024-08-29_caustique-bands/caustique_seed_2030_faf4c45b.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "seed=2031 -> output_filename='2024-08-29_caustique-bands/caustique_seed_2031_89e1e16d.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "seed=2032 -> output_filename='2024-08-29_caustique-bands/caustique_seed_2032_b7b43343.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "seed=2033 -> output_filename='2024-08-29_caustique-bands/caustique_seed_2033_88c7cd8a.png'\n"
+     ]
+    }
+   ],
    "source": [
-    "for H_ in c.opt.H*np.logspace(-1, 1, N_scan, base=base):\n",
+    "for seed_increment in range(10):\n",
     "    opt = init()\n",
     "    c = Caustique(opt)\n",
-    "    c.opt.H = H_\n",
-    "    c.opt.tag = f'{c.opt.tag}_{type}-image_H_{H_:.3f}'\n",
+    "    c.d['seed'] = c.d['seed'] + seed_increment\n",
+    "    c.opt.tag = f'{c.opt.tag}_seed_{c.d['seed']}'\n",
     "    \n",
+    "    z = c.wave()\n",
     "    output_filename = c.plot(z, image)\n",
-    "    print(f'H = {H_:.3f} -> {output_filename=} ')\n",
-    "    if c.opt.do_display: c.show(output_filename)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": null,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "for threshold in np.linspace(0, 1, N_scan+2, endpoint=True)[1:-1]:\n",
-    "    opt = init()\n",
-    "    c = Caustique(opt)\n",
-    "\n",
-    "    c.opt.tag = f'{c.opt.tag}_{type}-image_{threshold=:.3f}'\n",
-    "    image = generate_image(nx=c.opt.nx, ny=c.opt.ny, threshold=threshold)\n",
-    "    output_filename = c.plot(z, image)\n",
-    "    print(f'{threshold:.3f} -> {output_filename=} ')\n",
-    "    if c.opt.do_display: c.show(output_filename)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": null,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "for radius in np.linspace(0, 1, N_scan+1)[1:]:\n",
-    "    opt = init()\n",
-    "    c = Caustique(opt)\n",
-    "\n",
-    "    c.opt.tag = f'{c.opt.tag}_{type}-image_{radius=:.3f}'\n",
-    "    image = generate_image(nx=c.opt.nx, ny=c.opt.ny, radius=radius)\n",
-    "    output_filename = c.plot(z, image)\n",
-    "    print(f'{radius=:.3f} -> {output_filename=} ')\n",
+    "    print(f'seed={c.d['seed']} -> {output_filename=}')\n",
     "    if c.opt.do_display: c.show(output_filename)"
    ]
   },
   {
-   "cell_type": "code",
-   "execution_count": null,
+   "cell_type": "markdown",
    "metadata": {},
-   "outputs": [],
    "source": [
-    "for periods in np.logspace(0, 1, N_scan, base=10):\n",
-    "    opt = init()\n",
-    "    c = Caustique(opt)\n",
-    "\n",
-    "    c.opt.tag = f'{c.opt.tag}_{type}-image_{periods=:.2e}'\n",
-    "    image = generate_image(nx=c.opt.nx, ny=c.opt.ny, periods=periods)\n",
-    "    output_filename = c.plot(z, image)\n",
-    "    print(f'{periods=:.3f} -> {output_filename=} ')\n",
-    "    if c.opt.do_display: c.show(output_filename)"
+    "## other variables on the wave"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "metadata": {},
-   "outputs": [],
+   "execution_count": 23,
+   "metadata": {
+    "execution": {
+     "iopub.execute_input": "2024-10-16T09:43:59.769881Z",
+     "iopub.status.busy": "2024-10-16T09:43:59.769580Z",
+     "iopub.status.idle": "2024-10-16T10:32:33.797964Z",
+     "shell.execute_reply": "2024-10-16T10:32:33.791875Z"
+    },
+    "tags": []
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "======scale======\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "scale=scale(default)*0.250=9.728E+02 -> output_filename='2024-08-29_caustique-bands/caustique_scale_modul_0.250_e0e3dfd4.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "scale=scale(default)*0.397=1.544E+03 -> output_filename='2024-08-29_caustique-bands/caustique_scale_modul_0.397_8a7115a0.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "scale=scale(default)*0.630=2.451E+03 -> output_filename='2024-08-29_caustique-bands/caustique_scale_modul_0.630_2af29e7a.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "scale=scale(default)*1.000=3.891E+03 -> output_filename='2024-08-29_caustique-bands/caustique_scale_modul_1.000_beb494bc.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "scale=scale(default)*1.587=6.177E+03 -> output_filename='2024-08-29_caustique-bands/caustique_scale_modul_1.587_d8a53cc3.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "scale=scale(default)*2.520=9.805E+03 -> output_filename='2024-08-29_caustique-bands/caustique_scale_modul_2.520_d8b6ab95.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "scale=scale(default)*4.000=1.556E+04 -> output_filename='2024-08-29_caustique-bands/caustique_scale_modul_4.000_97e348c5.png'\n",
+      "======B_sf======\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "B_sf=B_sf(default)*0.250=4.025E-01 -> output_filename='2024-08-29_caustique-bands/caustique_B_sf_modul_0.250_d6aa7d80.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "B_sf=B_sf(default)*0.397=6.389E-01 -> output_filename='2024-08-29_caustique-bands/caustique_B_sf_modul_0.397_34f80ff2.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "B_sf=B_sf(default)*0.630=1.014E+00 -> output_filename='2024-08-29_caustique-bands/caustique_B_sf_modul_0.630_94fe18ca.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "B_sf=B_sf(default)*1.000=1.610E+00 -> output_filename='2024-08-29_caustique-bands/caustique_B_sf_modul_1.000_c5d31727.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "B_sf=B_sf(default)*1.587=2.556E+00 -> output_filename='2024-08-29_caustique-bands/caustique_B_sf_modul_1.587_990dd697.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "B_sf=B_sf(default)*2.520=4.057E+00 -> output_filename='2024-08-29_caustique-bands/caustique_B_sf_modul_2.520_238ecb60.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "B_sf=B_sf(default)*4.000=6.440E+00 -> output_filename='2024-08-29_caustique-bands/caustique_B_sf_modul_4.000_8db46ff2.png'\n",
+      "======theta======\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "theta=theta(default)*0.250=3.927E-01 -> output_filename='2024-08-29_caustique-bands/caustique_theta_modul_0.250_ad01e86a.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "theta=theta(default)*0.397=6.234E-01 -> output_filename='2024-08-29_caustique-bands/caustique_theta_modul_0.397_e6c909d6.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "theta=theta(default)*0.630=9.895E-01 -> output_filename='2024-08-29_caustique-bands/caustique_theta_modul_0.630_d30c5197.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "theta=theta(default)*1.000=1.571E+00 -> output_filename='2024-08-29_caustique-bands/caustique_theta_modul_1.000_f53bb7d2.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "theta=theta(default)*1.587=2.493E+00 -> output_filename='2024-08-29_caustique-bands/caustique_theta_modul_1.587_694de02e.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "theta=theta(default)*2.520=3.958E+00 -> output_filename='2024-08-29_caustique-bands/caustique_theta_modul_2.520_cf29a0f7.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "theta=theta(default)*4.000=6.283E+00 -> output_filename='2024-08-29_caustique-bands/caustique_theta_modul_4.000_33e1ca4a.png'\n",
