Reflection and refraction from a vertical layer of surface SH waves radiated from a point source on a boundary free of tensions

2012 ◽  
Vol 185 (4) ◽  
pp. 596-604
Author(s):  
N. Ya. Kirpichnikova ◽  
A. S. Kirpichnikova
Keyword(s):  
Point Source ◽  
Vertical Layer ◽  
Sh Waves ◽  
Reflection And Refraction

SH waves due to a point source in an inhomogeneous medium

1984 ◽  
Vol 19 (1) ◽  
pp. 53-60 ◽  
Author(s):  
A. Chattopadhyay ◽  
A.K. Pal ◽  
M. Chakraborty
Keyword(s):  
Point Source ◽  
Inhomogeneous Medium ◽  
Sh Waves

Imaging reflections in elliptically anisotropic media

Geophysics ◽  
1988 ◽  
Vol 53 (12) ◽  
pp. 1616-1618 ◽  
Author(s):  
Joe Dellinger ◽  
Francis Muir
Keyword(s):  
Point Source ◽  
Isotropic Medium ◽  
Short Note ◽  
Transversely Isotropic ◽  
Anisotropic Media ◽  
Virtual Image ◽  
Transversely Isotropic Medium ◽  
Sh Waves ◽  
Special Case

In an isotropic medium, waves reflected from a mirror form a virtual image of their source. This property of planar reflectors is generally not true in the presence of anisotropy. In their short note, Blair and Korringa (1987) show that for the special case of SH waves from a point source in a transversely isotropic medium, an aberration‐free image is formed for any orientation of the mirror. While their proof is mathematical, we show the same result in an intuitive, pictorial fashion and in the process discover that although the image is indeed aberration free, it is still distorted.

Effect of point source and heterogeneity on the propagation of SH-Waves in a viscoelastic layer over a viscoelastic half space

2011 ◽  
Vol 60 (1) ◽  
pp. 119-139 ◽  
Author(s):  
Amares Chattopadhyay ◽  
Shishir Gupta ◽  
Pato Kumari ◽  
Vikash K. Sharma
Keyword(s):  
Point Source ◽  
Half Space ◽  
Viscoelastic Layer ◽  
Sh Waves

Reflection and refraction of SH waves in presence of slip and friction

1978 ◽  
Vol 68 (4) ◽  
pp. 999-1011
Author(s):  
Eugene L. Chez ◽  
J. Dundurs ◽  
Maria Comninou
Keyword(s):  
Elastic Waves ◽  
Mixed Boundary ◽  
Mechanical Energy ◽  
Applied Pressure ◽  
Mixed Boundary Conditions ◽  
Sliding Velocity ◽  
Sh Waves ◽  
Sliding Motion ◽  
Reflection And Refraction ◽  
Incident Waves

abstract The reflection of elastic waves is customarily treated by assuming that the interface neither separates nor slips. This paper considers the reflection of SH waves that are strong enough to break friction between two solids which are pressed together, so that localized slip takes place. It is also assumed that the solids are sheared, which enhances slip in one direction and leads to a global sliding motion. The problem might at first appear as forbidding because of the mixed boundary conditions and the inequalities involved. It is discovered, however, that it can be solved in closed form for angles of incidence that avoid total reflection. The global sliding velocity, the sizes of the slip zones, and the rate at which mechanical energy is dissipated are displayed in terms of the independent variables involving the amplitude of the incident waves, and the applied pressure and shearing tractions.

A method for determining the optimal discretization of UV lamps for emission-based fluence rate models

2015 ◽  
Vol 71 (12) ◽  
pp. 1768-1774 ◽  
Author(s):  
Colin Powell ◽  
Yuri Lawryshyn
Keyword(s):  
Point Source ◽  
Dose Distribution ◽  
Optimal Number ◽  
Multiple Point ◽  
Fluence Rate ◽  
Dose Calculations ◽  
Rate Model ◽  
Reflection And Refraction ◽  
Optimal Discretization ◽  
Uv Lamps

A method for optimizing the number of segment sources needed to discretize UV lamps for fluence rate modeling and dose calculations when using the multiple segment source summation (MSSS) fluence rate model (FRM) is presented. An ideal location for determining the optimal number of point or segment sources was found using the multiple point source summation (MPSS) method with no reflection and refraction. This location was then used to conduct a fast discretization study for the MSSS FRM. A lower than previously used number of segment sources was required. This method reduced the time needed to perform a discretization study and thus for fluence rate and dose distribution calculations in UV reactors.

A comparative analysis (real-time data and theoretical results) for propagation of SH waves in a viscoelastic model influenced by a point source

2018 ◽  
Vol 24 (8) ◽  
pp. 2458-2477 ◽  
Author(s):  
Shishir Gupta ◽  
Smita ◽  
Snehamoy Pramanik ◽  
Abhijit Pramanik
Keyword(s):  
Point Source ◽  
Dispersion Equation ◽  
Half Space ◽  
Fourier Transformation ◽  
Viscoelastic Model ◽  
Classical Equation ◽  
Viscoelastic Layer ◽  
Time Data ◽  
Sh Waves ◽  
Theoretical Results

The propagation of SH waves in a heterogeneous viscoelastic layer lying over a heterogeneous viscoelastic half space from a point source is examined analytically. The significance of the heterogeneity of hyperbolic and exponential variations associated with rigidity, viscosity, and density is investigated mathematically. A dispersion equation and displacement components are computed in a compact form, considering the case that displacement and stress are continuous at the interface and stress vanishes on a free surface. The acquired dispersion equation signifies the relation between phase velocity and dimensionless wavenumber. The dispersion equation is highly influenced by heterogeneous parameters of both the layer and the half space. The dispersion equation is reduced to the classical equation of the Love wave after eliminating all the heterogeneous parameters, in agreement with pre-established results. The analysis uses the technique of Fourier transformation and Green’s function. The wavenumber is supposed to be complex, as the frequency is fixed in the viscoelastic model. Graphs are presented to demonstrate the effect of heterogeneous parameters on phase and damping velocity with respect to wavenumber.

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