Glimm, Tilmann; Oliker, Vladimir Optical design of two-reflector systems, the Monge-Kantorovich mass transfer problem and Fermat’s principle. (English) Zbl 1129.49309 Indiana Univ. Math. J. 53, No. 5, 1255-1277 (2004). Summary: 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. Cited in 15 Documents MSC: 49Q20 Variational problems in a geometric measure-theoretic setting 35A15 Variational methods applied to PDEs 35Q15 Riemann-Hilbert problems in context of PDEs 35Q60 PDEs in connection with optics and electromagnetic theory 78A05 Geometric optics 90C48 Programming in abstract spaces PDF BibTeX XML Cite \textit{T. Glimm} and \textit{V. Oliker}, Indiana Univ. Math. J. 53, No. 5, 1255--1277 (2004; Zbl 1129.49309) Full Text: DOI arXiv OpenURL