Archive for Rational Mechanics and Analysis

, Volume 99, Issue 2, pp 147–164

Optimal design of an optical lens

  • Avner Friedman
  • Bryce McLeod
Article

DOI: 10.1007/BF00275875

Cite this article as:
Friedman, A. & McLeod, B. Arch. Rational Mech. Anal. (1987) 99: 147. doi:10.1007/BF00275875

Abstract

We wish to construct an optimal optical lens, in the sense that it focuses all rays from a given source onto a given focal point. The construction can be reduced mathematically to a global study of a system of two nonlinear functional differential equations. We prove that this system has precisely two analytic solutions.

Copyright information

© Springer-Verlag GmbH & Co. KG 1987

Authors and Affiliations

  • Avner Friedman
    • 1
    • 2
  • Bryce McLeod
    • 1
    • 2
  1. 1.Institute for Mathematics and its ApplicationsUniversity of MinnesotaMinneapolis
  2. 2.Oxford UniversityOxfordEngland

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