Iterative freeform lens design for prescribed irradiance on curved target

Zexin Feng; Dewen Cheng; Yongtian Wang

doi:10.29026/oea.2020.200010

Opto-Electronic Advances, Volume. 3, Issue 7, 200010-1(2020)

Iterative freeform lens design for prescribed irradiance on curved target

Zexin Feng^1,2, Dewen Cheng^1,2, and Yongtian Wang^1,2、*

¹Beijing Engineering Research Center of Mixed Reality and Advanced Display, School of Optics and Photonics, Beijing Institute of Tech-nology, Beijing, 100081, China

²Beijing Key Laboratory of Advanced Optical Remote Sensing Technology, School of Optics and Photonics, Beijing Institute of Technology, Beijing 100081, China

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References(40)

[1] O Ripoll, V Kettunen, H P Herzig. Review of iterative Fourier-transform algorithms for beam shaping applications. Opt, 43, 2549-2556(2004).

[2] S Keren-Zur, O Avayu, L Michaeli, T Ellenbogen. Nonlinear beam shaping with plasmonic metasurfaces. ACS, 3, 117-123(2016).

[3] G Y Cao, X S Gan, H Lin, B H Jia. An accurate design of graphene oxide ultrathin flat lens based on Rayleigh-Sommerfeld theory. Opto-Electron Adv, 1, 180012(2018).

[4] V D Komissarov, N G Boldyrev. The foundations of calculating specular prismatic fittings. Trudy VEI, 43, 6-61(1941).

[5] J S Schruben. Formulation of a reflector-design problem for a lighting fixture. J Opt Soc Am, 62, 1498-1501(1972).

[6] R M Wu, L Xu, P Liu, Y Q Zhang, Z R Zheng et al. Freeform illumination design: a nonlinear boundary problem for the elliptic Monge-Ampére equation. Opt, 38, 229-231(2013).

[7] H Ries, J Muschaweck. Tailored freeform optical surfaces. J Opt Soc Am A, 19, 590-595(2002).

[8] V Oliker. Mathematical aspects of design of beam shaping surfaces in geometrical optics. In Trends in Nonlinear Analysis, 191-222(2002).

[9] X J Wang. On the design of a reflector antenna Ⅱ. Calc Var Partical Differ Equ, 20, 329-341(2004).

[10] F R Fournier, W J Cassarly, J P Rolland. Fast freeform reflector generation using source-target maps. Opt, 18, 5295-5304(2010).

[11] D Michaelis, P Schreiber, A Bräuer. Cartesian oval representation of freeform optics in illumination systems. Opt, 36, 918-920(2011).

[12] C Canavesi, W J Cassarly, J P Rolland. Target flux estimation by calculating intersections between neighboring conic reflector patches. Opt, 38, 5012-5015(2013).

[13] W A Parkyn. Illumination lenses designed by extrinsic differential geometry. Proc SPIE, 3482, 389-396(1998).

[14] L Wang, K Y Qian, Y Luo. Discontinuous free-form lens design for prescribed irradiance. Appl, 46, 3716-3723(2007).

[15] A Bäuerle, A Bruneton, R Wester, J Stollenwerk, P Loosen. Algorithm for irradiance tailoring using multiple freeform optical surfaces. Opt, 20, 14477-14485(2012).

[16] Y H Yue, K Iwasaki, B Y Chen, Y Dobashi, T Nishita. Poisson-based continuous surface generation for goal-based caustics. ACM Trans Graph, 33, 31(2014).

[17] Y Schwartzburg, R Testuz, A Tagliasacchi, M Pauly. High-contrast computational caustic design. ACM Trans Graph, 33, 74(2014).

[18] D L Ma, Z X Feng, R G Liang. Tailoring freeform illumination optics in a double-pole coordinate system. Appl, 54, 2395-2399(2015).

[19] Z X Feng, B D Froese, R G Liang. Freeform illumination optics construction following an optimal transport map. Appl, 55, 4301-4306(2016).

[20] X L Mao, S B Xu, X R Hu, Y J Xie. Design of a smooth freeform illumination system for a point light source based on polar-type optimal transport mapping. Appl, 56, 6324-6331(2017).

