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coauthor: @andreasfilipp
We are fixing the math of the multiplane class based on Fleury et al. (2022). Doing this, we realize that lenstronomy must be wrong. The multiplane equation is actually much simpler than we thought. It's just recursively applying the single thin lens equation, while updating the coordinate.
All the normalization quantities, like$\Sigma_{\mathrm{crit}}$ , are computed by taking the next plane as the source plane. This is how the math stays internally consistent.
Also fixed the Shapiro time delay units, from days * arcsec^2 to days. A conversion factor was missing.
This PR also attempts to fix the circular logic in the
ThinPlane
class by forcing inherited class to implement thereduced_deflection_angle
method. Thephysical_deflection_angle
method is then just a wrapper on the previous one. See Issue #242.