Discontinuous free-form lens design for prescribed irradiance
Lin Wang1, Keyuan Qian, Yi Luo
1Semiconductor Lighting Laboratory, Graduate School of Shenzen, Tsinghua University, Shenzhen, China. wlin04@mails.tsinghua.edu.cn
Applied Optics
|June 1, 2007
Summary
A novel variable separation mapping method optimizes light redirection for prescribed irradiance. This approach efficiently designs optical surfaces to control light rays for specific illumination patterns.
Area of Science:
- Optics and Photonics
- Optical Engineering
Background:
- Designing optical systems to achieve specific irradiance distributions from point sources is a complex challenge.
- Existing methods may lack efficiency or flexibility in controlling light ray mapping.
Purpose of the Study:
- To introduce a new variable separation mapping method for solving the problem of forming prescribed irradiance from a point source.
- To develop a method for determining optical surface design based on light ray correspondence.
Main Methods:
- The variable separation mapping method establishes separate correspondences between light source variables and target plane variables.
- Optical surface design involves calculating surface points and their normal vectors.
- A normal deviation control method is introduced to manage deviations during surface construction, potentially introducing discontinuities.
Main Results:
- A fast and efficient algorithm is developed based on the proposed mapping and normal control methods.
- The algorithm is effective for prescribed irradiance problems with simple, non-rotational illuminated regions.
Conclusions:
- The variable separation mapping method offers a novel and efficient approach to optical surface design for irradiance control.
- The developed algorithm provides a practical solution for specific prescribed irradiance applications.
