Point source regularization of the finite source reflector problem

نویسندگان

چکیده

We address the “freeform optics” inverse problem of designing a reflector surface mapping prescribed source distribution light to far-field distribution, for finite source. When reduces point source, has support only on optics ray directions. In this setting, is well-posed arbitrary and target probability distributions. It can be recast as an Optimal Transportation been studied both mathematically numerically. are not aware any similar mathematical formulation in case: i.e. “étendue” with space propose leverage variational build smooth parameterization reflection map. Under parameterization, we construct loss/misfit function optimize best solution class reflectors. Both steps, loss, related distances. also take advantage recent progress numerical approximation resolution these objects perform study.

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ژورنال

عنوان ژورنال: Journal of Computational Physics

سال: 2022

ISSN: ['1090-2716', '0021-9991']

DOI: https://doi.org/10.1016/j.jcp.2022.111032