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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: Stephen A. Burns
  • Vol. 25, Iss. 11 — Nov. 1, 2008
  • pp: 2734–2742

Young–Kirchhoff–Rubinowicz theory of diffraction in the light of Sommerfeld’s solution

Yusuf Z. Umul  »View Author Affiliations


JOSA A, Vol. 25, Issue 11, pp. 2734-2742 (2008)
http://dx.doi.org/10.1364/JOSAA.25.002734


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Abstract

Kirchhoff’s theory of diffraction is derived by transforming the exact solution of Sommerfeld into surface integrals for the half-plane problem. It is shown that the exact solution directly yields the integral theorem of Kirchhoff in the context of the modified diffraction theory of Kirchhoff. The line integrals of Young–Rubinowicz are also derived by considering the rigorous solution of the reflected scattered fields for grazing incidence.

© 2008 Optical Society of America

OCIS Codes
(050.1960) Diffraction and gratings : Diffraction theory
(260.0260) Physical optics : Physical optics
(260.1960) Physical optics : Diffraction theory

ToC Category:
Physical Optics

History
Original Manuscript: May 22, 2008
Revised Manuscript: August 29, 2008
Manuscript Accepted: September 5, 2008
Published: October 15, 2008

Citation
Yusuf Z. Umul, "Young-Kirchhoff-Rubinowicz theory of diffraction in the light of Sommerfeld's solution," J. Opt. Soc. Am. A 25, 2734-2742 (2008)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-25-11-2734

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