Numerical and Asymptotic Solutions of the Dispersion Equation for Dipolar Surface Waves Along a Magnetoplasma Column

1968 ◽  
Vol 39 (13) ◽  
pp. 6100-6102 ◽  
Author(s):  
G. L. Yip ◽  
S. R. Seshadri ◽  
J. L. Yen
Keyword(s):  
Surface Waves ◽  
Dispersion Equation ◽  
Asymptotic Solutions

Fundamental properties of surface waves in lossless stratified structures

2010 ◽  
Vol 466 (2120) ◽  
pp. 2447-2469 ◽  
Author(s):  
Guido Valerio ◽  
David R. Jackson ◽  
Alessandro Galli
Keyword(s):  
Surface Waves ◽  
Dispersion Equation ◽  
High Frequency ◽  
Low Frequency ◽  
Layered Structures ◽  
Graphical Solution ◽  
Fundamental Properties ◽  
The Past ◽  
Permittivity And Permeability ◽  
Constitutive Parameters

This paper is focused on dispersive properties of lossless planar layered structures with media having positive constitutive parameters (permittivity and permeability), possibly uniaxially anisotropic. Some of these properties have been derived in the past with reference to specific simple layered structures, and are here established with more general proofs, valid for arbitrary layered structures with positive parameters. As a first step, a simple application of the Smith chart to the relevant dispersion equation is used to prove that evanescent (or plasmonic-type) waves cannot be supported by layers with positive parameters. The main part of the paper is then focused on a generalization of a common graphical solution of the dispersion equation, in order to derive some general properties about the behaviour of the wavenumbers of surface waves as a function of frequency. The wavenumbers normalized with respect to frequency are shown to be always increasing with frequency, and at high frequency they tend to the highest refractive index in the layers. Moreover, two surface waves with the same polarization cannot have the same wavenumber at a given frequency. The low-frequency behaviours are also briefly addressed. The results are derived by means of a suitable application of Foster’s theorem.

scholarly journals Propagation of Torsional Surface Waves in a Nonhomogeneous Half-Space With Circular Irregularity in Free Surface

2018 ◽  
Vol 23 (4) ◽  
pp. 929-939
Author(s):  
M. Sethi ◽  
A.K. Sharma ◽  
A. Sharma
Keyword(s):  
Free Surface ◽  
Phase Velocity ◽  
Surface Waves ◽  
Dispersion Equation ◽  
Half Space ◽  
Analytical Solutions ◽  
Homogeneous Half Space ◽  
Depth Separation ◽  
Separation Of Variable ◽  
Torsional Surface Waves

Abstract The present paper studies the effect of circular regularity on propagation of torsional surface waves in an elastic non-homogeneous half-space. Both rigidity and density of the half-space are assumed to vary inversely linearly with depth. Separation of variable method has been used to get the analytical solutions for the dispersion equation of the torsional surface waves. Also, the effects of non-homogeneity and irregularity on the phase velocity of torsional surface waves have shown graphically.

Resonant surface waves

1973 ◽  
Vol 59 (2) ◽  
pp. 397-413 ◽  
Author(s):  
J. R. Ockendon ◽  
H. Ockendon
Keyword(s):  
Free Surface ◽  
Surface Waves ◽  
Small Amplitude ◽  
Asymptotic Solutions ◽  
Liquid Motion

Small amplitude forced horizontal or vertical oscillations of a container of liquid with a free surface may give rise to motions in the liquid on a scale much greater than the forcing amplitude. Three such situations are analysed and, in those cases where the response is still small compared with the dimensions of the container, explicit asymptotic solutions for the liquid motion are obtained.

Impact of losses on Love wave propagation in multilayered composite structures loaded with a Newtonian liquid

2020 ◽  
Vol 26 (23-24) ◽  
pp. 2221-2229
Author(s):  
Kiełczyński Piotr ◽  
Marek Szalewski ◽  
Andrzej Balcerzak ◽  
Krzysztof Wieja
Keyword(s):  
Surface Layer ◽  
Surface Wave ◽  
Surface Waves ◽  
Dispersion Equation ◽  
Composite Structures ◽  
Liouville Problem ◽  
Newtonian Liquid ◽  
Physical Parameters ◽  
Multilayered Composite ◽  
Complex Dispersion

In this study, we analyze theoretically and numerically the properties of Love surface waves propagating in lossy multilayered composite waveguides, loaded on the upper surface with a Newtonian liquid. The propagation of Love surface waves was formulated in terms of a direct Sturm–Liouville problem. An analytical form of the complex dispersion equation of the Love surface wave was derived using the Thomson–Haskell transfer matrix method. By separating the complex dispersion equation into its real and imaginary parts, we obtained a set of two nonlinear algebraic equations, which were subsequently solved numerically. The effect of various physical parameters of the lossy viscoelastic waveguide on the velocity and attenuation of the Love surface wave was then analyzed numerically. It was found that because of the presence of losses in the analyzed waveguide, Love surface waves displayed a number of new original phenomena, such as resonant-like maxima in attenuation as a function of thicknesses [Formula: see text] of the first viscoelastic surface layer and thickness [Formula: see text] of the second elastic surface layer. These phenomena are completely absent in lossless waveguides.

Pulsed discharges produced by surface waves

1998 ◽  
Vol 08 (PR7) ◽  
pp. Pr7-317-Pr7-326 ◽  
Author(s):  
O. A. Ivanov ◽  
A. M. Gorbachev ◽  
V. A. Koldanov ◽  
A. L. Kolisko ◽  
A. L. Vikharev
Keyword(s):  
Surface Waves ◽  
Pulsed Discharges

Magnetoacoustic surface waves in magnetic crystals near spin-reorientation phase transitions

1997 ◽  
Vol 167 (7) ◽  
pp. 735-750 ◽  
Author(s):  
Yurii V. Gulyaev ◽  
Igor E. Dikshtein ◽  
Vladimir G. Shavrov
Keyword(s):  
Phase Transitions ◽  
Surface Waves ◽  
Spin Reorientation
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