Power allocation for uniform illumination with stochastic LED arrays

Area of Science:

• Optics and Photonics
• Statistical Physics
• Computer Engineering

Background:

• Achieving uniform irradiance from random Light Emitting Diode (LED) arrays is challenging.
• Existing LED geometries often result in non-uniform light distribution on projection surfaces.
• Optimizing power allocation is crucial for enhancing display and lighting applications.

Purpose of the Study:

• To propose a simple heuristic power allocation scheme for random LED arrays.
• To achieve uniform irradiance on a projection surface using the proposed scheme.
• To validate the effectiveness of the proposed model through numerical results.

Main Methods:

• Modeling LED locations using a binomial point process (BPP).
• Employing a quality factor as the primary performance metric for irradiance uniformity.
• Developing a heuristic algorithm for power allocation based on BPP and quality factor.

Main Results:

• The proposed heuristic power allocation scheme effectively achieves uniform irradiance.
• Numerical simulations confirm the model's ability to optimize light distribution.
• The method demonstrates superior simplicity compared to existing LED geometries and allocation strategies.

Conclusions:

• The developed heuristic power allocation scheme offers a straightforward and effective solution for uniform irradiance from random LED arrays.
• The binomial point process model provides a robust framework for analyzing and optimizing LED array performance.
• This approach has significant implications for improving the quality of projected images and lighting systems.