Simultaneous control on the intensity and phase profile of laser beam with Monge-Ampère equation method

Yaqin Zhang; Rengmao Wu; Zhenrong Zheng; Haifeng Li; Xu Liu

doi:10.1117/12.2073350

17 December 2014 Simultaneous control on the intensity and phase profile of laser beam with Monge-Ampère equation method

Yaqin Zhang, Rengmao Wu, Zhenrong Zheng, Haifeng Li, Xu Liu

Author Affiliations +

Proceedings Volume 9293, International Optical Design Conference 2014; 92930R (2014) https://doi.org/10.1117/12.2073350
Event: International Optical Design Conference, 2014, Kohala Coast, Hawaii, United States

Abstract

Laser beam shaping requires controlling the intensity and phase profile of the input laser beam simultaneously. In this paper, a method for designing double freeform surfaces is presented to solve the laser beam shaping problem. Based on Snell’s law and conservation law of energy, a mathematical model is established to convert the double surfaces design problem into an elliptic Monge-Ampère equation with a nonlinear boundary problem by imposing a constraint on the optical path length between the input and output wavefronts. Two different configurations of the beam shaping system are discussed and the good results show clearly the Monge–Ampère equation method provides an effective tool in solving the challenging problem of laser beam shaping.

Citation Download Citation

Yaqin Zhang, Rengmao Wu, Zhenrong Zheng, Haifeng Li, and Xu Liu "Simultaneous control on the intensity and phase profile of laser beam with Monge-Ampère equation method", Proc. SPIE 9293, International Optical Design Conference 2014, 92930R (17 December 2014); https://doi.org/10.1117/12.2073350

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