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Optics Letters

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  • Editor: Alan E. Willner
  • Vol. 35, Iss. 8 — Apr. 15, 2010
  • pp: 1142–1144

Cross terms of the Wigner distribution function and aliasing in numerical simulations of paraxial optical systems

John J. Healy, William T. Rhodes, and John T. Sheridan  »View Author Affiliations


Optics Letters, Vol. 35, Issue 8, pp. 1142-1144 (2010)
http://dx.doi.org/10.1364/OL.35.001142


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Abstract

Sampling a function periodically replicates its spectrum. As a bilinear function of the signal, the associated Wigner distribution function contains cross terms between the replicas. Often neglected, these cross terms affect numerical simulations of paraxial optical systems. We develop expressions for these cross terms and show their effect on an example calculation.

© 2010 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(070.2590) Fourier optics and signal processing : ABCD transforms
(090.1995) Holography : Digital holography
(070.2025) Fourier optics and signal processing : Discrete optical signal processing

ToC Category:
Fourier Optics and Signal Processing

History
Original Manuscript: November 10, 2009
Revised Manuscript: January 26, 2010
Manuscript Accepted: February 22, 2010
Published: April 7, 2010

Citation
John J. Healy, William T. Rhodes, and John T. Sheridan, "Cross terms of the Wigner distribution function and aliasing in numerical simulations of paraxial optical systems," Opt. Lett. 35, 1142-1144 (2010)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-35-8-1142


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