Document Type
Article
Publication Date
2004
Keywords
Monge-Kantorovich, Fermat's principle, reflectors, PDE’s of Monge-Ampere type, measure preserving maps
Abstract
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.
Publication Title
Indiana University Mathematics Journal
Volume
53
Issue
5
First Page
1255
Last Page
1277
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).
Recommended Citation
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.
https://cedar.wwu.edu/math_facpubs/58
Subjects - Topical (LCSH)
Geometrical optics; Fermat's theorem; Reflectors, Lighting--Mathematical models; Mappings (Mathematics)
Genre/Form
articles
Type
Text
Rights
Copying of this document in whole or in part is allowable only for scholarly purposes. It is understood, however, that any copying or publication of this document for commercial purposes, or for financial gain, shall not be allowed without the author’s written permission.
Language
English
Format
application/pdf
