An asymptotic theory for internal reflection in weakly inhomogeneous elastic waveguides

DOI10.1016/j.wavemoti.2004.06.001zbMath1189.74067OpenAlexW2079872704WikidataQ57574094 ScholiaQ57574094MaRDI QIDQ981539

Maria V. Perel, Julius D. Kaplunov, Graham A. Rogerson

Publication date: 1 July 2010

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2004.06.001

zbMATH Keywords

matched asymptotic expansionscut-off frequencyinhomogeneous waveguidecoupled elastic modesdegeneration of modes

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Wave scattering in solid mechanics (74J20)

Related Items

Adiabatic asymptotics of reflection coefficients of a quantum electron moving in a two-dimensional waveguide, The Helmholtz problem in slowly varying waveguides at locally resonant frequencies, Lamb wave propagation in elastic waveguides with variable thickness, Wave interaction resonance in weakly inhomogeneous nonlinear elastic material, Modes transformation for a Schroedinger type equation: avoided and unavoidable level crossings

Cites Work

• Linear turning point theory
• On the completeness of Lamb modes
• Propagation of surface waves concentrated near rays in an inhomogeneous elastic body of arbitrary shape
• Rayleigh wave propagation in curved waveguides
• Linear Elastic Waves
• Direct asymptotic integration of the equations of transversely isotropic elasticity for a plate near cut-off frequencies
• Slot Coupling of Rectangular and Spherical Wave Guides
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