In the context of wave propagation through damaged (elastic) solids, an analytical approach to study the normal penetration of a scalar plane wave into a periodic array of defects with arbitrary shape is developed. Starting from an integral representation of the wave field and the scattering parameters, we apply simple (but uniform) approximations valid in the so-called "one-mode" regime of frequency so as to derive some auxiliary integral equations independent on frequency; the problem is thus reduced to a 13x13 (or 22x22) linear system, whose solution leads to explicit analytical formulas for the above field and parameters.
Analytical results for scattering problems in wave propagation
SCARPETTA, Edoardo
2003-01-01
Abstract
In the context of wave propagation through damaged (elastic) solids, an analytical approach to study the normal penetration of a scalar plane wave into a periodic array of defects with arbitrary shape is developed. Starting from an integral representation of the wave field and the scattering parameters, we apply simple (but uniform) approximations valid in the so-called "one-mode" regime of frequency so as to derive some auxiliary integral equations independent on frequency; the problem is thus reduced to a 13x13 (or 22x22) linear system, whose solution leads to explicit analytical formulas for the above field and parameters.File in questo prodotto:
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