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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 47, Iss. 1 — Jan. 1, 2008
  • pp: 88–92

Analytical light-ray tracing in two-dimensional objects for light-extraction problems in light-emitting diodes

Hisashi Masui, Shuji Nakamura, and Steven P. DenBaars  »View Author Affiliations

Applied Optics, Vol. 47, Issue 1, pp. 88-92 (2008)

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Light extraction from two-dimensional objects is discussed. Analytical calculations in terms of three different parameters have been applied to equiangular polygons to trace light rays during multiple reflections in a polygon. Based on the result that there are a finite number of incident angles in a polygon for a light ray, it was found that the triangle has the least chance to trap light rays among the polygons. The discussion has been extended to parallelograms, which have an advantage in light extraction to rectangles. Placement of a possible light source in polygons is discussed.

© 2008 Optical Society of America

OCIS Codes
(160.6000) Materials : Semiconductor materials
(250.0250) Optoelectronics : Optoelectronics

ToC Category:

Original Manuscript: August 27, 2007
Manuscript Accepted: October 22, 2007
Published: December 20, 2007

Hisashi Masui, Shuji Nakamura, and Steven P. DenBaars, "Analytical light-ray tracing in two-dimensional objects for light-extraction problems in light-emitting diodes," Appl. Opt. 47, 88-92 (2008)

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