On the reflector shape design
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|
|Source:||Journal of Differential Geometry|
|01_Karakhanyan_On_the_reflector_shape_d_2010.pdf||350.95 kB||Adobe PDF||Request a copy|
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