Theoretical researches on three-dimensional coda wave scattering problem

1995 ◽  
Vol 8 (1) ◽  
pp. 83-87 ◽  
Author(s):  
Yong-An Nie ◽  
Jian Zeng ◽  
De-Yi Feng
Keyword(s):  
Wave Scattering ◽  
Scattering Problem ◽  
Three Dimensional ◽  
Coda Wave

scholarly journals Analysis of a finite PML approximation to the three dimensional elastic wave scattering problem

2010 ◽  
Vol 79 (272) ◽  
pp. 2079-2079 ◽  
Author(s):  
James H. Bramble ◽  
Joseph E. Pasciak ◽  
Dimitar Trenev
Keyword(s):  
Elastic Wave ◽  
Wave Scattering ◽  
Scattering Problem ◽  
Three Dimensional ◽  
Elastic Wave Scattering

scholarly journals Modelling wave-induced sea ice break-up in the marginal ice zone

2017 ◽  
Vol 473 (2206) ◽  
pp. 20170258 ◽  
Author(s):  
F. Montiel ◽  
V. A. Squire
Keyword(s):  
Stress Field ◽  
Wave Scattering ◽  
Scattering Problem ◽  
Three Dimensional ◽  
Field Studies ◽  
Ocean Wave ◽  
Wave Forcing ◽  
Marginal Ice Zone ◽  
Break Up ◽  
Wave Induced

A model of ice floe break-up under ocean wave forcing in the marginal ice zone (MIZ) is proposed to investigate how floe size distribution (FSD) evolves under repeated wave break-up events. A three-dimensional linear model of ocean wave scattering by a finite array of compliant circular ice floes is coupled to a flexural failure model, which breaks a floe into two floes provided the two-dimensional stress field satisfies a break-up criterion. A closed-feedback loop algorithm is devised, which (i) solves the wave-scattering problem for a given FSD under time-harmonic plane wave forcing, (ii) computes the stress field in all the floes, (iii) fractures the floes satisfying the break-up criterion, and (iv) generates an updated FSD, initializing the geometry for the next iteration of the loop. The FSD after 50 break-up events is unimodal and near normal, or bimodal, suggesting waves alone do not govern the power law observed in some field studies. Multiple scattering is found to enhance break-up for long waves and thin ice, but to reduce break-up for short waves and thick ice. A break-up front marches forward in the latter regime, as wave-induced fracture weakens the ice cover, allowing waves to travel deeper into the MIZ.

Scattering of Guided Waves by Circumferential Cracks in Steel Pipes

2000 ◽  
Vol 68 (4) ◽  
pp. 619-631 ◽  
Author(s):  
H. Bai ◽  
A. H. Shah ◽  
N. Popplewell ◽  
S. K. Datta
Keyword(s):  
Wave Scattering ◽  
Guided Waves ◽  
Crack Depth ◽  
Scattering Problem ◽  
Three Dimensional ◽  
Numerical Procedure ◽  
Axial Direction ◽  
Computational Time ◽  
Steel Pipes ◽  
Transmission Coefficients

A novel numerical procedure is presented in this paper to study wave scattering problem by circumferential cracks in steel pipes. The study is motivated by the need to develop a quantitative ultrasonic technique to characterize properties of cracks in pipes. By employing wave function expansion in axial direction and decomposing the problem into a symmetry problem and an antisymmetry problem, a three-dimensional wave scattering problem is then reduced into two quasi-one-dimensional problems. This simplification greatly reduces the computational time. Numerical results for reflection and transmission coefficients of different incident wave modes are presented here for a steel pipe with cracks (may have arbitrary circumferential crack length and radial crack depth) and they are shown to agree quite closely with available but limited experimental data.

scholarly journals Imaging of bi-anisotropic periodic structures from electromagnetic near-field data

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Dinh-Liem Nguyen ◽  
Trung Truong
Keyword(s):  
Inverse Scattering ◽  
Maxwell Equations ◽  
Field Data ◽  
Periodic Structures ◽  
Near Field ◽  
Scattering Problem ◽  
Three Dimensional ◽  
Inverse Scattering Problem ◽  
Factorization Method ◽  
Unique Determination

AbstractThis paper is concerned with the inverse scattering problem for the three-dimensional Maxwell equations in bi-anisotropic periodic structures. The inverse scattering problem aims to determine the shape of bi-anisotropic periodic scatterers from electromagnetic near-field data at a fixed frequency. The factorization method is studied as an analytical and numerical tool for solving the inverse problem. We provide a rigorous justification of the factorization method which results in the unique determination and a fast imaging algorithm for the periodic scatterer. Numerical examples for imaging three-dimensional periodic structures are presented to examine the efficiency of the method.

Theory of Electron Diffraction by Crystals

1967 ◽  
Vol 22 (4) ◽  
pp. 422-431 ◽  
Author(s):  
Kyozaburo Kambe
Keyword(s):  
Integral Equation ◽  
Electron Diffraction ◽  
General Theory ◽  
Green’S Function ◽  
Green's Function ◽  
Scattering Problem ◽  
Three Dimensional ◽  
Two Dimensions ◽  
The Third ◽  
Third Dimension

A general theory of electron diffraction by crystals is developed. The crystals are assumed to be infinitely extended in two dimensions and finite in the third dimension. For the scattering problem by this structure two-dimensionally expanded forms of GREEN’S function and integral equation are at first derived, and combined in single three-dimensional forms. EWALD’S method is applied to sum up the series for GREEN’S function.

INTEGRABLE MODELS OF FIELD THEORY AND SCATTERING ON QUANTUM HYPERBOLOIDS

1992 ◽  
Vol 07 (05) ◽  
pp. 441-446 ◽  
Author(s):  
A. ZABRODIN
Keyword(s):  
Field Theory ◽  
Symmetric Space ◽  
Quantum Group ◽  
Wave Scattering ◽  
Scattering Problem ◽  
Free Particle ◽  
Compact Quantum Group ◽  
Integrable Models ◽  
S Wave

We consider the scattering of two dressed excitations in the antiferromagnetic XXZ spin-1/2 chain and show that it is equivalent to the S-wave scattering problem for a free particle on the certain quantum symmetric space “quantum hyperboloid” related to the non-compact quantum group SU q (1, 1).

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