Wigner-transform approach to paraxial light propagation in stratified media

For the first time, to the author's knowledge, a matrixlike relation between the electric field and its derivative along the stratification direction of a layered medium at two different planes has been found for Gaussian beams and Gaussian pulses. The propagation laws for the Wigner transform and its moments through a stratified medium have been derived for different forms of the electric field by taking into account the presence of reflection and refraction at the interfaces.

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