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Nonlinear PDE and Optical Surfaces Design

We introduce two models to design near field reflectors in R^3 that solve an inverse problem in radiometry, taking into account the inverse square law of irradiance. The problem leads to a Monge-Ampere type inequality. The surfaces in the first model are strictly convex and require to be far from the source to avoid obstruction. In the second model, the reflectors are neither convex nor concave and do not block the rays even if they are close to the source. / Mathematics

Identiferoai:union.ndltd.org:TEMPLE/oai:scholarshare.temple.edu:20.500.12613/3508
Date January 2015
CreatorsSabra, Ahmad
ContributorsGutiƩrrez, Cristian E., 1950-, Mitrea, Irina, Mendoza, Gerardo A., Hicks, R. Andrew
PublisherTemple University. Libraries
Source SetsTemple University
LanguageEnglish
Detected LanguageEnglish
TypeThesis/Dissertation, Text
Format80 pages
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Relationhttp://dx.doi.org/10.34944/dspace/3490, Theses and Dissertations

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