On optical surface reconstruction from a prescribed source-target mapping
L.L. Doskolovich, E.S. Andreev, M.A. Moiseev

 

Image Processing Systems Institute оf RAS,– Branch of the FSRC “Crystallography and Photonics” RAS, Samara, Russia
Samara National Research University, Samara, Russia

Full text of article: Russian language.

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Abstract:
A new optical surface reconstruction technique in the source-target mapping method is proposed. The technique is based on the representation of the surface as an envelope of a parametric family of paraboloids (ellipsoids). Using such a representation, the calculation of the optical surface is reduced to solving a complete differential equation without regard for the coordinate system. By way of illustration, mirrors that generate uniform intensity distributions in a square region are designed. Simulation of the design examples shows high performance of the proposed technique: it allows us to obtain good-quality intensity distributions even with violation of the integrability condition.

Keywords:
geometrical optics, source-target map, surface reconstruction, mirror, intensity distribution.

Citation:
Doskolovich LL, Andreev ES, Moiseev MA. On optical surface reconstruction from a prescribed source-target mapping. Computer Optics 2016; 40(3): 338-345. DOI: 10.18287/2412-6179-2016-40-3-338-345.

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