+      "======B_theta======\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "B_theta=B_theta(default)*0.250=2.618E-01 -> output_filename='2024-08-29_caustique-bands/caustique_B_theta_modul_0.250_95bceb2c.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "B_theta=B_theta(default)*0.397=4.156E-01 -> output_filename='2024-08-29_caustique-bands/caustique_B_theta_modul_0.397_21587797.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "B_theta=B_theta(default)*0.630=6.597E-01 -> output_filename='2024-08-29_caustique-bands/caustique_B_theta_modul_0.630_d9dcab68.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "B_theta=B_theta(default)*1.000=1.047E+00 -> output_filename='2024-08-29_caustique-bands/caustique_B_theta_modul_1.000_40cfadaf.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "B_theta=B_theta(default)*1.587=1.662E+00 -> output_filename='2024-08-29_caustique-bands/caustique_B_theta_modul_1.587_d2c73741.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "B_theta=B_theta(default)*2.520=2.639E+00 -> output_filename='2024-08-29_caustique-bands/caustique_B_theta_modul_2.520_4112b8bf.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "B_theta=B_theta(default)*4.000=4.189E+00 -> output_filename='2024-08-29_caustique-bands/caustique_B_theta_modul_4.000_0fd04c76.png'\n",
+      "======zmin======\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "zmin=zmin(default)*0.250=2.500E-02 -> output_filename='2024-08-29_caustique-bands/caustique_zmin_modul_0.250_1b6360ce.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "zmin=zmin(default)*0.397=3.969E-02 -> output_filename='2024-08-29_caustique-bands/caustique_zmin_modul_0.397_e554a286.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "zmin=zmin(default)*0.630=6.300E-02 -> output_filename='2024-08-29_caustique-bands/caustique_zmin_modul_0.630_423d1a71.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "zmin=zmin(default)*1.000=1.000E-01 -> output_filename='2024-08-29_caustique-bands/caustique_zmin_modul_1.000_df5cb709.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "zmin=zmin(default)*1.587=1.587E-01 -> output_filename='2024-08-29_caustique-bands/caustique_zmin_modul_1.587_17261ce8.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "zmin=zmin(default)*2.520=2.520E-01 -> output_filename='2024-08-29_caustique-bands/caustique_zmin_modul_2.520_36517417.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "zmin=zmin(default)*4.000=4.000E-01 -> output_filename='2024-08-29_caustique-bands/caustique_zmin_modul_4.000_1ff55d14.png'\n"
+     ]
+    }
+   ],
+   "source": [
+    "for variable in ['scale', 'B_sf', 'theta',  'B_theta', 'zmin']: #  'V_Y', 'V_X', 'B_V', \n",
+    "    print(f'======{variable}======')\n",
+    "    for modul in np.logspace(-1, 1, N_scan, base=base):\n",
+    "        opt = init()\n",
+    "        c = Caustique(opt)\n",
+    "        c.d[variable] *= modul\n",
+    "        c.opt.tag = f'{c.opt.tag}_{variable}_modul_{modul:.3f}'\n",
+    "        \n",
+    "        output_filename = c.get_filename()\n",
+    "        if os.path.isfile(output_filename) and not(c.opt.do_recompute):            \n",
+    "            z = c.wave(do_cache=False)\n",
+    "            output_filename_ = c.plot(z, image)\n",
+    "            assert(output_filename == output_filename_)\n",
+    "        print(f'{variable}={variable}(default)*{modul:.3f}={c.d[variable]:.3E} -> {output_filename=}')\n",
+    "        if c.opt.do_display: c.show(output_filename)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## shining a grating image to the wave"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 24,
+   "metadata": {
+    "execution": {
+     "iopub.execute_input": "2024-10-16T10:32:33.815285Z",
+     "iopub.status.busy": "2024-10-16T10:32:33.814706Z",
+     "iopub.status.idle": "2024-10-16T10:32:34.385775Z",
+     "shell.execute_reply": "2024-10-16T10:32:34.385338Z"
+    }
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<img src=\"2024-08-29_caustique-bands/caustique_grating-image_b9f73bc4.png\" width=\"1024\"/>"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Image object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "c = Caustique(init())\n",
+    "c.opt.tag = f'{c.opt.tag}_{type}-image'\n",
+    "output_filename = c.plot(z, image)\n",
+    "c.show(output_filename)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 25,
+   "metadata": {
+    "execution": {
+     "iopub.execute_input": "2024-10-16T10:32:34.391068Z",
+     "iopub.status.busy": "2024-10-16T10:32:34.390830Z",
+     "iopub.status.idle": "2024-10-16T10:32:40.105626Z",
+     "shell.execute_reply": "2024-10-16T10:32:40.105211Z"
+    }
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "H = 10.000 -> output_filename='2024-08-29_caustique-bands/caustique_grating-image_H_10.000_40872493.png' \n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "H = 15.874 -> output_filename='2024-08-29_caustique-bands/caustique_grating-image_H_15.874_0efb4c4a.png' \n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "H = 25.198 -> output_filename='2024-08-29_caustique-bands/caustique_grating-image_H_25.198_7ef7a83b.png' \n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "H = 40.000 -> output_filename='2024-08-29_caustique-bands/caustique_grating-image_H_40.000_3e027d72.png' \n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "H = 63.496 -> output_filename='2024-08-29_caustique-bands/caustique_grating-image_H_63.496_ef991df5.png' \n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "H = 100.794 -> output_filename='2024-08-29_caustique-bands/caustique_grating-image_H_100.794_ff997582.png' \n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "H = 160.000 -> output_filename='2024-08-29_caustique-bands/caustique_grating-image_H_160.000_9f65861d.png' \n"
+     ]
+    }
+   ],
+   "source": [
+    "for H_ in c.opt.H*np.logspace(-1, 1, N_scan, base=base):\n",
+    "    opt = init()\n",
+    "    c = Caustique(opt)\n",
+    "    c.opt.H = H_\n",
+    "    c.opt.tag = f'{c.opt.tag}_{type}-image_H_{H_:.3f}'\n",
