Ellipsoid Source with Sersic profile

One of the most popular source models is an ellipsoid with sersic profile. In our implementation, this individual sources are defined by two size parameters, $\sigma_1$ and $\sigma_2$, for the minor and major axes of the ellipsoid.

Additionally some parameters are currently hard-coded.

• The Sersic index $n=4$

• Coefficients $b_1 = 1.992$, $b_0 = - 0.3271$

We define

• elliptic ratio $q = \frac{\sigma_2}{\sigma_1}$

• effective radisu $r_e = 10\sigma_1$

• $r = \sqrt{(x/q)^2+y^2}$

• $b = b_0 + b_1\cdot n$

The pixel value is given as