OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Franco Gori
  • Vol. 27, Iss. 9 — Sep. 1, 2010
  • pp: 1985–1993

Output irradiance of tapered lightpipes

Ivan Moreno  »View Author Affiliations

JOSA A, Vol. 27, Issue 9, pp. 1985-1993 (2010)

View Full Text Article

Enhanced HTML    Acrobat PDF (825 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A light cone efficiently transports, distributes, and concentrates the incoming radiation. I derive a formula for the spatial irradiance (or illuminance) distribution at the exit aperture of a tapered light pipe. The theory is demonstrated by Monte Carlo ray-tracing for lightpipes with light-emitting diodes at the input face. The analysis is based on the addition of the radiation patterns of the multiple virtual sources that, as in a three-dimensional kaleidoscope, are seen through a tapered light tube. Given its explicit dependence on the structural and optical parameters, this analysis may be a useful tool in the development and application of light cones.

© 2010 Optical Society of America

OCIS Codes
(030.5620) Coherence and statistical optics : Radiative transfer
(150.2950) Machine vision : Illumination
(080.3685) Geometric optics : Lightpipes

Original Manuscript: June 10, 2010
Manuscript Accepted: July 9, 2010
Published: August 12, 2010

Ivan Moreno, "Output irradiance of tapered lightpipes," J. Opt. Soc. Am. A 27, 1985-1993 (2010)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. F. Fournier, W. J. Cassarly, and J. P. Rolland, “Method to improve spatial uniformity with lightpipes,” Opt. Lett. 33, 1165–1167 (2008). [CrossRef] [PubMed]
  2. M. Kocifaj, “Analytical solution for daylight transmission via hollow light pipes with a transparent glazing,” Sol. Energy 83, 186–192 (2009). [CrossRef]
  3. P. D. Swift, R. Lawlor, G. B. Smith, and A. Gentle, “Rectangular-section mirror light pipes,” Sol. Energy Mater. Sol. Cells 92, 969–975 (2008). [CrossRef]
  4. J. M. Gordon, E. A. Katz, D. Feuermann, and M. Huleihil, “Toward ultrahigh-flux photovoltaic concentration,” Appl. Phys. Lett. 84, 3642–3644 (2004). [CrossRef]
  5. S. C. Chu and J. L. Chern, “No-loss bent light pipe with an equiangular spiral,” Opt. Lett. 30, 3006–3008 (2005). [CrossRef] [PubMed]
  6. Y. Qu, J. R. Howell, and O. A. Ezekoye, “Monte Carlo modeling of a light-pipe radiation thermometer,” IEEE Trans. Semicond. Manuf. 20, 39–50 (2007). [CrossRef]
  7. F. Fournier and J. P. Rolland, “Optimization of freeform lightpipes for light-emitting diode projectors,” Appl. Opt. 47, 957–966 (2008). [CrossRef] [PubMed]
  8. A. J. W. Whang, P. C. Li, Y. Y. Chen, and S. L. Hsieh, “Guiding light from LED array via tapered light pipe for illumination systems design,” J. Disp. Technol. 5, 104–108 (2009). [CrossRef]
  9. H. Murat, A. Gielen, and H. De Smet, “Gradually tapered light pipes for illumination of LED projectors,” J. Soc. Inf. Disp. 15, 519–526 (2007). [CrossRef]
  10. R. Zhang and H. Hua, “8.3: Design of a Compact Light Engine for FLCOS Microdisplays in a p-HMPD System,” SID Symposium Digest 39, 85 –87 (2008). [CrossRef]
  11. C. M. Cheng and J. L. Chern, “Illuminance formation and color difference of mixed-color light emitting diodes in a rectangular light pipe: an analytical approach,” Appl. Opt. 47, 431–441 (2008). [CrossRef] [PubMed]
  12. R. Winston, J. C. Miñano, and P. Benítez, Nonimaging Optics (Elsevier, 2005).
  13. W. Cassarly, “Nonimaging optics: concentration and illumination,” in OSA Handbook of Optics, 2nd ed., Vol. III (McGraw-Hill, 2001).
  14. J. Chaves, Introduction to Nonimaging Optics (CRC Press, 2008). [CrossRef]
  15. A. Gupta, J. Lee, and R. J. Koshel, “Design of efficient lightpipes for illumination by an analytical approach,” Appl. Opt. 40, 3640–3648 (2001). [CrossRef]
  16. Y.-K. Cheng and J.-L.. Chern, “Irradiance formations in hollow straight light pipes with square and circular shapes,” J. Opt. Soc. Am. A , Vol. 23, 427–434 (2006). [CrossRef]
  17. M. M. Chen, J. B. Berkowitz-Mattuck, and P. E. Glaser, “The use of a kaleidoscope to obtain uniform flux over a large area in a solar or arc imaging furnace,” Appl. Opt. 2, 265–272 (1963). [CrossRef]
  18. M. Iona, “Virtual mirrors,” Phys. Teach. 20, 278 (1982). [CrossRef]
  19. I. Moreno and C. C. Sun, “Modeling the radiation pattern of LEDs,” Opt. Express 16, 1808–1819 (2008). [CrossRef] [PubMed]
  20. I. Moreno and C. C. Sun, “Three-dimensional measurement of light-emitting diode radiation pattern: a rapid estimation,” Meas. Sci. Technol. 20, 075306 (2009). [CrossRef]
  21. I. Moreno, J. Muñoz, and R. Ivanov, “Uniform illumination of distant targets using a spherical light-emitting diode array,” Opt. Eng. 46, 033001 (2007). [CrossRef]
  22. I. Moreno, C. C. Sun, and R. Ivanov, “Far-field condition for light-emitting diode arrays,” Appl. Opt. 48, 1190–1197 (2009). [CrossRef]
  23. I. Moreno, “Creating a desired lighting pattern with an LED array,” Proc. SPIE 7058, 705811 (2008). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited