Simple function for intensity distribution from LEDs

Ivan Moreno, Chang Yu Tsai, David Bermúdez, Ching Cherng Sun

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

15 Scopus citations


Since its beginnings, light-emitting diode (LED) has progressed toward greater performance. Today, LEDs are everywhere, in many shapes, and with a wide range of radiation patterns. We propose a general analytic representation for the angular intensity distribution of the light emitted from an LED. The radiation pattern equation is determined by adding a Gaussian or a power cosine expression for contributions from the emitting surfaces (chip, chip arrays, or for some cases a phosphor surface), and the light redirected by the reflecting cup and the encapsulating lens. Mathematically, the pattern is described as a sum of Gaussian or of cosine-power functions. The resulting equation is widely applicable for any kind of LED of practical interest. We successfully model the radiation patterns from several manufacturer datasheets.

Original languageEnglish
Title of host publicationNonimaging Optics and Efficient Illumination Systems IV
StatePublished - 2007
EventNonimaging Optics and Efficient Illumination Systems IV - San Diego, CA, United States
Duration: 26 Aug 200727 Aug 2007

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
ISSN (Print)0277-786X


ConferenceNonimaging Optics and Efficient Illumination Systems IV
Country/TerritoryUnited States
CitySan Diego, CA


  • Intensity pattern
  • Light-emitting diode
  • Model


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