+    "    \n",
+    "    output_filename = c.plot(z, image)\n",
+    "    print(f'H = {H_:.3f} -> {output_filename=} ')\n",
+    "    if c.opt.do_display: c.show(output_filename)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 26,
+   "metadata": {
+    "execution": {
+     "iopub.execute_input": "2024-10-16T10:32:40.110917Z",
+     "iopub.status.busy": "2024-10-16T10:32:40.110717Z",
+     "iopub.status.idle": "2024-10-16T10:39:19.049238Z",
+     "shell.execute_reply": "2024-10-16T10:39:19.045965Z"
+    }
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "0.125 -> output_filename='2024-08-29_caustique-bands/caustique_grating-image_threshold=0.125_a1972b4e.png' \n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "0.250 -> output_filename='2024-08-29_caustique-bands/caustique_grating-image_threshold=0.250_a6111596.png' \n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "0.375 -> output_filename='2024-08-29_caustique-bands/caustique_grating-image_threshold=0.375_371ef1d8.png' \n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "0.500 -> output_filename='2024-08-29_caustique-bands/caustique_grating-image_threshold=0.500_f6eaeb24.png' \n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "0.625 -> output_filename='2024-08-29_caustique-bands/caustique_grating-image_threshold=0.625_9d96d959.png' \n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "0.750 -> output_filename='2024-08-29_caustique-bands/caustique_grating-image_threshold=0.750_828cf286.png' \n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "0.875 -> output_filename='2024-08-29_caustique-bands/caustique_grating-image_threshold=0.875_e8e80cbe.png' \n"
+     ]
+    }
+   ],
+   "source": [
+    "for threshold in np.linspace(0, 1, N_scan+2, endpoint=True)[1:-1]:\n",
+    "    opt = init()\n",
+    "    c = Caustique(opt)\n",
+    "\n",
+    "    c.opt.tag = f'{c.opt.tag}_{type}-image_{threshold=:.3f}'\n",
+    "    image = generate_image(nx=c.opt.nx, ny=c.opt.ny, threshold=threshold)\n",
+    "    output_filename = c.plot(z, image)\n",
+    "    print(f'{threshold:.3f} -> {output_filename=} ')\n",
+    "    if c.opt.do_display: c.show(output_filename)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 27,
+   "metadata": {
+    "execution": {
+     "iopub.execute_input": "2024-10-16T10:39:19.059775Z",
+     "iopub.status.busy": "2024-10-16T10:39:19.059592Z",
+     "iopub.status.idle": "2024-10-16T10:43:57.657865Z",
+     "shell.execute_reply": "2024-10-16T10:43:57.655454Z"
+    }
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "radius=0.143 -> output_filename='2024-08-29_caustique-bands/caustique_grating-image_radius=0.143_59eb3d16.png' \n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "radius=0.286 -> output_filename='2024-08-29_caustique-bands/caustique_grating-image_radius=0.286_df7f48b3.png' \n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "radius=0.429 -> output_filename='2024-08-29_caustique-bands/caustique_grating-image_radius=0.429_c2f8d199.png' \n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "radius=0.571 -> output_filename='2024-08-29_caustique-bands/caustique_grating-image_radius=0.571_3e186426.png' \n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "radius=0.714 -> output_filename='2024-08-29_caustique-bands/caustique_grating-image_radius=0.714_ec976669.png' \n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "radius=0.857 -> output_filename='2024-08-29_caustique-bands/caustique_grating-image_radius=0.857_5f23c6eb.png' \n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "radius=1.000 -> output_filename='2024-08-29_caustique-bands/caustique_grating-image_radius=1.000_564212b3.png' \n"
+     ]
+    }
+   ],
+   "source": [
+    "for radius in np.linspace(0, 1, N_scan+1)[1:]:\n",
+    "    opt = init()\n",
+    "    c = Caustique(opt)\n",
+    "\n",
+    "    c.opt.tag = f'{c.opt.tag}_{type}-image_{radius=:.3f}'\n",
+    "    image = generate_image(nx=c.opt.nx, ny=c.opt.ny, radius=radius)\n",
+    "    output_filename = c.plot(z, image)\n",
+    "    print(f'{radius=:.3f} -> {output_filename=} ')\n",
+    "    if c.opt.do_display: c.show(output_filename)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 28,
+   "metadata": {
+    "execution": {
+     "iopub.execute_input": "2024-10-16T10:43:57.666020Z",
+     "iopub.status.busy": "2024-10-16T10:43:57.665426Z",
+     "iopub.status.idle": "2024-10-16T10:50:12.167384Z",
+     "shell.execute_reply": "2024-10-16T10:50:12.165405Z"
+    }
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "periods=1.000 -> output_filename='2024-08-29_caustique-bands/caustique_grating-image_periods=1.00e+00_fb012ca2.png' \n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "periods=1.468 -> output_filename='2024-08-29_caustique-bands/caustique_grating-image_periods=1.47e+00_66a6bf8a.png' \n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "periods=2.154 -> output_filename='2024-08-29_caustique-bands/caustique_grating-image_periods=2.15e+00_5026edd6.png' \n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "periods=3.162 -> output_filename='2024-08-29_caustique-bands/caustique_grating-image_periods=3.16e+00_508330c4.png' \n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "periods=4.642 -> output_filename='2024-08-29_caustique-bands/caustique_grating-image_periods=4.64e+00_9ecf5681.png' \n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "periods=6.813 -> output_filename='2024-08-29_caustique-bands/caustique_grating-image_periods=6.81e+00_90dd3377.png' \n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "periods=10.000 -> output_filename='2024-08-29_caustique-bands/caustique_grating-image_periods=1.00e+01_8fdb3822.png' \n"
+     ]
+    }
+   ],
+   "source": [
+    "for periods in np.logspace(0, 1, N_scan, base=10):\n",
+    "    opt = init()\n",
+    "    c = Caustique(opt)\n",
+    "\n",
+    "    c.opt.tag = f'{c.opt.tag}_{type}-image_{periods=:.2e}'\n",
+    "    image = generate_image(nx=c.opt.nx, ny=c.opt.ny, periods=periods)\n",
+    "    output_filename = c.plot(z, image)\n",
+    "    print(f'{periods=:.3f} -> {output_filename=} ')\n",
+    "    if c.opt.do_display: c.show(output_filename)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 29,
+   "metadata": {
+    "execution": {
+     "iopub.execute_input": "2024-10-16T10:50:12.177322Z",
+     "iopub.status.busy": "2024-10-16T10:50:12.177063Z",
+     "iopub.status.idle": "2024-10-18T04:42:52.061388Z",
+     "shell.execute_reply": "2024-10-18T04:42:52.053288Z"
+    }
