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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

  • Vol. 16, Iss. 5 — May. 1, 1999
  • pp: 1115–1123

Perturbation theory as a unified approach to describe diffractive optical elements

Markus Testorf  »View Author Affiliations


JOSA A, Vol. 16, Issue 5, pp. 1115-1123 (1999)
http://dx.doi.org/10.1364/JOSAA.16.001115


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Abstract

First-order perturbation theory is used to describe diffractive optical elements. This method provides an extension of Kirchhoff’s thin element approximation. In particular, the perturbation approximation considers propagation effects due to a finite depth of diffractive structures. The perturbation method is explicitly applied to various problems in diffractive optics, mostly related to the analysis of surface-relief structures. As part of this investigation this approach is compared with alternative extensions of the thin element model. This comparison illustrates that perturbation theory allows a consistent unified treatment of many diffraction phenomena, preserving the simplicity of Fourier optics.

© 1999 Optical Society of America

OCIS Codes
(050.1960) Diffraction and gratings : Diffraction theory
(050.1970) Diffraction and gratings : Diffractive optics
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(260.1960) Physical optics : Diffraction theory

History
Original Manuscript: July 28, 1998
Revised Manuscript: December 14, 1998
Manuscript Accepted: December 18, 1998
Published: May 1, 1999

Citation
Markus Testorf, "Perturbation theory as a unified approach to describe diffractive optical elements," J. Opt. Soc. Am. A 16, 1115-1123 (1999)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-16-5-1115


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