On the Numerical Solution of the Far Field Refractor Problem

TL;DR

This paper presents a numerical scheme for solving the far field refractor problem with discrete targets, simplifying previous methods and demonstrating its effectiveness through implementation and examples.

Contribution

It introduces a simplified numerical approach for the far field refractor problem based on ideas from Caffarelli, Kochengin, and Oliker, with practical implementation.

Findings

Numerical scheme successfully solves the far field refractor problem.

Implementation demonstrates the method's effectiveness.

Examples validate the approach's practicality.

Abstract

The far field refractor problem with a discrete target is solved with a numerical scheme that uses and simplify ideas from Caffarelli, Kochengin and Oliker. A numerical implementation is carried out and examples are shown.