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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 3 — Feb. 4, 2008
  • pp: 1808–1819

Modeling the radiation pattern of LEDs

Ivan Moreno and Ching-Cherng Sun  »View Author Affiliations


Optics Express, Vol. 16, Issue 3, pp. 1808-1819 (2008)
http://dx.doi.org/10.1364/OE.16.001808


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Abstract

Light-emitting diodes (LEDs) come in many varieties and with a wide range of radiation patterns. We propose a general, simple but accurate analytic representation for the radiation pattern of the light emitted from an LED. To accurately render both the angular intensity distribution and the irradiance spatial pattern, a simple phenomenological model takes into account the emitting surfaces (chip, chip array, or phosphor surface), and the light redirected by both the reflecting cup and the encapsulating lens. Mathematically, the pattern is described as the sum of a maximum of two or three Gaussian or cosine-power functions. The resulting equation is widely applicable for any kind of LED of practical interest. We accurately model a wide variety of radiation patterns from several world-class manufacturers.

© 2008 Optical Society of America

OCIS Codes
(120.5630) Instrumentation, measurement, and metrology : Radiometry
(150.2950) Machine vision : Illumination
(220.4830) Optical design and fabrication : Systems design
(230.3670) Optical devices : Light-emitting diodes
(350.4600) Other areas of optics : Optical engineering

ToC Category:
Optical Devices

History
Original Manuscript: December 3, 2007
Revised Manuscript: January 20, 2008
Manuscript Accepted: January 21, 2008
Published: January 25, 2008

Citation
Ivan Moreno and Ching-Cherng Sun, "Modeling the radiation pattern of LEDs," Opt. Express 16, 1808-1819 (2008)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-3-1808


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