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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. 28, Iss. 3 — Mar. 1, 2011
  • pp: 290–295

Exact solution for scalar diffraction between tilted and translated planes using impulse functions over a surface

Levent Onural  »View Author Affiliations


JOSA A, Vol. 28, Issue 3, pp. 290-295 (2011)
http://dx.doi.org/10.1364/JOSAA.28.000290


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Abstract

The diffraction relation between a plane and another plane that is both tilted and translated with respect to the first one is revisited. The derivation of the result becomes easier when the impulse function over a surface is used as a tool. Such an approach converts the original 2D problem to an intermediate 3D problem and thus allows utilization of easy-to-interpret Fourier transform properties due to rotation and translation. An exact solution for the scalar monochromatic propagating waves case when the propagation direction is restricted to be in the forward direction is presented.

© 2011 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(050.1960) Diffraction and gratings : Diffraction theory
(070.7345) Fourier optics and signal processing : Wave propagation

History
Original Manuscript: July 30, 2010
Revised Manuscript: October 26, 2010
Manuscript Accepted: December 2, 2010
Published: February 4, 2011

Citation
Levent Onural, "Exact solution for scalar diffraction between tilted and translated planes using impulse functions over a surface," J. Opt. Soc. Am. A 28, 290-295 (2011)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-28-3-290

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