Sample Datasets

Hezaveh uses $192\times192$ image size with a pixel size of 0.04" (seconds of arc). This seems to be a reasonable choice to follow.

Proposed Selection Algorithm¶

This is based on a sketch by Ben David March 2026.

1. Choose the Einstein radius uniformly at random, so that $0.1"\le\theta_E\le3.0"$.

   • where $\theta_E=R_E/\chi$, i.e. $R_E$ converted to angular units.

2. Restrict such that $\Delta\beta\le\theta_E$.

   • TODO what is $\Delta\beta$?

3. Choose the source position inside or around the critical curve, For example, choose the polar coordinates $(R,\phi)$

   • so that $R\le c\theta_E$ for some constant $C$, e.g. $c=1.2$.

   • $\phi$ chosen uniformly at random

4. Choose the orientation of the elliptical lens uniformly at random.

5. Choose the orientation of the elliptical source uniformly at random.

6. CHoose the ellipticity $f$ of the lens uniformly at random, so that $0.6\le f\le 0.9$.

7. TODO Source parameters

   • size

   • sersic parameters

Proposal from Oda¶