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Update README.md
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Added description of how PSF FWHM scales with airmass for extended sources.
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jfcrenshaw committed Mar 15, 2024
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Expand Up @@ -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):
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