## Smoothed Wigner transforms and homogenization of wave propagation

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Original language | English |
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Title of host publication | Days on Diffraction |
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Subtitle of host publication | 2007 Proceedings of the International Conference |
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Publisher | IEEE |
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Pages | 13-18 |
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ISBN (Print) | 5-9651-0118-X |
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DOIs | |
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State | Published - 2007 |
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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.