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  • Received: Apr. 8, 2020

    Accepted: May. 16, 2020

    Posted: Aug. 12, 2020

    Published Online: Aug. 12, 2020

    The Author Email: Wang Yongtian (

    DOI: 10.29026/oea.2020.200010

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

Iterative freeform lens design for prescribed irradiance on curved target

Zexin Feng1,2, Dewen Cheng1,2, and Yongtian Wang1,2,*

Author Affiliations

  • 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


Current freeform illumination optical designs are mostly focused on producing prescribed irradiance distributions on planar targets. Here, we aim to design freeform optics that could generate a desired illumination on a curved target from a point source, which is still a challenge. We reduce the difficulties that arise from the curved target by involving its varying z-coordinates in the iterative wavefront tailoring (IWT) procedure. The new IWT-based method is developed under the stereographic coordinate system with a special mesh transformation of the source domain, which is suitable for light sources with light emissions in semi space such as LED sources. The first example demonstrates that a rectangular flat-top illumination can be generated on an undulating surface by a spherical-freeform lens for a Lambertian source. The second example shows that our method is also applicable for producing a non-uniform irradiance distribution in a circular region of the undulating surface.


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