Laplacians, Jacobians & Gaussian curvature -  a deep-dive into optical math - prof. Larry N. Thibos
Channel: focusingbeauty
Date: 2021-11-21

See more: https://blogs.iu.edu/corl/2021/11/21/video-lecture-laplacians-jacobians-and-gaussian-curvature-a-deep-dive-into-optical-math-prof-larry-n-thibos/
The lecture is prompted by a request for a deeper understanding of some of the vector algebra that is the foundation of the textbook method. That method is explained for optometric audiences in the attached paper, which will give you a sense of the “flavor” of the topic. Might not suit all tastes, but we must all learn to eat the bitter with the sweet :) The lecture focuses on the geometrical properties of wavefronts that are used to compute the geometrical point-spread function. This is a very different problem from the more familiar Fourier optics calculation of the PSF based on physical optics. The math is actually easier for the geometrical optics method, but requires some familiarity with vector algebra concepts.

– prof. Larry N. Thibos.