Abstract

Light-emitting diodes (LEDs) will play a major role in future indoor illumination systems. In general, the generalized Lambertian pattern is widely used as the radiation pattern of a single LED. In this letter, we show that the illuminance distribution due to this Lambertian pattern, when projected onto a horizontal surface such as a floor, can be well approximated by a Gaussian function.

© 2008 Optical Society of America

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References

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  1. Lumileds, "LUXEON Power LEDs," http://www.lumileds.com/products/luxeon/.
  2. J. M. Kahn and J. R. Barry, "Wireless Infrared Communications," Proc. IEEE  85, 265-298 (1997).
    [CrossRef]
  3. I. Moreno, C.-Y. Tsai, D. Berm˜udez and C.-C. Sun, "Simple function for intensity distribution from LEDs," Proc. SPIE 6670, 66700H-66700H-7 (2007).
  4. I. Moreno and U. Contreras, "Color distribution from multicolor LED arrays," Opt. Express 15, 3607-3618 (2007).
    [CrossRef]
  5. L. Svilainis and V. Dumbrava, "LED Far Field Pattern Approximation Performance Study," in Prof. Int. Conf. on Information Technology Interfaces (2007), pp. 645-649.
  6. Lumileds, "LUXEON LED Radiation Patterns:Light Distribution Patterns," http://www.lumileds.com/technology/radiationpatterns.cfm
  7. R. Otte, L. P. de Jong, and A. H. M. van Roermund, Low-Power Wireless Infrared Communications (Kluwer Academic Publishers, 1999), Chap. 3.
  8. Lumileds, "LUXEON for Flashlight Applications," http://www.lumileds.com/pdfs/DR02.PDF.
  9. Faren Srl, "FHS Lens Series," http://www.fraen.com/pdf/FHS Lens Series Datasheet.pdf.
  10. Marubeni, "Fully Sealable APOLLO Lens for LUXEON," http://www.led-spot.com/data/APOLLO.pdf.
  11. H. Yang, J. W. M. Bergmans, T. C. W. Schenk, J. P. M. G. Linnartz and R. Rietman, "Uniform Illumination Rendering using an Array of LEDs: A Signal Processing Perspective," to appear in IEEE Trans. Signal Processing, 2009.
  12. P. R. Boyce, Human Factors in Lighting, Second Edition (Taylar & Francis Inc, 2003).
  13. V. Jungnickel, V. Pohl, S. Nonnig and C. V. Helmolt, "A Physical Model of theWireless Infrared Communication Channel," IEEE J. Select. Areas Commun. 20, 631-640 (2002).
    [CrossRef]

2007

2002

V. Jungnickel, V. Pohl, S. Nonnig and C. V. Helmolt, "A Physical Model of theWireless Infrared Communication Channel," IEEE J. Select. Areas Commun. 20, 631-640 (2002).
[CrossRef]

1997

J. M. Kahn and J. R. Barry, "Wireless Infrared Communications," Proc. IEEE  85, 265-298 (1997).
[CrossRef]

Barry, J. R.

J. M. Kahn and J. R. Barry, "Wireless Infrared Communications," Proc. IEEE  85, 265-298 (1997).
[CrossRef]

Contreras, U.

Helmolt, C. V.

V. Jungnickel, V. Pohl, S. Nonnig and C. V. Helmolt, "A Physical Model of theWireless Infrared Communication Channel," IEEE J. Select. Areas Commun. 20, 631-640 (2002).
[CrossRef]

Jungnickel, V.

V. Jungnickel, V. Pohl, S. Nonnig and C. V. Helmolt, "A Physical Model of theWireless Infrared Communication Channel," IEEE J. Select. Areas Commun. 20, 631-640 (2002).
[CrossRef]

Kahn, J. M.

J. M. Kahn and J. R. Barry, "Wireless Infrared Communications," Proc. IEEE  85, 265-298 (1997).
[CrossRef]

Moreno, I.

Nonnig, S.

V. Jungnickel, V. Pohl, S. Nonnig and C. V. Helmolt, "A Physical Model of theWireless Infrared Communication Channel," IEEE J. Select. Areas Commun. 20, 631-640 (2002).
[CrossRef]

Pohl, V.

V. Jungnickel, V. Pohl, S. Nonnig and C. V. Helmolt, "A Physical Model of theWireless Infrared Communication Channel," IEEE J. Select. Areas Commun. 20, 631-640 (2002).
[CrossRef]

IEEE J. Select. Areas Commun.

V. Jungnickel, V. Pohl, S. Nonnig and C. V. Helmolt, "A Physical Model of theWireless Infrared Communication Channel," IEEE J. Select. Areas Commun. 20, 631-640 (2002).
[CrossRef]

Opt. Express

Proc. IEEE

J. M. Kahn and J. R. Barry, "Wireless Infrared Communications," Proc. IEEE  85, 265-298 (1997).
[CrossRef]

Other

I. Moreno, C.-Y. Tsai, D. Berm˜udez and C.-C. Sun, "Simple function for intensity distribution from LEDs," Proc. SPIE 6670, 66700H-66700H-7 (2007).

Lumileds, "LUXEON Power LEDs," http://www.lumileds.com/products/luxeon/.

L. Svilainis and V. Dumbrava, "LED Far Field Pattern Approximation Performance Study," in Prof. Int. Conf. on Information Technology Interfaces (2007), pp. 645-649.

Lumileds, "LUXEON LED Radiation Patterns:Light Distribution Patterns," http://www.lumileds.com/technology/radiationpatterns.cfm

R. Otte, L. P. de Jong, and A. H. M. van Roermund, Low-Power Wireless Infrared Communications (Kluwer Academic Publishers, 1999), Chap. 3.

Lumileds, "LUXEON for Flashlight Applications," http://www.lumileds.com/pdfs/DR02.PDF.

Faren Srl, "FHS Lens Series," http://www.fraen.com/pdf/FHS Lens Series Datasheet.pdf.

Marubeni, "Fully Sealable APOLLO Lens for LUXEON," http://www.led-spot.com/data/APOLLO.pdf.

H. Yang, J. W. M. Bergmans, T. C. W. Schenk, J. P. M. G. Linnartz and R. Rietman, "Uniform Illumination Rendering using an Array of LEDs: A Signal Processing Perspective," to appear in IEEE Trans. Signal Processing, 2009.

P. R. Boyce, Human Factors in Lighting, Second Edition (Taylar & Francis Inc, 2003).

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