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-Ampère 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.
CITATION STYLE
Yadav, N. K., ten Thije Boonkkamp, J. H. M., & IJzerman, W. L. (2019). A least-squares method for a Monge-Ampère equation with non-quadratic cost function applied to optical design. In Lecture Notes in Computational Science and Engineering (Vol. 126, pp. 301–309). Springer Verlag. https://doi.org/10.1007/978-3-319-96415-7_26
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