Design of a uniform illumination lens based on the hypothetical point source ensemble method

Area of Science:

• Optical engineering
• Illumination design
• Photonics

Background:

• Achieving uniform light distribution from Lambertian sources is a persistent challenge in illumination engineering.
• Compact and efficient lens design is crucial for modern lighting applications, especially with Light Emitting Diodes (LEDs).

Purpose of the Study:

• To propose and validate a novel method for designing compact uniform illumination lenses for Lambertian light sources.
• To enhance both illumination uniformity and energy utilization efficiency in lighting systems.

Main Methods:

• A Hybrid Physical Optics and Energy-mapping (HPE) method was employed.
• The inner surface was designed as a uniform secondary light source, and the outer surface utilized energy-mapping.
• Numerical calculations and surface fitting were performed to obtain a hyperbolic surface lens.

Main Results:

• The initial lens design achieved 85% illumination uniformity and a 36% improvement in energy utilization.
• The optimized extended LED source lens reached 98.32% uniformity and 91.17% energy utilization.
• The optimized point source lens demonstrated 96.7% uniformity and 99.55% energy efficiency.

Conclusions:

• The proposed HPE method effectively designs compact uniform illumination lenses for Lambertian sources.
• The optimized lenses significantly improve uniformity and energy efficiency for both extended and point light sources.
• These lenses are suitable for near and far illumination applications and rectangular light sources.