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Proceedings Paper

Initial design with L2 Monge-Kantorovich theory for the Monge–Ampère equation method of freeform optics
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Paper Abstract

The Monge–Ampère (MA) equation arising in illumination design is highly nonlinear so that the convergence of the MA method is strongly determined by the initial design. We address the initial design of the MA method in this paper with the L2 Monge-Kantorovich (LMK) theory, and introduce an efficient approach for finding the optimal mapping of the LMK problem. Three examples, including the beam shaping of collimated beam and point light source, are given to illustrate the potential benefits of the LMK theory in the initial design. The results show the MA method converges more stably and faster with the application of the LMK theory in the initial design.

Paper Details

Date Published: 17 December 2014
PDF: 9 pages
Proc. SPIE 9293, International Optical Design Conference 2014, 92930M (17 December 2014); doi: 10.1117/12.2072370
Show Author Affiliations
Rengmao Wu, Univ. Politécnica de Madrid (Spain)
Yaqin Zhang, Zhejiang Univ. (China)
Pablo Benítez, Univ. Politécnica de Madrid (Spain)
Juan C. Miñano, Univ. Politécnica de Madrid (Spain)

Published in SPIE Proceedings Vol. 9293:
International Optical Design Conference 2014
Mariana Figueiro; Scott Lerner; Julius Muschaweck; John Rogers, Editor(s)

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