Optical Design of Two-reflector Systems, the Monge-Kantorovich Mass Transfer Problem and Fermat’s Principle
Monge-Kantorovich, Fermat's principle, reflectors, PDE’s of Monge-Ampere type, measure preserving maps
It is shown that the problem of designing a two-reflector system transforming a plane wave front with given intensity into an output plane front with prescribed output intensity can be formulated and solved as the Monge-Kantorovich mass transfer problem.
Indiana University Mathematics Journal
Required Publisher's Statement
"Optical design of two-reflector systems, the Monge-Kantorovich mass transfer problem and Fermat's principle," (with V. Oliker), Indiana University Mathematics Journal. J. 53, 1255-1278 (2004).
Glimm, Tilmann and Oliker, Vladimir, "Optical Design of Two-reflector Systems, the Monge-Kantorovich Mass Transfer Problem and Fermat’s Principle" (2004). Mathematics Faculty Publications. 58.
Subjects - Topical (LCSH)
Geometrical optics; Fermat's theorem; Reflectors, Lighting--Mathematical models; Mappings (Mathematics)
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