On the reflector shape design
Karakhanyan, Aram ; Wang, Xu-Jia
J. Differential Geom., Tome 84 (2010) no. 1, p. 561-610 / Harvested from Project Euclid
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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.
Publié le : 2010-03-15
Classification:  
@article{1279114301,
     author = {Karakhanyan, Aram and Wang, Xu-Jia},
     title = {On the reflector shape design},
     journal = {J. Differential Geom.},
     volume = {84},
     number = {1},
     year = {2010},
     pages = { 561-610},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1279114301}
}

Karakhanyan, Aram; Wang, Xu-Jia. On the reflector shape design. J. Differential Geom., Tome 84 (2010) no. 1, pp.  561-610. http://gdmltest.u-ga.fr/item/1279114301/