Abstract
The formation of transmission zones for the normal modes in a waveguide periodically inhomogeneous according to depth, is considered. It is shown that the existence of the normal modes in the indicated waveguide are determined similarly to the transmission domain for volume waves in periodic structures.
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Literature cited
S. K. Tleukenov, “The definition of fields of SH waves in stratoinhomogeneous media in media in the presence of rotation points,” in: The Mechanics of Tectonic Processes [in Russian], Nauka, Alma-Ata (1983), pp. 105–114.
Zh. S. Erzhanov, N. Zh. Zhubaev, and S. K. Tleukenov, Seismic Waves in an Inhomogeneous Medium [in Russian], Nauka, Alma-Ata (1985).
Zh. S. Erzhanov, N. Zh. Zhubaev, O. Baigonysov, and S. K. Tleukenov, “Analyzing dynamically periodically inhomogeneous media,” Prikl. Mekh.,23, No. 6, 3–9 (1987).
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 173, pp. 167–171, 1988.
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Tleukenov, S.K. Disposition of roots of the dispersion equation of a waveguide periodically inhomogeneous according to depth. J Math Sci 55, 1766–1770 (1991). https://doi.org/10.1007/BF01098218
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DOI: https://doi.org/10.1007/BF01098218