**Smoothed Wigner transforms and homogenization of wave propagation.** / Athanassoulis, Agissilaos G.

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

Athanassoulis, AG 2007, Smoothed Wigner transforms and homogenization of wave propagation. in *Days on Diffraction: 2007 Proceedings of the International Conference.* IEEE, pp. 13-18. DOI: 10.1109/DD.2007.4531981

Athanassoulis, A. G. (2007). Smoothed Wigner transforms and homogenization of wave propagation. In *Days on Diffraction: 2007 Proceedings of the International Conference.* (pp. 13-18). IEEE. DOI: 10.1109/DD.2007.4531981

Athanassoulis AG. Smoothed Wigner transforms and homogenization of wave propagation. In Days on Diffraction: 2007 Proceedings of the International Conference. IEEE. 2007. p. 13-18. Available from, DOI: 10.1109/DD.2007.4531981

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title = "Smoothed Wigner transforms and homogenization of wave propagation",

author = "Athanassoulis, {Agissilaos G.}",

note = "cited By 0",

year = "2007",

doi = "10.1109/DD.2007.4531981",

isbn = "5-9651-0118-X",

pages = "13--18",

booktitle = "Days on Diffraction",

publisher = "IEEE",

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TY - CHAP

T1 - Smoothed Wigner transforms and homogenization of wave propagation

AU - Athanassoulis,Agissilaos G.

N1 - cited By 0

PY - 2007

Y1 - 2007

N2 - 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.

AB - 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.

U2 - 10.1109/DD.2007.4531981

DO - 10.1109/DD.2007.4531981

M3 - Conference contribution

SN - 5-9651-0118-X

SP - 13

EP - 18

BT - Days on Diffraction

PB - IEEE

ER -