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Smoothed Wigner transforms and homogenization of wave propagation

Smoothed Wigner transforms and homogenization of wave propagation

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Original languageEnglish
Title of host publicationDays on Diffraction
Subtitle of host publication2007 Proceedings of the International Conference
PublisherIEEE
Pages13-18
ISBN (Print)5-9651-0118-X
DOIs
StatePublished - 2007

Abstract

The Wigner transform (WT) is a well known quadratic transform, mapping a wavefunction to a position-wavenumber quasi-density. WTs are used in the asymptotic treatment of semiclassical and other wave problems. The smoothed WT (SWT) method is a regularization and extension of WT-based approaches for the homogenization of wave propagation, which decouples homogenization from asymptotics: exact equations for the evolution of a given problem at coarse scale can be obtained, instead of merely looking at small parameter limits. In this work we present the derivation of the SWT equations.

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