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Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Alan E. Willner
  • Vol. 38, Iss. 2 — Jan. 15, 2013
  • pp: 229–231

Freeform illumination design: a nonlinear boundary problem for the elliptic Monge–Ampére equation

Rengmao Wu, Liang Xu, Peng Liu, Yaqin Zhang, Zhenrong Zheng, Haifeng Li, and Xu Liu  »View Author Affiliations


Optics Letters, Vol. 38, Issue 2, pp. 229-231 (2013)
http://dx.doi.org/10.1364/OL.38.000229


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Abstract

We propose an approach to deal with the problem of freeform surface illumination design without assuming any symmetry based on the concept that this problem is similar to the problem of optimal mass transport. With this approach, the freeform design is converted into a nonlinear boundary problem for the elliptic Monge–Ampére equation. The theory and numerical method are given for solving this boundary problem. Experimental results show the feasibility of this approach in tackling this freeform design problem.

© 2013 Optical Society of America

OCIS Codes
(220.1250) Optical design and fabrication : Aspherics
(220.2740) Optical design and fabrication : Geometric optical design
(220.2945) Optical design and fabrication : Illumination design

ToC Category:
Optical Design and Fabrication

History
Original Manuscript: November 12, 2012
Revised Manuscript: December 13, 2012
Manuscript Accepted: December 19, 2012
Published: January 14, 2013

Citation
Rengmao Wu, Liang Xu, Peng Liu, Yaqin Zhang, Zhenrong Zheng, Haifeng Li, and Xu Liu, "Freeform illumination design: a nonlinear boundary problem for the elliptic Monge–Ampére equation," Opt. Lett. 38, 229-231 (2013)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-38-2-229


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