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "======scale======\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "scale=scale(default)*0.250=9.728E+02 -> output_filename='2024-08-29_caustique-bands/caustique_scale_modul_0.250_e0e3dfd4.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "scale=scale(default)*0.397=1.544E+03 -> output_filename='2024-08-29_caustique-bands/caustique_scale_modul_0.397_8a7115a0.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "scale=scale(default)*0.630=2.451E+03 -> output_filename='2024-08-29_caustique-bands/caustique_scale_modul_0.630_2af29e7a.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "scale=scale(default)*1.000=3.891E+03 -> output_filename='2024-08-29_caustique-bands/caustique_scale_modul_1.000_beb494bc.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "scale=scale(default)*1.587=6.177E+03 -> output_filename='2024-08-29_caustique-bands/caustique_scale_modul_1.587_d8a53cc3.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "scale=scale(default)*2.520=9.805E+03 -> output_filename='2024-08-29_caustique-bands/caustique_scale_modul_2.520_d8b6ab95.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "scale=scale(default)*4.000=1.556E+04 -> output_filename='2024-08-29_caustique-bands/caustique_scale_modul_4.000_97e348c5.png'\n",
+      "======B_sf======\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "B_sf=B_sf(default)*0.250=4.025E-01 -> output_filename='2024-08-29_caustique-bands/caustique_B_sf_modul_0.250_d6aa7d80.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "B_sf=B_sf(default)*0.397=6.389E-01 -> output_filename='2024-08-29_caustique-bands/caustique_B_sf_modul_0.397_34f80ff2.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "B_sf=B_sf(default)*0.630=1.014E+00 -> output_filename='2024-08-29_caustique-bands/caustique_B_sf_modul_0.630_94fe18ca.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "B_sf=B_sf(default)*1.000=1.610E+00 -> output_filename='2024-08-29_caustique-bands/caustique_B_sf_modul_1.000_c5d31727.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "B_sf=B_sf(default)*1.587=2.556E+00 -> output_filename='2024-08-29_caustique-bands/caustique_B_sf_modul_1.587_990dd697.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "B_sf=B_sf(default)*2.520=4.057E+00 -> output_filename='2024-08-29_caustique-bands/caustique_B_sf_modul_2.520_238ecb60.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "B_sf=B_sf(default)*4.000=6.440E+00 -> output_filename='2024-08-29_caustique-bands/caustique_B_sf_modul_4.000_8db46ff2.png'\n",
+      "======theta======\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "theta=theta(default)*0.250=3.927E-01 -> output_filename='2024-08-29_caustique-bands/caustique_theta_modul_0.250_ad01e86a.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "theta=theta(default)*0.397=6.234E-01 -> output_filename='2024-08-29_caustique-bands/caustique_theta_modul_0.397_e6c909d6.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "theta=theta(default)*0.630=9.895E-01 -> output_filename='2024-08-29_caustique-bands/caustique_theta_modul_0.630_d30c5197.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "theta=theta(default)*1.000=1.571E+00 -> output_filename='2024-08-29_caustique-bands/caustique_theta_modul_1.000_f53bb7d2.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "theta=theta(default)*1.587=2.493E+00 -> output_filename='2024-08-29_caustique-bands/caustique_theta_modul_1.587_694de02e.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "theta=theta(default)*2.520=3.958E+00 -> output_filename='2024-08-29_caustique-bands/caustique_theta_modul_2.520_cf29a0f7.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "theta=theta(default)*4.000=6.283E+00 -> output_filename='2024-08-29_caustique-bands/caustique_theta_modul_4.000_33e1ca4a.png'\n",
+      "======B_theta======\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "B_theta=B_theta(default)*0.250=2.618E-01 -> output_filename='2024-08-29_caustique-bands/caustique_B_theta_modul_0.250_95bceb2c.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "B_theta=B_theta(default)*0.397=4.156E-01 -> output_filename='2024-08-29_caustique-bands/caustique_B_theta_modul_0.397_21587797.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "B_theta=B_theta(default)*0.630=6.597E-01 -> output_filename='2024-08-29_caustique-bands/caustique_B_theta_modul_0.630_d9dcab68.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "B_theta=B_theta(default)*1.000=1.047E+00 -> output_filename='2024-08-29_caustique-bands/caustique_B_theta_modul_1.000_40cfadaf.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "B_theta=B_theta(default)*1.587=1.662E+00 -> output_filename='2024-08-29_caustique-bands/caustique_B_theta_modul_1.587_d2c73741.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "B_theta=B_theta(default)*2.520=2.639E+00 -> output_filename='2024-08-29_caustique-bands/caustique_B_theta_modul_2.520_4112b8bf.png'\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      "  0%|                                                                                                    | 0/1 [00:00<?, ?it/s]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      "  0%|                                                                                                   | 0/81 [00:00<?, ?it/s]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\u001b[A"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      "  1%|█                                                                                       | 1/81 [03:20<4:27:56, 200.96s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\u001b[A"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      "  2%|██▏                                                                                     | 2/81 [11:57<8:29:11, 386.73s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\u001b[A"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      "  4%|███▎                                                                                    | 3/81 [17:58<8:07:11, 374.76s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\u001b[A"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      "  5%|████▎                                                                                   | 4/81 [19:50<5:48:02, 271.20s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\u001b[A"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      "  6%|█████▍                                                                                  | 5/81 [32:12<9:18:21, 440.81s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\u001b[A"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      "  