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Dispersion properties of an inhomogeneous piezoelectric waveguide with attenuation

  • Classical Problems of Linear Acoustics and Wave Theory
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Abstract

Dispersion relations are investigated for a transversely inhomogeneous piezoelectric layer with attenuation. Using the complex modulus concept, the problem is reduced to a first-order matrix differential equation with complex coefficients. Characteristic structural features of dispersion relations are studied both analytically and numerically. An asymptotic analysis is performed for the low-frequency region.

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Authors and Affiliations

  1. Southern Federal University, ul. Bol’shaya Sadovaya 105, Rostov-on-Don, 344006, Russia

    A. O. Vatul’yan & V. O. Yurov

  2. Southern Mathematical Institute, ul. Markusa 22, Vladikavkaz, 362027, Russia

    A. O. Vatul’yan

Authors
  1. A. O. Vatul’yan
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  2. V. O. Yurov
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Correspondence to A. O. Vatul’yan.

Additional information

Original Russian Text © A.O. Vatul’yan, V.O. Yurov, 2017, published in Akusticheskii Zhurnal, 2017, Vol. 63, No. 4, pp. 339–348.

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Vatul’yan, A.O., Yurov, V.O. Dispersion properties of an inhomogeneous piezoelectric waveguide with attenuation. Acoust. Phys. 63, 369–377 (2017). https://doi.org/10.1134/S1063771017040133

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  • DOI: https://doi.org/10.1134/S1063771017040133

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