Wigner functions defined with Laplace transform kernels

作者:Oh Se Baek*; Petruccelli Jonathan C; Tian Lei; Barbastathis George
来源:Optics Express, 2011, 19(22): 21938-21944.
DOI:10.1364/OE.19.021938

摘要

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.

  • 出版日期2011-10-24
  • 单位MIT