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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 29, Iss. 9 — Sep. 1, 2012
  • pp: 2015–2018

Simplification for Fraunhofer diffracting pattern of various randomly oriented ice crystals in cirrus

Olivier Pujol, Gérard Brogniez, and Laurent Labonnote  »View Author Affiliations


JOSA A, Vol. 29, Issue 9, pp. 2015-2018 (2012)
http://dx.doi.org/10.1364/JOSAA.29.002015


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Abstract

This paper deals with Fraunhofer diffraction by an ensemble of independent randomly oriented ice crystals of assorted shapes, like those of cirrus clouds. There is no restriction on the shape of each crystal. It is shown that light flux density in the Fourier plane is azimuth-invariant and varies as 1/sin4θ, θ being the angle of diffraction. The analytical formula proposed is exact. The key point of this study is conservation of electromagnetic energy.

© 2012 Optical Society of America

OCIS Codes
(010.1290) Atmospheric and oceanic optics : Atmospheric optics
(010.2940) Atmospheric and oceanic optics : Ice crystal phenomena
(050.1940) Diffraction and gratings : Diffraction
(050.1960) Diffraction and gratings : Diffraction theory
(260.1180) Physical optics : Crystal optics

ToC Category:
Atmospheric and Oceanic Optics

History
Original Manuscript: June 11, 2012
Manuscript Accepted: June 26, 2012
Published: August 31, 2012

Citation
Olivier Pujol, Gérard Brogniez, and Laurent Labonnote, "Simplification for Fraunhofer diffracting pattern of various randomly oriented ice crystals in cirrus," J. Opt. Soc. Am. A 29, 2015-2018 (2012)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-29-9-2015

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