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Proceedings Paper

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

Paper Details

Date Published: 17 December 2014
PDF: 6 pages
Proc. SPIE 9293, International Optical Design Conference 2014, 92930R (17 December 2014); doi: 10.1117/12.2073350
Show Author Affiliations
Yaqin Zhang, Zhejiang Univ. (China)
Rengmao Wu, Univ. Politécnica de Madrid (Spain)
Zhenrong Zheng, Zhejiang Univ. (China)
Haifeng Li, Zhejiang Univ. (China)
Xu Liu, Zhejiang Univ. (China)


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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