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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 47, Iss. 1 — Jan. 1, 2008
  • pp: 45–51

Double Wigner distribution function of a first-order optical system with a hard-edge aperture

Weiqing Pan  »View Author Affiliations


Applied Optics, Vol. 47, Issue 1, pp. 45-51 (2008)
http://dx.doi.org/10.1364/AO.47.000045


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Abstract

The effect of an apertured optical system on Wigner distribution can be expressed as a superposition integral of the input Wigner distribution function and the double Wigner distribution function of the apertured optical system. By introducing a hard aperture function into a finite sum of complex Gaussian functions, the double Wigner distribution functions of a first-order optical system with a hard aperture outside and inside it are derived. As an example of application, the analytical expressions of the Wigner distribution for a Gaussian beam passing through a spatial filtering optical system with an internal hard aperture are obtained. The analytical results are also compared with the numerical integral results, and they show that the analytical results are proper and ascendant.

© 2008 Optical Society of America

OCIS Codes
(050.1220) Diffraction and gratings : Apertures
(050.1970) Diffraction and gratings : Diffractive optics
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing
(070.2590) Fourier optics and signal processing : ABCD transforms

ToC Category:
Diffraction and Gratings

History
Original Manuscript: August 24, 2007
Revised Manuscript: October 15, 2007
Manuscript Accepted: October 30, 2007
Published: December 20, 2007

Citation
Weiqing Pan, "Double Wigner distribution function of a first-order optical system with a hard-edge aperture," Appl. Opt. 47, 45-51 (2008)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-47-1-45

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