7%|██████▌                                                                                 | 6/81 [41:15<9:54:34, 475.66s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\u001b[A"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      "  9%|███████▌                                                                                | 7/81 [42:52<7:14:02, 351.92s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\u001b[A"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      " 10%|████████▋                                                                               | 8/81 [44:18<5:25:10, 267.26s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\u001b[A"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      " 11%|█████████▊                                                                              | 9/81 [45:29<4:07:07, 205.94s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\u001b[A"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      " 12%|██████████▋                                                                            | 10/81 [46:57<3:20:35, 169.52s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\u001b[A"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      " 14%|███████████▊                                                                           | 11/81 [48:13<2:44:16, 140.80s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\u001b[A"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      " 15%|████████████▉                                                                          | 12/81 [50:21<2:37:36, 137.05s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\u001b[A"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      " 16%|█████████████▉                                                                         | 13/81 [52:25<2:30:42, 132.97s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\u001b[A"
+     ]
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+     ]
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+      "\r",
+      "100%|███████████████████████████████████████████████████████████████████████████████████████| 81/81 [6:03:18<00:00, 458.34s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\u001b[A"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      "100%|███████████████████████████████████████████████████████████████████████████████████████| 81/81 [6:03:18<00:00, 269.12s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\n",
+      "\r",
+      "100%|███████████████████████████████████████████████████████████████████████████████████████| 1/1 [6:03:18<00:00, 21798.40s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      "100%|███████████████████████████████████████████████████████████████████████████████████████| 1/1 [6:03:18<00:00, 21798.40s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      "  0%|                                                                                                    | 0/1 [00:00<?, ?it/s]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      "100%|████████████████████████████████████████████████████████████████████████████████████████████| 1/1 [00:03<00:00,  3.31s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      "100%|████████████████████████████████████████████████████████████████████████████████████████████| 1/1 [00:03<00:00,  3.31s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "B_theta=B_theta(default)*4.000=4.189E+00 -> output_filename='2024-08-29_caustique-bands/caustique_B_theta_modul_4.000_0fd04c76.png'\n",
+      "======gamma======\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "gamma=gamma(default)*0.250=7.500E-01 -> output_filename='2024-08-29_caustique-bands/caustique_gamma_modul_0.250_aed91770.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "gamma=gamma(default)*0.397=1.191E+00 -> output_filename='2024-08-29_caustique-bands/caustique_gamma_modul_0.397_ba62e1c7.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "gamma=gamma(default)*0.630=1.890E+00 -> output_filename='2024-08-29_caustique-bands/caustique_gamma_modul_0.630_cfe2ee05.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "gamma=gamma(default)*1.000=3.000E+00 -> output_filename='2024-08-29_caustique-bands/caustique_gamma_modul_1.000_2d331403.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "gamma=gamma(default)*1.587=4.762E+00 -> output_filename='2024-08-29_caustique-bands/caustique_gamma_modul_1.587_c87f783a.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "gamma=gamma(default)*2.520=7.560E+00 -> output_filename='2024-08-29_caustique-bands/caustique_gamma_modul_2.520_0b59a929.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "gamma=gamma(default)*4.000=1.200E+01 -> output_filename='2024-08-29_caustique-bands/caustique_gamma_modul_4.000_a55584c7.png'\n",
+      "======min_lum======\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "min_lum=min_lum(default)*0.250=2.500E-03 -> output_filename='2024-08-29_caustique-bands/caustique_min_lum_modul_0.250_8afb877a.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "min_lum=min_lum(default)*0.397=3.969E-03 -> output_filename='2024-08-29_caustique-bands/caustique_min_lum_modul_0.397_76a4fd49.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "min_lum=min_lum(default)*0.630=6.300E-03 -> output_filename='2024-08-29_caustique-bands/caustique_min_lum_modul_0.630_c4389f7e.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "min_lum=min_lum(default)*1.000=1.000E-02 -> output_filename='2024-08-29_caustique-bands/caustique_min_lum_modul_1.000_1cff0d98.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "min_lum=min_lum(default)*1.587=1.587E-02 -> output_filename='2024-08-29_caustique-bands/caustique_min_lum_modul_1.587_8893da46.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "min_lum=min_lum(default)*2.520=2.520E-02 -> output_filename='2024-08-29_caustique-bands/caustique_min_lum_modul_2.520_7249fbf2.png'\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "min_lum=min_lum(default)*4.000=4.000E-02 -> output_filename='2024-08-29_caustique-bands/caustique_min_lum_modul_4.000_664cb2c0.png'\n",
+      "======zmin======\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      "  0%|                                                                                                    | 0/1 [00:00<?, ?it/s]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      "  0%|                                                                                                   | 0/81 [00:00<?, ?it/s]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\u001b[A"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      "  1%|█                                                                                        | 1/81 [01:38<2:11:04, 98.30s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\u001b[A"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      "  2%|██▏                                                                                      | 2/81 [03:01<1:57:51, 89.51s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\u001b[A"
