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Reflection and Transmission of Plane SH-Waves Through an Anisotropic Magnetoelastic Layer Sandwiched Between Two Semi-Infinite Inhomogeneous Viscoelastic Half-Spaces

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Reflection and Transmission of Plane SH-Waves Through an Anisotropic Magnetoelastic Layer Sandwiched Between Two Semi-Infinite Inhomogeneous Viscoelastic Half-Spaces

Content Provider	Springer Nature Link
Author	Kumar, Santosh Pal, Prakash Chandra Majhi, Sabitri
Copyright Year	2015
Abstract	Reflection and transmission coefficients due to incident plane SH-waves at an anisotropic magnetoelastic layer sandwiched between two inhomogeneous viscoelastic half-spaces are obtained. The inhomogeneity in viscoelastic coefficients of the lower half-space is considered as quadratic, while that of the upper half-space is considered as exponential. The solutions for the layer and half-spaces are obtained analytically. The formulae for reflection and transmission coefficients are obtained for viscoelastic half-spaces subjected to continuity conditions of interfaces of an anisotropic magnetoelastic layer with viscoelastic half-spaces and Snell’s law. These coefficients are found to be the function of phase velocity, wave number, inhomogeneity, thickness of layer, and angle of incidence. Two special cases are considered. In case I, the problem is reduced to reflection and transmission in two viscoelastic half-spaces, whereas case II considers two isotropic half-spaces. Numerical computations are carried out for a specific model. The graphs are plotted for reflection and transmission coefficients against the angle of incidence and non-dimensional wave number for inhomogeneity parameters, the angle at which the wave crosses the magnetic field, the thickness of the layer, and frequency. In general, as the inhomogeneity parameter increases, the reflection and transmission coefficients decrease, while the angle at which the wave crosses the magnetic field, the thickness of the layer and frequency have systematic effects. The effect of angle of incidence on the reflection and transmission coefficients is not monotonic, but converges for an angle of incidence for all the parameters. Also, graphs are plotted for phase shift versus angle of incidence. The effects of inhomogeneity, the angle at which the wave crosses the magnetic field, thickness of the layer and frequency are considered. The phase shift exhibits a similar nature for these parameters.
Starting Page	2621
Ending Page	2634
Page Count	14
File Format	PDF
ISSN	00334553
Journal	Pure and applied geophysics
Volume Number	172
Issue Number	10
e-ISSN	14209136
Language	English
Publisher	Springer Basel
Publisher Date	2015-02-15
Publisher Place	Basel
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	SH-waves reflection and transmission coefficients anisotropic magnetoelastic medium Maxwell’s equation viscoelastic coefficient Geophysics/Geodesy
Content Type	Text
Resource Type	Article
Subject	Geochemistry and Petrology Geophysics

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