Modeling the radiation pattern of LEDs

Ivan Moreno, Ching Cherng Sun

Research output: Contribution to journalArticlepeer-review

283 Scopus citations


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.

Original languageEnglish
Pages (from-to)1808-1819
Number of pages12
JournalOptics Express
Issue number3
StatePublished - 4 Feb 2008


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