@@ -147,20 +147,13 @@ def get_relative_airmass(zenith, model='kastenyoung1989'):
147147
148148 * 'simple' - secant(apparent zenith angle) -
149149 Note that this gives -Inf at zenith=90
150- * 'kasten1966' - See reference [1] -
151- requires apparent sun zenith
152- * 'youngirvine1967' - See reference [2] -
153- requires true sun zenith
154- * 'kastenyoung1989' (default) - See reference [3] -
155- requires apparent sun zenith
156- * 'gueymard1993' - See reference [4] -
157- requires apparent sun zenith
158- * 'young1994' - See reference [5] -
159- requires true sun zenith
160- * 'pickering2002' - See reference [6] -
161- requires apparent sun zenith
162- * 'gueymard2003' - See references [7] and [8] -
163- requires apparent sun zenith
150+ * 'kasten1966' - See [1]_ - requires apparent sun zenith
151+ * 'youngirvine1967' - See [2]_ - requires true sun zenith
152+ * 'kastenyoung1989' (default) - See [3]_ - requires apparent sun zenith
153+ * 'gueymard1993' - See [4]_, [5]_ - requires apparent sun zenith
154+ * 'young1994' - See [6]_ - requires true sun zenith
155+ * 'pickering2002' - See [7]_ - requires apparent sun zenith
156+ * 'gueymard2003' - See [8]_, [9]_ - requires apparent sun zenith
164157
165158 Returns
166159 -------
@@ -174,41 +167,57 @@ def get_relative_airmass(zenith, model='kastenyoung1989'):
174167 other models use true (not refraction-adjusted) zenith angle. Apparent
175168 zenith angles should be calculated at sea level.
176169
170+ Comparison among several models is reported in [10]_.
171+
177172 References
178173 ----------
179- .. [1] Fritz Kasten. "A New Table and Approximation Formula for the
180- Relative Optical Air Mass". Technical Report 136, Hanover, N.H.:
181- U.S. Army Material Command, CRREL.
174+ .. [1] Fritz Kasten, "A New Table and Approximation Formula for the
175+ Relative Optical Air Mass," CRREL (U.S. Army), Hanover, NH, USA,
176+ Technical Report 136, 1965.
177+ :doi:`11681/5671`
182178
183179 .. [2] A. T. Young and W. M. Irvine, "Multicolor Photoelectric
184- Photometry of the Brighter Planets," The Astronomical Journal, vol.
185- 72, pp. 945-950, 1967.
180+ Photometry of the Brighter Planets. I. Program and Procedure,"
181+ The Astronomical Journal, vol. 72, pp. 945-950, 1967.
182+ :doi:`10.1086/110366`
186183
187- .. [3] Fritz Kasten and Andrew Young. "Revised optical air mass tables
188- and approximation formula". Applied Optics 28:4735-4738
184+ .. [3] Fritz Kasten and Andrew Young, "Revised optical air mass tables
185+ and approximation formula," Applied Optics 28:4735-4738, 1989.
186+ :doi:`10.1364/AO.28.004735`
189187
190188 .. [4] C. Gueymard, "Critical analysis and performance assessment of
191189 clear sky solar irradiance models using theoretical and measured
192190 data," Solar Energy, vol. 51, pp. 121-138, 1993.
191+ :doi:`10.1016/0038-092X(93)90074-X`
192+
193+ .. [5] C. Gueymard, "Development and performance assessment of a clear
194+ sky spectral radiation model,” in Proc. of the 22nd ASES Conference,
195+ Solar ’93, 1993, pp. 433–438.
193196
194- .. [5] A. T. Young, "AIR-MASS AND REFRACTION," Applied Optics, vol. 33,
195- pp. 1108-1110, Feb 1994.
197+ .. [6] A. T. Young, "Air-Mass and Refraction," Applied Optics, vol. 33,
198+ pp. 1108-1110, Feb. 1994.
199+ :doi:`10.1364/AO.33.001108`
196200
197- .. [6] Keith A. Pickering. "The Ancient Star Catalog". DIO 12:1, 20,
201+ .. [7] Keith A. Pickering, "The Southern Limits of the Ancient Star Catalog
202+ and the Commentary of Hipparchos," DIO, vol. 12, pp. 3-27, Sept. 2002.
203+ Available at `DIO <http://dioi.org/jc01.pdf>`_
198204
199- .. [7 ] C. Gueymard, "Direct solar transmittance and irradiance
205+ .. [8 ] C. Gueymard, "Direct solar transmittance and irradiance
200206 predictions with broadband models. Part I: detailed theoretical
201207 performance assessment". Solar Energy, vol 74, pp. 355-379, 2003.
202208 :doi:`10.1016/S0038-092X(03)00195-6`
203209
204- .. [8] C. Gueymard (2019). Clear-Sky Radiation Models and Aerosol Effects.
205- In: Polo, J., Martín-Pomares, L., Sanfilippo, A. (eds) Solar Resources
206- Mapping. Green Energy and Technology. Springer, Cham.
210+ .. [9] C. Gueymard, "Clear-Sky Radiation Models and Aerosol Effects", in
211+ Solar Resources Mapping: Fundamentals and Applications,
212+ Polo, J., Martín-Pomares, L., Sanfilippo, A. (Eds), Cham, CH: Springer,
213+ 2019, pp. 137-182.
207214 :doi:`10.1007/978-3-319-97484-2_5`
208215
209- .. [9 ] Matthew J. Reno, Clifford W. Hansen and Joshua S. Stein, "Global
216+ .. [10 ] Matthew J. Reno, Clifford W. Hansen and Joshua S. Stein, "Global
210217 Horizontal Irradiance Clear Sky Models: Implementation and Analysis"
211- Sandia Report, (2012).
218+ Sandia National Laboratories, Albuquerque, NM, USA, SAND2012-2389, 2012.
219+ :doi:`10.2172/1039404`
220+
212221 '''
213222
214223 # set zenith values greater than 90 to nans
@@ -236,7 +245,7 @@ def get_relative_airmass(zenith, model='kastenyoung1989'):
236245 (np .cos (zenith_rad ) ** 3 +
237246 0.149864 * (np .cos (zenith_rad ) ** 2 ) +
238247 0.0102963 * (np .cos (zenith_rad )) + 0.000303978 ))
239- elif 'gueymard1993' == model :
248+ elif 'gueymard1993' == model : # [4], Eq. 22 and [5], Eq. 3b
240249 am = (1.0 / (np .cos (zenith_rad ) +
241250 0.00176759 * (z )* ((94.37515 - z ) ** - 1.21563 )))
242251 elif 'gueymard2003' == model :
0 commit comments