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Fix Gaussian Shape docs #209

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Fix Gaussian Shape docs #209

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4044dd3
Fix Gaussian Shape docs
sjperkins Jul 7, 2020
b58669d
[skip ci] Update HISTORY.rst
sjperkins Jul 7, 2020
44f7b87
Document FWHM constants
sjperkins Jul 7, 2020
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5 changes: 5 additions & 0 deletions HISTORY.rst
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Original file line number Diff line number Diff line change
Expand Up @@ -2,6 +2,11 @@
History
=======

X.Y.Z (YYYY-MM-DD)
------------------
* Improve Gaussian Shape Documenation (:pr:`209`)


0.2.5 (2020-07-01)
------------------
* Convert WSClean Gaussian arcsecond and degree quantities to radians (:pr:`206`)
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10 changes: 5 additions & 5 deletions africanus/model/shape/gaussian_shape.py
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Expand Up @@ -60,18 +60,18 @@ def impl(uvw, frequency, shape_params):

.. math::

& \lambda^\prime = 2 \lambda \pi \\
& \nu^\prime = \frac{\nu \pi}{2 c \sqrt{\log{2}}} \\
& r = \frac{e_{min}}{e_{maj}} \\
& u_{1} = (u \, e_{maj} \, cos(\alpha) - v \, e_{maj} \, sin(\alpha))
r \lambda^\prime \\
r \nu^\prime \\
& v_{1} = (u \, e_{maj} \, sin(\alpha) - v \, e_{maj} \, cos(\alpha))
\lambda^\prime \\
& \textrm{shape} = e^{(-u_{1}^2 - v_{1}^2)}
\nu^\prime \\
& \textrm{shape} = e^{(-(u_{1}^2) - (v_{1}^2))}

where:

- :math:`u` and :math:`v` are the UV coordinates and
:math:`\lambda` the frequency.
:math:`\nu` the frequency.
- :math:`e_{maj}` and :math:`e_{min}` are the major and minor axes
and :math:`\alpha` the position angle.

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