Effective propagation constants of a half space of distributed discrete scatterers with modified T-matrix approach

2002 ◽  
Author(s):  
Z.L. Wang ◽  
W. Ren ◽  
W.G. Lin
Keyword(s):  
Half Space ◽  
Matrix Approach ◽  
T Matrix

Ultrasonic Wave Scattering by a Subsurface Flaw in Joined Fluid-Solid Half Spaces

1983 ◽  
Vol 50 (4a) ◽  
pp. 802-806 ◽  
Author(s):  
V. V. Varadan ◽  
T. A. K. Pillai ◽  
V. K. Varadan
Keyword(s):  
Half Space ◽  
Wave Scattering ◽  
Asymptotic Form ◽  
Finite Depth ◽  
Elastic Half Space ◽  
Matrix Approach ◽  
Oblate Spheroidal ◽  
T Matrix ◽  
Scattered Fields ◽  
Spherical Voids

The scattering of waves by a flaw (cavity or inclusion) that is embedded in an elastic half space at a finite depth below the interface with a fluid half space is studied using the T-matrix approach. Expressions are derived for the scattered fields generated in the fluid and solid half spaces as well as the asymptotic form of the field in the fluid at a large distance from the interface. Numerical results are presented for spherical voids and steel inclusions embedded in epoxy as well as oblate spheroidal voids in a metal for various flaw depths, scattering geometries, and frequency of the incident wave. The results obtained by keeping different orders of multiple scattering between the flaw and the interface are critically discussed.

scholarly journals Self-consistent T-matrix approach to Bose-glass in one dimension

2016 ◽  
Vol 397 ◽  
pp. 11-19
Author(s):  
A.G. Yashenkin ◽  
O.I. Utesov ◽  
A.V. Sizanov ◽  
A.V. Syromyatnikov
Keyword(s):  
One Dimension ◽  
Matrix Approach ◽  
Self Consistent ◽  
Bose Glass ◽  
T Matrix

The T‐matrix approach for scattering by a traction‐free periodic rough surface

1984 ◽  
Vol 76 (6) ◽  
pp. 1839-1846 ◽  
Author(s):  
A. Lakhtakia ◽  
V. K. Varadan ◽  
V. V. Varadan ◽  
D. J. N. Wall
Keyword(s):  
Rough Surface ◽  
Matrix Approach ◽  
T Matrix

A T-matrix approach for EM scattering by a perfectly conducting periodic surface

1985 ◽  
Vol 73 (7) ◽  
pp. 1238-1239 ◽  
Author(s):  
A. Lakhtakia ◽  
V.K. Varadan ◽  
V.V. Varadan
Keyword(s):  
Matrix Approach ◽  
Em Scattering ◽  
Periodic Surface ◽  
T Matrix

The Transition Matrix Formalism for the Scattering of an Alluvium on an Elastic Half-Space

2007 ◽  
Author(s):  
Wen-I Liao ◽  
Tsung-Jen Teng ◽  
Shiang-Jung Wang
Keyword(s):  
Half Space ◽  
Transition Matrix ◽  
Plane Waves ◽  
Three Dimensional ◽  
Scattering Matrix ◽  
Elastic Half Space ◽  
Basis Functions ◽  
Matrix Formalism ◽  
T Matrix ◽  
Singular Wave

This paper develops the transition matrix formalism for scattering from an three-dimensional alluvium on an elastic half-space. Betti’s third identity is employed to establish orthogonality conditions among basis functions that are Lamb’s singular wave functions. The total displacements and associated tractions exterior and interior to the surface are expanded in a Rayleigh series. The boundary conditions are applied and the T-matrix is derived. A linear transformation is utilized to construct a set of orthogonal basis functions. The transformed T-matrix is related to the scattering matrix and it is shown that the scattering matrix is symmetric and unitary and that the T-matrix is symmetric. Typical numerical results obtained by incident plane waves for verification are presented.

Computation of rigid body scattering by spheroids and finite cylinders using T‐matrix approach

1980 ◽  
Vol 68 (S1) ◽  
pp. S80-S80
Author(s):  
V. K. Varadan ◽  
V. V. Varadan ◽  
T. A. K. Pillai ◽  
L. R. Dragonette ◽  
L. Flax
Keyword(s):  
Rigid Body ◽  
Matrix Approach ◽  
T Matrix ◽  
Finite Cylinders
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