On the reflector shape design
Karakhanyan, Aram; Wang, Xu-Jia
Description
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.
Collections | ANU Research Publications |
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Date published: | 2010 |
Type: | Journal article |
URI: | http://hdl.handle.net/1885/34682 |
Source: | Journal of Differential Geometry |
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File | Description | Size | Format | Image |
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01_Karakhanyan_On_the_reflector_shape_d_2010.pdf | 350.95 kB | Adobe PDF | Request a copy |
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