Formulation of a T-Matrix Approach for a Piecewise-Homogeneous Anisotropic Medium Excited by a Spherical Sound Wave

Andreas Kalogeropoulos and Nikolaos L. Tsitsas ()
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Andreas Kalogeropoulos: School of Informatics, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece
Nikolaos L. Tsitsas: School of Informatics, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece

Mathematics, 2023, vol. 11, issue 22, 1-12

Abstract: A piecewise-homogeneous medium, consisting of anisotropic layers, is excited by a primary spherical sound wave due to a point source lying in the exterior of the medium or in one of its layers. The direct scattering problem is formulated by means of a modified scalar Helmholtz equation incorporating the anisotropic characteristics of the problem. The T-matrix of the problem is determined analytically by means of a suitable coordinate transformation. Then, the acoustic fields in all layers are obtained. Finally, specific reductions to special cases are presented.

Keywords: anisotropic acoustics; spherical wave; layered media; Green’s function; T-matrix; excitation operators (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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