Article
Optical Design of Two-reflector Systems, the Monge-Kantorovich Mass Transfer Problem and Fermat’s Principle
Indiana University Mathematics Journal
Document Type
Article
Publication Date
1-1-2004
Keywords
- Monge-Kantorovich,
- Fermat's principle,
- reflectors,
- PDE’s of Monge-Ampere type,
- measure preserving maps
Disciplines
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.
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
Citation Information
Tilmann Glimm and Vladimir Oliker. "Optical Design of Two-reflector Systems, the Monge-Kantorovich Mass Transfer Problem and Fermat’s Principle" Indiana University Mathematics Journal Vol. 53 Iss. 5 (2004) p. 1255 - 1277 Available at: http://works.bepress.com/tilmann_glimm/7/