Abstract

In this paper, a simple heuristic power allocation scheme is proposed for a random LED array to obtain uniform irradiance on the projection surface. This is done by considering a binomial point process (BPP) for modeling the LED location and using the quality factor as a performance metric. Numerical results are provided to validate the proposed model and demonstrate its simplicity over existing LED geometries.

Highlights

  • Light has traditionally been used for making objects visible to the naked eye

  • There has been tremendous interest in using it for free space communication [1]. This has simultaneously been accompanied by significant interest in light emitting diodes (LEDs) that have been replacing conventional light sources in almost all applications [2,3,4]

  • Fair amount of existing literature has focused on achieving uniform irradiance over a planar surface [5,6,7,8], beginning with the problem of finding the optimal LED geometry at the light source to achieve uniform irradiance [9]

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Summary

Introduction

Light has traditionally been used for making objects visible to the naked eye. Lately, there has been tremendous interest in using it for free space communication [1]. Fair amount of existing literature has focused on achieving uniform irradiance over a planar surface [5,6,7,8], beginning with the problem of finding the optimal LED geometry at the light source to achieve uniform irradiance [9]. [16] departs from the conventional model by considering arbitary locations for the source LEDs. The most practical scenario would be the case when the LEDs are placed randomly at the source with uniform illumination being achieved through power allocation, keeping the total power constant. The most practical scenario would be the case when the LEDs are placed randomly at the source with uniform illumination being achieved through power allocation, keeping the total power constant This problem is addressed in this paper by considering a BPP based stochastic geometry [17].

Irradiance
Problem Definition
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