+     ]
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+     "name": "stderr",
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+     "text": [
+      "\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      "  4%|███▎                                                                                    | 3/81 [05:08<2:18:25, 106.48s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\u001b[A"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      "  5%|████▍                                                                                    | 4/81 [06:33<2:05:48, 98.04s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\u001b[A"
+     ]
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+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      "  6%|█████▍                                                                                   | 5/81 [07:43<1:51:37, 88.12s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\u001b[A"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      "  7%|██████▌                                                                                  | 6/81 [08:58<1:44:09, 83.33s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\u001b[A"
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+     "text": [
+      "\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      "  9%|███████▋                                                                                 | 7/81 [10:07<1:37:11, 78.80s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\u001b[A"
+     ]
+    },
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+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      " 10%|████████▊                                                                                | 8/81 [11:37<1:40:13, 82.37s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\u001b[A"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      " 11%|█████████▉                                                                               | 9/81 [12:54<1:36:40, 80.56s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\u001b[A"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      " 12%|██████████▊                                                                             | 10/81 [14:07<1:32:42, 78.34s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\u001b[A"
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+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      " 14%|███████████▉                                                                            | 11/81 [15:43<1:37:50, 83.87s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\u001b[A"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      " 15%|█████████████                                                                           | 12/81 [17:04<1:35:26, 82.99s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\u001b[A"
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+    },
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+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      " 16%|██████████████                                                                          | 13/81 [18:50<1:41:40, 89.71s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\u001b[A"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      " 17%|███████████████▏                                                                        | 14/81 [20:03<1:34:42, 84.81s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\u001b[A"
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+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\n"
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+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      " 19%|████████████████                                                                       | 15/81 [35:47<6:18:06, 343.73s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\u001b[A"
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+    },
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+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
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+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      " 20%|█████████████████▏                                                                     | 16/81 [37:22<4:51:28, 269.06s/it]"
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+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\u001b[A"
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+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      " 21%|██████████████████▎                                                                    | 17/81 [38:37<3:44:45, 210.71s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
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+     "name": "stderr",
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+     "text": [
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+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      " 22%|███████████████████▎                                                                   | 18/81 [41:41<3:32:43, 202.59s/it]"
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+    },
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+     "name": "stderr",
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+     "output_type": "stream",
+     "text": [
+      "\r",
+      " 23%|████████████████████▍                                                                  | 19/81 [43:11<2:54:28, 168.84s/it]"
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+    {
+     "name": "stderr",
+     "output_type": "stream",
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+      "\u001b[A"
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+     "output_type": "stream",
+     "text": [
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+      " 25%|█████████████████████▍                                                                 | 20/81 [44:08<2:17:27, 135.20s/it]"
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+    {
+     "name": "stderr",
