Initial design with L2 Monge-Kantorovich theory for the Monge-Ampere equation method in freeform surface illumination design

被引：43

作者：

Wu, Rengmao ^{[1
]}

Zhang, Yaqin ^{[2
]}

Sulman, Mohamed M. ^{[3
]}

Zheng, Zhenrong ^{[2
]}

Benitez, Pablo ^{[1
]}

Minano, Juan C. ^{[1
]}

机构：

[1] Univ Politecn Madrid, Madrid 28223, Spain

[2] Zhejiang Univ, Dept Opt Engn, State Key Lab Modern Opt Instrumentat, Hangzhou 310027, Zhejiang, Peoples R China

[3] Wright State Univ, Dept Math & Stat, Dayton, OH 45435 USA

来源：

OPTICS EXPRESS | 2014年 / 22卷 / 13期

关键词：

OPTIMIZATION; IRRADIANCE; TRANSPORT; LENS;

D O I：

10.1364/OE.22.016161

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

The Monge-Ampere (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 L-2 Monge-Kantorovich (LMK) theory. An efficient approach is proposed to find the optimal mapping of the LMK problem. The characteristics of the new approach are introduced and the limitations of the LMK theory in illumination design are presented. 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. (C) 2014 Optical Society of America

引用

页码：16161 / 16177

页数：17

共 23 条

[1] Simultaneous multiple surface optical design method in three dimensions [J].