Volume 54, Issue 2
Light Refraction is Nonlinear Optimisation

Jiakun Liu & Xu-Jia Wang

J. Math. Study, 54 (2021), pp. 142-163.

Published online: 2021-02

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  • Abstract

In this paper, we show that the near field light refraction can be formulated

as a nonlinear optimisation problem, both for a point light source and for a parallel light source.

  • Keywords

Refraction, nonlinear optimisation, Monge-Ampère equation.

  • AMS Subject Headings

35J60, 78A05, 90C30, 49N45

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

jiakunl@uow.edu.au (Jiakun Liu)

Xu-Jia.Wang@anu.edu.au (Xu-Jia Wang)

  • BibTex
  • RIS
  • TXT
@Article{JMS-54-142, author = {Liu , Jiakun and Wang , Xu-Jia}, title = {Light Refraction is Nonlinear Optimisation}, journal = {Journal of Mathematical Study}, year = {2021}, volume = {54}, number = {2}, pages = {142--163}, abstract = {

In this paper, we show that the near field light refraction can be formulated

as a nonlinear optimisation problem, both for a point light source and for a parallel light source.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v54n2.21.02}, url = {http://global-sci.org/intro/article_detail/jms/18613.html} }
TY - JOUR T1 - Light Refraction is Nonlinear Optimisation AU - Liu , Jiakun AU - Wang , Xu-Jia JO - Journal of Mathematical Study VL - 2 SP - 142 EP - 163 PY - 2021 DA - 2021/02 SN - 54 DO - http://doi.org/10.4208/jms.v54n2.21.02 UR - https://global-sci.org/intro/article_detail/jms/18613.html KW - Refraction, nonlinear optimisation, Monge-Ampère equation. AB -

In this paper, we show that the near field light refraction can be formulated

as a nonlinear optimisation problem, both for a point light source and for a parallel light source.

JiakunLiu & Xu-JiaWang. (2021). Light Refraction is Nonlinear Optimisation. Journal of Mathematical Study. 54 (2). 142-163. doi:10.4208/jms.v54n2.21.02
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