Spherical-freeform lens design for uniform illumination based on differentiable ray tracing with uv polynomials

Haoran Li; Haisong Tang; Zexin Feng; Yi Luo; Yongtian Wang

doi:10.1117/12.2687294

28 November 2023 Spherical-freeform lens design for uniform illumination based on differentiable ray tracing with uv polynomials

Haoran Li, Haisong Tang, Zexin Feng, Yi Luo, Yongtian Wang

Author Affiliations +

Proceedings Volume 12765, Optical Design and Testing XIII; 127650H (2023) https://doi.org/10.1117/12.2687294
Event: SPIE/COS Photonics Asia, 2023, Beijing, China

Abstract

We previously optimized the freeform surfaces using extended polynomials in stereographic projection coordinates based on an automated workflow linking the optimization engine, 3D modeling software and ray tracing software [Optics Express 29(9), 13469–13485 (2021)]. However, this method is time consuming as it needs thousands of irradiance evaluations. Here, we speed up the optimization of spherical-freeform lenses for uniform illumination based on differentiable ray tracing. The freeform surface is still parameterized with the ‘uv’ extended polynomials under stereographic projection coordinates, which is suitable for generating simple illumination patterns. We implement differentiable ray tracing based on computation graph in MindSpore framework, which is efficient and effective by calculating derivatives of the surface parameters during a single backpropagation. We provide two design examples for generating uniform irradiance distributions with a point-like source and an extended light source, respectively.

(2023) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Haoran Li, Haisong Tang, Zexin Feng, Yi Luo, and Yongtian Wang "Spherical-freeform lens design for uniform illumination based on differentiable ray tracing with uv polynomials", Proc. SPIE 12765, Optical Design and Testing XIII, 127650H (28 November 2023); https://doi.org/10.1117/12.2687294

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KEYWORDS

Optical surfaces

Ray tracing

Light sources and illumination

Lens design

3D projection

Light sources

Design and modelling

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