Abstract
To investigate the propagation of normal and damped waves in a layered, transversally isotropic medium, it is necessary to determine the complex and pure imaginary roots of the dispersion equation. The dispersion equation considerably simplifies in the case of large and small wave numbers. It is therefore possible to determine the initial and final points of all roots and to trace the entire motion of the roots between these points.
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 99, pp. 104–122, 1980.
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Molotkov, L.A., Baimagambetov, U. Investigation of the roots of the dispersion equation for a layered, transversally isotropic medium. J Math Sci 20, 2462–2475 (1982). https://doi.org/10.1007/BF01087293
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DOI: https://doi.org/10.1007/BF01087293