Free-form lens for rectangular illumination with the target plane rotating at a certain angle

Area of Science:

• Optical Engineering
• Illumination Systems Design

Background:

• Traditional (u,v) mapping methods for illumination can suffer from one-to-many correspondence, leading to non-uniformity.
• Achieving high efficiency and uniformity in rectangular illumination is crucial for various optical applications.

Purpose of the Study:

• To propose an improved method for rectangular illumination in a (u,v) coordinate system.
• To enhance collection efficiency and illuminance uniformity compared to traditional approaches.

Main Methods:

• A novel approach involving rotation of the target plane around the z-axis to align a diagonal with a coordinate axis.
• Partitioning both the light source and target plane into grids, establishing a one-to-one correspondence between source and target points.
• Designing lenses based on this improved mapping method for rectangular target plane illumination.

Main Results:

• The proposed method successfully avoids the one-to-many correspondence issue inherent in traditional (u,v) mapping.
• Significant improvements in illuminance pattern uniformity were achieved.
• Lenses designed using this method yielded a uniformity of over 0.83 and an efficiency of approximately 0.92 for a 1mm x 1mm LED Lambertian source.

Conclusions:

• The developed method offers a superior approach to rectangular illumination design.
• The technique demonstrates high collection efficiency and favorable uniformity, making it suitable for practical applications.
• This work provides a foundation for designing advanced illumination systems with precise control over light distribution.