Optimal design of an optical lens
- Cite this article as:
- Friedman, A. & McLeod, B. Arch. Rational Mech. Anal. (1987) 99: 147. doi:10.1007/BF00275875
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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.