On the reflector shape design

Karakhanyan, Aram; Wang, Xu-Jia

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On the reflector shape design

Date

2010

Authors

Karakhanyan, Aram

Wang, Xu-Jia

Publisher

Lehigh University

Abstract

In this paper we study the problem of recovering the reflecting surface in a reflector system which consists of a point light source, a reflecting surface, and an object to be illuminated. This problem involves a fully nonlinear partial differential equation of Monge-Ampère type, subject to a nonlinear second boundary condition. A weak solution can be obtained by approximation by piecewise ellipsoidal surfaces. The regularity is a very complicated issue but we found precise conditions for it.

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http://hdl.handle.net/1885/34682

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Open Access Research

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Journal of Differential Geometry

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Journal article

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2037-12-31

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On the reflector shape design

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