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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 22 — Oct. 24, 2011
  • pp: 21938–21944

Wigner functions defined with Laplace transform kernels

Se Baek Oh, Jonathan C. Petruccelli, Lei Tian, and George Barbastathis  »View Author Affiliations

Optics Express, Vol. 19, Issue 22, pp. 21938-21944 (2011)

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We propose a new Wigner–type phase–space function using Laplace transform kernels—Laplace kernel Wigner function. Whereas momentum variables are real in the traditional Wigner function, the Laplace kernel Wigner function may have complex momentum variables. Due to the property of the Laplace transform, a broader range of signals can be represented in complex phase–space. We show that the Laplace kernel Wigner function exhibits similar properties in the marginals as the traditional Wigner function. As an example, we use the Laplace kernel Wigner function to analyze evanescent waves supported by surface plasmon polariton.

© 2011 OSA

OCIS Codes
(350.6980) Other areas of optics : Transforms
(050.5082) Diffraction and gratings : Phase space in wave options
(070.7425) Fourier optics and signal processing : Quasi-probability distribution functions

ToC Category:
Fourier Optics and Signal Processing

Original Manuscript: July 28, 2011
Revised Manuscript: September 17, 2011
Manuscript Accepted: September 30, 2011
Published: October 21, 2011

Se Baek Oh, Jonathan C. Petruccelli, Lei Tian, and George Barbastathis, "Wigner functions defined with Laplace transform kernels," Opt. Express 19, 21938-21944 (2011)

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