On the dispersion relations for an inhomogeneous waveguide with attenuation |
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Authors: | A O Vatul’yan V O Yurlov |
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Institution: | 1.South Federal University,Rostov-on-Don,Russia;2.South Mathematical Institute,Vladikavkaz,Russia |
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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. |
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