Abstract
The formalism of the matricant method based on constructing the optimal structure of the matrix of fundamental solutions to the governing differential equations is presented. The structures of the coefficient matrices of the governing equations and the structure of the matricant are determined for the acoustic coupled-field waves in elastic, thermoelastic, piezoelectric, and piezomagnetic anisotropic media. The analytical expressions of matricants are obtained for various homogeneous anisotropic media. The efficiency of the method is demonstrated in the case for an analysis of wave propagation in periodic structures. As examples, the secular equations for dispersive waves in layered and periodic structures are derived.
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