Double Freeform Lens Design for Laser Beam Shaping: A Least-Squares Approach

Boonkkamp, J.  H.  M. ten Thije; Yadav, Nitin Kumar; IJzerman, W. L.

doi:10.1007/978-3-030-27550-1_37

Double Freeform Lens Design for Laser Beam Shaping: A Least-Squares Approach

J. H. M. ten Thije Boonkkamp¹⁵,
Nitin Kumar Yadav¹⁵ &
W. L. IJzerman^15,16

Conference paper
First Online: 23 November 2019

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Part of the book series: Mathematics in Industry ((TECMI,volume 30))

Abstract

The location of the surfaces of a double freeform lens, required for laser beam shaping, is governed by a Monge-Ampère type equation. We outline a least-squares solver and demonstrate the performance of the method for an example.

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References

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Prins, C.R., Beltman, R., ten Thije Boonkkamp, J.H.M., IJzerman, W.L., Tukker, T.W.: A least-squares method for optimal transport using the Monge-Ampère equation. SIAM J. Sci. Comput. 37, B937–B961 (2015)
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Ten Thije Boonkkamp, J.H.M., Romijn, L.B., Yadav, N.K., IJzerman, W.L.: Monge-Ampère type equations for freeform illumination optics. In: Proceedings SPIE Optical Systems Design 2018, vol. DL 10693. Illumination Optics V (2018)
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Yadav, N.K., ten Thije Boonkkamp, J.H.M., IJzerman, W.L.: Computation of double freeform optical surfaces using a Monge-Ampère solver: application to beam shaping, CASA-Report 18–03, Eindhoven University of Technology (2018)
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Authors and Affiliations

Eindhoven University of Technology, Eindhoven, The Netherlands
J. H. M. ten Thije Boonkkamp, Nitin Kumar Yadav & W. L. IJzerman
Signify Research, Eindhoven, The Netherlands
W. L. IJzerman

Authors

J. H. M. ten Thije Boonkkamp
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Nitin Kumar Yadav
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W. L. IJzerman
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Corresponding author

Correspondence to J. H. M. ten Thije Boonkkamp .

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Editors and Affiliations

Department of Applied Analysis and Computational Mathematics & ELTE-MTA Numnet Research Group, Eötvös Loránd University, Budapest, Hungary; Department of Differential Equations Mathematical Institute, Budapest University of Technology and Economics, Budapest, Hungary
István Faragó
Department of Applied Analysis and Computational Mathematics & ELTE-MTA Numnet Research Group, Eötvös Loránd University, Budapest, Hungary
Ferenc Izsák
Department of Applied Analysis and Computational Mathematics & ELTE-MTA Numnet Research Group, Eötvös Loránd University, Budapest, Hungary
Péter L. Simon

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Boonkkamp, J. . .t.T., Yadav, N.K., IJzerman, W.L. (2019). Double Freeform Lens Design for Laser Beam Shaping: A Least-Squares Approach. In: Faragó, I., Izsák, F., Simon, P. (eds) Progress in Industrial Mathematics at ECMI 2018. Mathematics in Industry(), vol 30. Springer, Cham. https://doi.org/10.1007/978-3-030-27550-1_37

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DOI: https://doi.org/10.1007/978-3-030-27550-1_37
Published: 23 November 2019
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-27549-5
Online ISBN: 978-3-030-27550-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

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