Scattering of a transient plane compression wave by a spherical inclusion in a Biot medium

The scattering of an arbitrary transient plane wave by a spherical inclusion in a Biot medium is modeled, by applying the single frequency, steady‐state solution of Zimmerman and Stern [ 527–536 (1993)] to the discrete Fourier components of the transient signal, and assuming linear supersposition. The solution of Zimmerman and Stern is an analytical series solution. Its accuracy is mainly determined by computation errors and the convergence of the series. The incident pulse can be any combination of Biot fast and low waves. The theoretical results for certain cases are shown. They are also compared to experimental measurements. [Work supported by Naval Research Laboratory, Stennis Space Center.]