## Perturbation theory as a unified approach to describe diffractive optical elements

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

**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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