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.

Grantor dc:publisher

Temple University. Libraries

Year dc:date.issued

2015

Author dc:creator

• Sabra, Ahmad

Advisor dc:contributor.advisor

• Gutiérrez, Cristian E., 1950-

Committee members dc:contributor.committeemember

• Mitrea, Irina
• Mendoza, Gerardo A.
• Hicks, R. Andrew

• Mathematics
• Optics
• Geometric optics
• Irradiance
• Monge Ampere
• Reflectors

Statement dc:rights

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Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Language dc:language.iso

eng

Dc Identifier Other

958157472

OAI identifier oai:identifier

oai:scholarshare.temple.edu:20.500.12613/3508