✍ Scribed by Z.E.A. Fellah; M. Fellah; W. Lauriks; C. Depollier; J.-Y. Chapelon; Y.C. Angel
No coin nor oath required. For personal study only.
This paper provides an analytical solution in the time domain for the propagation of transient ultrasonic waves in a homogeneous isotropic porous material having a rigid frame. The coefficients of the propagation equation are constant and depend only on the acoustical parameters of the porous material. The propagation equation contains fractional derivative terms that describe viscous and thermal interactions between the solid and the fluid. The dynamic response of the material is obtained using the Laplace transform method. An experimental application to porous plastic foams is given to validate the solution of the propagation equation.
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## Abstract A method for the time‐domain simulation of electromagnetic wave propagation in ferromagnetic materials displaying frequency‐dependence and saturation is developed. The technique is based on incorporating into transmission‐line modelling (TLM) a non‐linear system to describe the frequenc