On the Numerical Solution of the Near Field Refractor Problem

Abstract

A numerical scheme is presented to solve the one source near field refractor problem to arbitrary precision and it is proved that the scheme terminates in a finite number of iterations. The convergence of the algorithm depends upon proving appropriate Lipschitz estimates for the refractor measure. The algorithm is presented in general terms and has independent interest.

arXiv comment23 pages, 1 figure, a reference was corrected