@inproceedings{674abddab4a0456d9bf979b7c8b3b39b,
title = "A least-squares method for a Monge-Amp{\`e}re equation with non-quadratic cost function applied to optical design",
abstract = "Freeform optical surfaces can transfer a given light distribution of the source into a desired distribution at the target. Freeform optical design problems can be formulated as a Monge-Amp{\`e}re type differential equation with transport boundary condition, using properties of geometrical optics, conservation of energy, and the theory of optimal mass transport. We present a least-squares method to compute freeform lens surfaces corresponding to a non-quadratic cost function. The numerical algorithm is capable to compute both convex and concave surfaces.",
author = "N.K. Yadav and {ten Thije Boonkkamp}, J.H.M. and W.L. IJzerman",
year = "2019",
month = jan,
day = "1",
doi = "10.1007/978-3-319-96415-7_26",
language = "English",
isbn = "978-3-319-96414-0",
series = "Lecture Notes in Computational Science and Engineering",
publisher = "Springer",
pages = "301--309",
editor = "Radu, {Florin Adrian} and Kundan Kumar and Inga Berre and Nordbotten, {Jan Martin} and Pop, {Iuliu Sorin}",
booktitle = "Numerical Mathematics and Advanced Applications ENUMATH 2017",
address = "Germany",
note = "European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2017 ; Conference date: 25-09-2017 Through 29-09-2017",
}