From 215620db15200b06787a6dd449c92142c1a2bcf9 Mon Sep 17 00:00:00 2001 From: John Franklin Crenshaw <41785729+jfcrenshaw@users.noreply.github.com> Date: Fri, 15 Mar 2024 07:57:06 -0700 Subject: [PATCH] Update README.md Added description of how PSF FWHM scales with airmass for extended sources. --- README.md | 1 + 1 file changed, 1 insertion(+) diff --git a/README.md b/README.md index 951a4fa..cc17f55 100644 --- a/README.md +++ b/README.md @@ -187,6 +187,7 @@ NSR_\text{pt} \sqrt{\frac{A_\text{ap}}{A_\text{psf}}}, $$ where $A_\text{ap}$ is the area of the source aperture, and $A_\text{psf}$ is the area of the PSF. +Note the PSF FWHM is assumed to scale like $\text{airmass}^{0.6}$. We set the proportionality constant to unity, so that when $A_\text{ap} \to A_\text{psf}$, we recover the error for a point source. We include two different models for calculating the aperture area. The "auto" method from [van den Busch (2020)](http://arxiv.org/abs/2007.01846) calculates the semi-major and -minor axes of the aperture ( $a_\text{ap}$ and $b_\text{ap}$) from the semi-major and -minor axes of the galaxy ( $a_\text{gal}$ and $b_\text{gal}$, corresponding to half-light radii):