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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. 30, Iss. 6 — Jun. 1, 2013
  • pp: 1180–1183

Rayleigh–Sommerfeld diffraction formula in k space

C. J. R. Sheppard, J. Lin, and S. S. Kou  »View Author Affiliations


JOSA A, Vol. 30, Issue 6, pp. 1180-1183 (2013)
http://dx.doi.org/10.1364/JOSAA.30.001180


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Abstract

An angular spectrum representation in three dimensions is used to develop three-dimensional Fourier forms of the first and second Rayleigh–Sommerfeld diffraction formulae and the Kirchhoff diffraction formula. For forward-propagating waves, these reduce to three-dimensional Fourier representations for diffraction in the forward half-space.

© 2013 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(260.1960) Physical optics : Diffraction theory
(070.7345) Fourier optics and signal processing : Wave propagation

ToC Category:
Diffraction and Gratings

History
Original Manuscript: March 12, 2013
Revised Manuscript: April 28, 2013
Manuscript Accepted: April 28, 2013
Published: May 16, 2013

Citation
C. J. R. Sheppard, J. Lin, and S. S. Kou, "Rayleigh–Sommerfeld diffraction formula in k space," J. Opt. Soc. Am. A 30, 1180-1183 (2013)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-30-6-1180

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