On the dispersion relations for an inhomogeneous waveguide with attenuation
- Authors: Vatul’yan A.O.1, Yurlov V.O.2
-
Affiliations:
- South Federal University
- South Mathematical Institute
- Issue: Vol 51, No 5 (2016)
- Pages: 576-582
- Section: Article
- URL: https://journal-vniispk.ru/0025-6544/article/view/162737
- DOI: https://doi.org/10.3103/S0025654416050101
- ID: 162737
Cite item
Abstract
Some general laws concerning the structure of dispersion relations for solid inhomogeneous waveguides with attenuation are studied. An approach based on the analysis of a first-order matrix differential equation is presented in the framework of the concept of complex moduli. Some laws concerning the structure of components of the dispersion set for a viscoelastic inhomogeneous cylindrical waveguide are studied analytically and numerically, and the asymptotics of components of the dispersion set are constructed for arbitrary inhomogeneity laws in the low-frequency region.
About the authors
A. O. Vatul’yan
South Federal University
Author for correspondence.
Email: vatulyan@math.rsu.ru
Russian Federation, ul. Mil’chakova 8a, Rostov-on-Don, 344090
V. O. Yurlov
South Mathematical Institute
Email: vatulyan@math.rsu.ru
Russian Federation, ul. Markusa 22, Vladikavkaz, 362027
Supplementary files
