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Related Experiment Video

Updated: May 5, 2026

In Depth Analyses of LEDs by a Combination of X-ray Computed Tomography CT and Light Microscopy LM Correlated with Scanning Electron Microscopy SEM
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Modeling the radiation pattern of LEDs.

Ivan Moreno1, Ching-Cherng Sun

  • 1Unidad Academica de Fisica, Universidad Autonoma de Zacatecas, Zacatecas 98060, Mexico. imoreno@planck.reduaz.mx

Optics Express
|June 11, 2008
PubMed
Summary

We developed a simple analytic model to accurately describe light-emitting diode (LED) radiation patterns. This versatile model captures angular intensity and spatial irradiance for various LED types, aiding optical design.

Area of Science:

  • Optics and Photonics
  • Solid-State Lighting
  • Optical Engineering

Background:

  • Light-emitting diodes (LEDs) exhibit diverse radiation patterns.
  • Accurate modeling of LED light distribution is crucial for optical design and performance prediction.

Purpose of the Study:

  • To propose a general, simple, and accurate analytic representation for LED radiation patterns.
  • To develop a model capable of rendering both angular intensity distribution and spatial irradiance patterns.

Main Methods:

  • A phenomenological model considering emitting surfaces (chip, chip array, phosphor) and light redirection (reflecting cup, encapsulating lens).
  • Mathematical description using the sum of two or three Gaussian or cosine-power functions.
  • Validation against radiation patterns from various world-class LED manufacturers.

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Main Results:

  • The proposed analytic model accurately represents a wide variety of LED radiation patterns.
  • The model effectively captures angular intensity and spatial irradiance distributions.
  • Demonstrated applicability across different LED types and configurations.

Conclusions:

  • The developed analytic equation provides a widely applicable and accurate method for modeling LED light emission.
  • This model simplifies the characterization of LED radiation patterns for practical engineering applications.
  • The approach facilitates precise optical design and simulation for diverse LED products.