Dispersion properties of an inhomogeneous piezoelectric waveguide with attenuation
- Authors: Vatul’yan A.O.1,2, Yurov V.O.1
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Affiliations:
- Southern Federal University
- Southern Mathematical Institute
- Issue: Vol 63, No 4 (2017)
- Pages: 369-377
- Section: Classical Problems of Linear Acoustics and Wave Theory
- URL: https://journals.rcsi.science/1063-7710/article/view/186160
- DOI: https://doi.org/10.1134/S1063771017040133
- ID: 186160
Cite item
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.
About the authors
A. O. Vatul’yan
Southern Federal University; Southern Mathematical Institute
Author for correspondence.
Email: vatulyan@math.rsu.ru
Russian Federation, ul. Bol’shaya Sadovaya 105, Rostov-on-Don, 344006; ul. Markusa 22, Vladikavkaz, 362027
V. O. Yurov
Southern Federal University
Email: vatulyan@math.rsu.ru
Russian Federation, ul. Bol’shaya Sadovaya 105, Rostov-on-Don, 344006
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