Abstract
A large number of scientific works are devoted to the problems of propagation of waves of different physical nature in periodic and heterogeneous media. The main problem considered in the article was the study of the shear wave in the layered-periodic structure "piezoelectric - gap". The statement is given and the problem of the propagation of volumetric acoustoelectric elastic shear waves in a regularly layered piezoelectric-slit medium is solved. Dispersion relations were obtained, which allow to investigate the possibility of propagation of wave fields with an arbitrary geometry of the period of the structure. A comparison of the spectra of the dispersion curves for volumetric acoustoelectric waves in a regularly layered space was carried out. The obtained dispersion relations were also analyzed numerically, and the results are presented in the form of graphs. Graphs of the limits of the boundaries of the transmission zones for various types of geometry of the generating layer package are given. As a result of numerical experiments, the possibility of the existence of transmission zones for bulk acoustic-electric waves in regularly layered media of the "piezoelectric - slot" type was established.
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