THE STROH FORMALISM AND THE RECIPROCITY PROPERTIES OF REFLECTION-TRANSMISSION PROBLEMS IN CRYSTAL PIEZO-ACOUSTICS

The paper is concerned with the Helmholtz-Rayleigh reciprocity, which implies invariance of mode-into-mode transformation with respect to in terchange of incident mode and reflected or transmitted mode. This con cept is considered for a wide range of acoustic reflection-transmissio n problems in anisotropic piezoelectric media. Resorting to the ideas of the Stroh formalism and casting the wave solutions of a boundary pr oblem into a self-orthogonal and complete set, we develop the common a pproach which allows us to prove the reciprocity properties in a simil ar fashion for reflection-transmission for various boundary conditions .