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+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      " 26%|██████████████████████▌                                                                | 21/81 [45:18<1:55:36, 115.61s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\u001b[A"
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+     "output_type": "stream",
+     "text": [
+      "\r",
+      " 27%|███████████████████████▋                                                               | 22/81 [51:03<3:01:24, 184.48s/it]"
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+     "name": "stderr",
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+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      " 28%|████████████████████████▋                                                              | 23/81 [52:12<2:24:42, 149.70s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
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+      "\u001b[A"
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+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      " 30%|█████████████████████████▊                                                             | 24/81 [59:14<3:39:53, 231.47s/it]"
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+    {
+     "name": "stderr",
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+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      " 31%|██████████████████████████▏                                                          | 25/81 [1:04:45<4:03:46, 261.19s/it]"
+     ]
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+    {
+     "name": "stderr",
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+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      " 32%|███████████████████████████▎                                                         | 26/81 [1:05:56<3:07:11, 204.21s/it]"
+     ]
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+    {
+     "name": "stderr",
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+      "\u001b[A"
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+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      " 33%|████████████████████████████▎                                                        | 27/81 [1:10:23<3:20:47, 223.11s/it]"
+     ]
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+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      " 35%|█████████████████████████████▍                                                       | 28/81 [1:11:26<2:34:31, 174.94s/it]"
+     ]
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+    {
+     "name": "stderr",
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+     "name": "stderr",
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+      "\r",
+      " 36%|██████████████████████████████▍                                                      | 29/81 [1:12:41<2:05:49, 145.18s/it]"
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+    {
+     "name": "stderr",
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+      "\r",
+      " 37%|███████████████████████████████▍                                                     | 30/81 [1:13:45<1:42:32, 120.65s/it]"
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+      "\r",
+      " 38%|████████████████████████████████▌                                                    | 31/81 [1:14:58<1:28:36, 106.33s/it]"
+     ]
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+     "name": "stderr",
+     "output_type": "stream",
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+      "\r",
+      " 40%|█████████████████████████████████▉                                                    | 32/81 [1:16:05<1:17:23, 94.77s/it]"
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+     "name": "stderr",
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+     ]
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+     ]
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+      "100%|███████████████████████████████████████████████████████████████████████████████████████| 1/1 [3:49:47<00:00, 13787.62s/it]"
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+      "\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      "  0%|                                                                                                    | 0/1 [00:00<?, ?it/s]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      "100%|████████████████████████████████████████████████████████████████████████████████████████████| 1/1 [00:02<00:00,  2.42s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
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+      "\r",
+      "100%|████████████████████████████████████████████████████████████████████████████████████████████| 1/1 [00:02<00:00,  2.42s/it]"
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+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "zmin=zmin(default)*0.250=2.500E-02 -> output_filename='2024-08-29_caustique-bands/caustique_zmin_modul_0.250_1b6360ce.png'\n"
+     ]
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+      "  0%|                                                                                                   | 0/81 [00:00<?, ?it/s]"
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+      "  4%|███▏                                                                                   | 3/81 [25:45<12:11:18, 562.55s/it]"
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+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      "  0%|                                                                                                    | 0/1 [00:00<?, ?it/s]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      "100%|████████████████████████████████████████████████████████████████████████████████████████████| 1/1 [00:02<00:00,  2.51s/it]"
+     ]
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+     "name": "stderr",
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+      "100%|████████████████████████████████████████████████████████████████████████████████████████████| 1/1 [00:02<00:00,  2.51s/it]"
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+      "zmin=zmin(default)*0.397=3.969E-02 -> output_filename='2024-08-29_caustique-bands/caustique_zmin_modul_0.397_e554a286.png'\n"
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+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      "100%|████████████████████████████████████████████████████████████████████████████████████████████| 1/1 [00:05<00:00,  5.94s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      "100%|████████████████████████████████████████████████████████████████████████████████████████████| 1/1 [00:05<00:00,  5.94s/it]"
