@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, ENUMATH 2017 ; Conference date: 25-09-2017 Through 29-09-2017",

}