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 Optical Society of America
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