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The near field refractor

Gutiérrez, CE
; 
Huang, Q
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Journal Article
Date
2014-01-01
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math.AP
 math.AP
 physics.optics
 78A05, 35Q60, 52B12, 47H04
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http://hdl.handle.net/20.500.12613/5900
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1307.5709v1.pdf
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DOI
10.1016/j.anihpc.2013.07.001
Abstract
We present an abstract method in the setting of compact metric spaces which is applied to solve a number of problems in geometric optics. In particular, we solve the one source near field refraction problem. That is, we construct surfaces separating two homogeneous media with different refractive indices that refract radiation emanating from the origin into a target domain contained in an n-1 dimensional hypersurface. The input and output energy are prescribed. This implies the existence of lenses focusing radiation in a prescribed manner. © 2013 Elsevier Masson SAS. All rights reserved.
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Elsevier BV
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Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire
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