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+     "text": [
+      "\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "zmin=zmin(default)*0.630=6.300E-02 -> output_filename='2024-08-29_caustique-bands/caustique_zmin_modul_0.630_423d1a71.png'\n"
+     ]
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+     "name": "stderr",
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+      "  0%|                                                                                                    | 0/1 [00:00<?, ?it/s]"
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+      "  2%|██▏                                                                                      | 2/81 [03:09<2:10:33, 99.16s/it]"
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+      "  4%|███▎                                                                                    | 3/81 [05:29<2:33:07, 117.79s/it]"
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+      "100%|███████████████████████████████████████████████████████████████████████████████████████| 1/1 [3:07:14<00:00, 11234.79s/it]"
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+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      "  0%|                                                                                                    | 0/1 [00:00<?, ?it/s]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      "100%|████████████████████████████████████████████████████████████████████████████████████████████| 1/1 [00:06<00:00,  6.22s/it]"
+     ]
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+     "name": "stderr",
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+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "zmin=zmin(default)*1.000=1.000E-01 -> output_filename='2024-08-29_caustique-bands/caustique_zmin_modul_1.000_df5cb709.png'\n"
+     ]
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+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      "  0%|                                                                                                    | 0/1 [00:00<?, ?it/s]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      "100%|████████████████████████████████████████████████████████████████████████████████████████████| 1/1 [00:02<00:00,  2.82s/it]"
+     ]
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+     "name": "stderr",
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+      "\r",
+      "100%|████████████████████████████████████████████████████████████████████████████████████████████| 1/1 [00:02<00:00,  2.82s/it]"
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+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "zmin=zmin(default)*1.587=1.587E-01 -> output_filename='2024-08-29_caustique-bands/caustique_zmin_modul_1.587_17261ce8.png'\n"
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+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      "  0%|                                                                                                    | 0/1 [00:00<?, ?it/s]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      "100%|████████████████████████████████████████████████████████████████████████████████████████████| 1/1 [00:04<00:00,  4.67s/it]"
+     ]
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+     "name": "stderr",
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+      "100%|████████████████████████████████████████████████████████████████████████████████████████████| 1/1 [00:04<00:00,  4.67s/it]"
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+     "name": "stdout",
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+      "zmin=zmin(default)*2.520=2.520E-01 -> output_filename='2024-08-29_caustique-bands/caustique_zmin_modul_2.520_36517417.png'\n"
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+      " 95%|██████████████████████████████████████████████████████████████████████████████████▋    | 77/81 [6:45:39<33:05, 496.42s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\u001b[A"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      " 96%|███████████████████████████████████████████████████████████████████████████████████▊   | 78/81 [6:46:49<18:25, 368.36s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\u001b[A"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      " 98%|████████████████████████████████████████████████████████████████████████████████████▊  | 79/81 [6:48:00<09:18, 279.20s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\u001b[A"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      " 99%|█████████████████████████████████████████████████████████████████████████████████████▉ | 80/81 [6:49:11<03:36, 216.91s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\u001b[A"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      "100%|███████████████████████████████████████████████████████████████████████████████████████| 81/81 [7:06:33<00:00, 464.35s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\u001b[A"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      "100%|███████████████████████████████████████████████████████████████████████████████████████| 81/81 [7:06:33<00:00, 315.97s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\n",
+      "\r",
+      "100%|███████████████████████████████████████████████████████████████████████████████████████| 1/1 [7:06:33<00:00, 25593.58s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      "100%|███████████████████████████████████████████████████████████████████████████████████████| 1/1 [7:06:33<00:00, 25593.58s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      "  0%|                                                                                                    | 0/1 [00:00<?, ?it/s]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      "100%|████████████████████████████████████████████████████████████████████████████████████████████| 1/1 [00:02<00:00,  2.84s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\r",
+      "100%|████████████████████████████████████████████████████████████████████████████████████████████| 1/1 [00:02<00:00,  2.84s/it]"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "zmin=zmin(default)*4.000=4.000E-01 -> output_filename='2024-08-29_caustique-bands/caustique_zmin_modul_4.000_1ff55d14.png'\n"
+     ]
+    }
+   ],
    "source": [
     "for variable in ['scale', 'B_sf', 'theta',  'B_theta', 'gamma', 'min_lum', 'zmin']: #  'V_Y', 'V_X', 'B_V', \n",
     "    print(f'======{variable}======')\n",