The reflection-transmission problem of time-harmonic waves in a viscoelastic, anisotropic and stratified solid is examined. The medium is supposed to occupy the whole space. The waves are sent either from upwards or downwards with oblique incidence. The scattering matrix is defined by generalizing the procedure followed in the scalar case, namely, when the solid is isotropic and the wave incidence is normal. Existence, uniqueness and properties of the scattering matrix are discussed.
In questo articolo si studia un problema di riflessione e trasmissione per onde di tipo armonico nel tempo, che si propagano in un solido viscoelastico, anisotropo, stratificato. Si assume che il mezzo occupi l'intero spazio e che le onde siano inviate dall'alto o dal basso con incidenza obliqua. La matrice di scattering è definita generalizzando la costruzione seguita nel caso scalare, cioè quando il solido è isotropo e l'incidenza delle onde è normale. Si discutono l'esistenza, l'unicità e alcune proprietà della matrice di scattering.
@article{BUMI_2007_8_10B_3_521_0,
author = {Alessia Berti},
title = {Scattering Matrix for the Reflection-Transmission Problem in a Viscoelastic Medium},
journal = {Bollettino dell'Unione Matematica Italiana},
volume = {10-A},
year = {2007},
pages = {521-533},
zbl = {1139.74419},
mrnumber = {2351526},
language = {en},
url = {http://dml.mathdoc.fr/item/BUMI_2007_8_10B_3_521_0}
}
Berti, Alessia. Scattering Matrix for the Reflection-Transmission Problem in a Viscoelastic Medium. Bollettino dell'Unione Matematica Italiana, Tome 10-A (2007) pp. 521-533. http://gdmltest.u-ga.fr/item/BUMI_2007_8_10B_3_521_0/
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