[21] A Bruneton, A Bäuerle, R Wester, J Stollenwerk, P Loosen. Limitations of the ray mapping approach in freeform optics design. Opt, 38, 1945-1947(2013).

[22] R Wester, A Völl, M Berens, J Stollenwerk, P Loosen. Solving the Monge-Ampère equation on triangle-meshes for use in optical freeform design. Proc SPIE, 10693, 1069307(2018).

[23] A Bruneton, A Bäuerle, R Wester, J Stollenwerk, P Loosen. High resolution irradiance tailoring using multiple freeform surfaces. Opt, 21, 10563-10571(2013).

[24] C Bösel, H Gross. Single freeform surface design for prescribed input wavefront and target irradiance. J Opt Soc Am A, 34, 1490-1499(2017).

[25] K Desnijder, P Hanselaer, Y Meuret. Ray mapping method for off-axis and non-paraxial freeform illumination lens design. Opt, 44, 771-774(2019).

[26] L L Doskolovich, D A Bykov, A A Mingazov, E A Bezus. Optimal mass transportation and linear assignment problems in the design of freeform refractive optical elements generating far-field irradiance distributions. Opt, 27, 13083-13097(2019).

[27] D A Bykov, L L Doskolovich, A A Mingazov, E A Bezus, N L Kazanskiy. Linear assignment problem in the design of freeform refractive optical elements generating prescribed irradiance distributions. Opt, 26, 27812-27825(2018).

[28] C R Prins, R Beltman, J H M ten Thije Boonkkamp, W L IJzerman, T W Tukker. A least-squares method for optimal transport using the Monge-Ampère equation. SIAM J Sci Comput, 37, B937-B961(2015).

[29] L B Romijn, J H M ten Thije Boonkkamp, W L IJzerman. Freeform lens design for a point source and far-field target. J Opt Soc Am, 36, 1926-1939(2019).

[30] S L Wei, Z B Zhu, Z C Fan, D L Ma. Least-squares ray mapping method for freeform illumination optics design. Opt, 28, 3811-3822(2020).

[31] Z X Feng, D W Cheng, Y T Wang. Iterative wavefront tailoring to simplify freeform optical design for prescribed irradiance. Opt, 44, 2274-2277(2019).

[32] A Karakhanyan, X J Wang. On the reflector shape design. J Differ Geom, 84, 561-610(2010).

[33] R M Wu, L Yang, Z H Ding, L F Zhao, D D Wang et al. Precise light control in highly tilted geometry by freeform illumination optics. Opt, 44, 2887-2890(2019).

[34] X Sun, L B Kong, M Xu. Uniform illumination for nonplanar surface based on freeform surfaces. IEEE Photonics J, 11, 2200511(2019).

[35] C T Kelley. Solving nonlinear equations with Newton’s method. Society for Industrial and Applied Mathematics(2003).

[36] Y Luo, Z X Feng, Y J Han, H T Li. Design of compact and smooth free-form optical system with uniform illuminance for LED source. Opt, 18, 9055-9063(2010).

[37] Z X Feng, Y Luo, Y J Han. Design of LED freeform optical system for road lighting with high luminance/illuminance ratio. Opt, 18, 22020-22031(2010).

[38] X L Mao, H T Li, Y J Han, Y Luo. Two-step design method for highly compact three-dimensional freeform optical system for LED surface light source. Opt, 22, A1491-A1506(2014).

[39] R Wester, G Müller, A Völl, M Berens, J Stollenwerk et al. Designing optical free-form surfaces for extended sources. Opt, 22, A552-A560(2014).

[40] M Brand, A Aksoylar. Sharp images from freeform optics and extended light sources. Frontiers in Optics(2016).

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Zexin Feng, Dewen Cheng, Yongtian Wang. Iterative freeform lens design for prescribed irradiance on curved target[J]. Opto-Electronic Advances, 2020, 3(7): 200010-1

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Paper Information

Category: Original Article

Received: Apr. 8, 2020

Accepted: May. 16, 2020

Published Online: Aug. 12, 2020

The Author Email: Yongtian Wang (wyt@bit.edu.cn)

DOI:10.29026/oea.2020.200010

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology