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Light reflection is nonlinear optimization

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In this paper, we show that the near field reflector problem is a nonlinear optimization problem. From the corresponding functional and constraint function, we derive the Monge–Ampère type equation for such a problem.

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Correspondence to Jiakun Liu.

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Communicated by A. Chang.

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Liu, J. Light reflection is nonlinear optimization. Calc. Var. 46, 861–878 (2013).

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Mathematics Subject Classification (2000)