Fresnel-Loss-Constrained Freeform Lens Design Based on NSGA-II Multiobjective Optimization
Kun Zhang1, Yun Cui Zhang1, Bo Jiang1
1School of Information Science & Engineering, Dalian Polytechnic University, Dalian, China.
Luminescence : the Journal of Biological and Chemical Luminescence
|October 15, 2025
Summary
This study introduces a new method for designing freeform lenses in LED packaging, significantly improving light efficiency and optical quality by accounting for Fresnel losses. The optimized lenses reduce flux loss and enhance illuminance uniformity.
Area of Science:
- Optics and Photonics
- Optical Engineering
- Materials Science
Background:
- Freeform lenses are crucial for LED beam shaping.
- Current designs often overlook Fresnel loss at multiple interfaces, limiting performance.
- Optimizing lens design requires balancing efficiency and optical quality.
Purpose of the Study:
- To develop a synergistic freeform lens design methodology for LED packaging.
- To address and minimize Fresnel loss effects at multi-interface boundaries.
- To achieve high light extraction efficiency and superior optical quality control.
Main Methods:
- Constructed a multi-interface energy transmission model using Fresnel equations.
- Implemented a triobjective optimization targeting flux loss, surface curvature, and illuminance uniformity.
- Employed the NSGA-II algorithm to generate Pareto-optimal solutions balancing optical laws and constraints.
Main Results:
- Reduced total flux loss from 8.98 to 4.41 lm.
- Suppressed peak surface curvature from 25.4 to 2.42.
- Improved illuminance uniformity from 0.84 to 0.91.
Conclusions:
- The proposed methodology offers a systematic approach for designing high-efficiency freeform optics.
- Successfully balanced photometric performance metrics including light extraction and uniformity.
- Demonstrated significant improvements in lens performance through experimental validation.
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