Observations on the linear programming formulation of the single reflector design problem

被引：23

作者：

Canavesi, Cristina ^{[1
]}

Cassarly, William J. ^{[2
]}

Rolland, Jannick P. ^{[1
]}

机构：

[1] Univ Rochester, Inst Opt, 275 Hutchison Rd, Rochester, NY 14627 USA

[2] Synopsys Inc, Wooster, OH 44691 USA

来源：

OPTICS EXPRESS | 2012年 / 20卷 / 04期

基金：

美国国家科学基金会;

关键词：

Reflection;

D O I：

10.1364/OE.20.004050

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We implemented the linear programming approach proposed by Oliker and by Wang to solve the single reflector problem for a point source and a far-field target. The algorithm was shown to produce solutions that aim the input rays at the intersections between neighboring reflectors. This feature makes it possible to obtain the same reflector with a low number of rays - of the order of the number of targets - as with a high number of rays, greatly reducing the computation complexity of the problem. (C) 2012 Optical Society of America

引用

页码：4050 / 4055

页数：6

共 12 条

[1]

CAFFARELLI L. A., 1999, Contemporary Mathematics, V226, P13, DOI 10.1090/conm/226/03233

[2]

Elmer WilliamB., 1980, OPTICAL DESIGN REFLE, VSecond

[3]

Fournier F. R., 2009, P SOC PHOTO-OPT INS, V7423

[4] Fast freeform reflector generation using source-target maps [J].

Fournier, Florian R. ;

Cassarly, William J. ;

Rolland, Jannick P. .

OPTICS EXPRESS, 2010, 18 (05) :5295-5304

[5]

Glimm T., 2003, Journal of Mathematical Sciences, V117, P4096

[6] Incoherent beam shaping with freeform mirror [J].

Michaelis, Dirk ;

Kudaev, Sergey ;

Steinkopf, Ralf ;

Gebhardt, Andreas ;

Schreiber, Peter ;

Braeuer, Andreas .

NONIMAGING OPTICS AND EFFICIENT ILLUMINATION SYSTEMS V, 2008, 7059

[7]

Oliker V, 2003, TRENDS IN NONLINEAR ANALYSIS, P193

[8]

Oliker Vladimir, 2005, Proceedings of the SPIE - The International Society for Optical Engineering, V5942, P594207, DOI 10.1117/12.615973

[9] Illumination lenses designed by extrinsic differential geometry [J].

Parkyn, WA .

INTERNATIONAL OPTICAL DESIGN CONFERENCE 1998, 1998, 3482 :389-396

[10] Tailored freeform optical surfaces [J].

Ries, H ;

Muschaweck, J .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2002, 19 (03) :590-595

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