Application of the TFQMR Method to the Analysis of PEC Target Scattering Problem in a Lossy Half Space

2010 ◽  
Author(s):  
Li Qing-bo ◽  
Zhou Ping ◽  
Sun Hui-ling
Keyword(s):  
Half Space ◽  
Scattering Problem

scholarly journals Buried Object Detection by an Inexact Newton Method Applied to Nonlinear Inverse Scattering

2012 ◽  
Vol 2012 ◽  
pp. 1-7 ◽  
Author(s):  
Matteo Pastorino ◽  
Andrea Randazzo
Keyword(s):  
Numerical Simulations ◽  
Half Space ◽  
Inverse Scattering ◽  
Scattering Problem ◽  
Inverse Scattering Problem ◽  
Continuous Model ◽  
Inexact Newton Method ◽  
Buried Objects ◽  
Buried Object ◽  
Full Nonlinearity

An approach to reconstruct buried objects is proposed. It is based on the integral equations of the electromagnetic inverse scattering problem, written in terms of the Green’s function for half-space geometries. The full nonlinearity of the problem is exploited in order to inspect strong scatterers. After discretization of the continuous model, the resulting equations are solved in a regularization sense by means of a two-step inexact Newton algorithm. The capabilities and limitations of the method are evaluated by means of some numerical simulations.

scholarly journals Inverse acoustic scattering problem in half-space with anisotropic random impedance

2017 ◽  
Vol 262 (4) ◽  
pp. 3139-3168 ◽  
Author(s):  
Tapio Helin ◽  
Matti Lassas ◽  
Lassi Päivärinta
Keyword(s):  
Half Space ◽  
Scattering Problem ◽  
Acoustic Scattering

Analytical solution to the SH wave scattering problem caused by a circular cavity in a half space with inhomogeneous modulus

Meccanica ◽  
2021 ◽  
Vol 56 (3) ◽  
pp. 705-709
Author(s):  
Jinlai Bian ◽  
Zailin Yang ◽  
Guanxixi Jiang ◽  
Yong Yang ◽  
Menghan Sun
Keyword(s):  
Analytical Solution ◽  
Half Space ◽  
Wave Scattering ◽  
Scattering Problem ◽  
Circular Cavity ◽  
Sh Wave

scholarly journals Surface Motion of a Half-Space Containing an Elliptical-Arc Canyon under Incident SH Waves

Mathematics ◽  
2020 ◽  
Vol 8 (11) ◽  
pp. 1884
Author(s):  
Hui Qi ◽  
Fuqing Chu ◽  
Jing Guo ◽  
Runjie Yang
Keyword(s):  
Wave Function ◽  
Half Space ◽  
Wave Scattering ◽  
Scattering Problem ◽  
Expansion Method ◽  
Numerical Results ◽  
Mathieu Function ◽  
Axis Ratio ◽  
Function Expansion ◽  
Wave Function Expansion Method

The existence of local terrain has a great influence on the scattering and diffraction of seismic waves. The wave function expansion method is a commonly used method for studying terrain effects, because it can reveal the physical process of wave scattering and verify the accuracy of numerical methods. An exact, analytical solution of two-dimensional scattering of plane SH (shear-horizontal) waves by an elliptical-arc canyon on the surface of the elastic half-space is proposed by using the wave function expansion method. The problem of transforming wave functions in multi-ellipse coordinate systems was solved by using the extra-domain Mathieu function addition theorem, and the steady-state solution of the SH wave scattering problem of elliptical-arc depression terrain was reduced to the solution of simple infinite algebra equations. The numerical results of the solution are obtained by truncating the infinite equation. The accuracy of the proposed solution is verified by comparing the results obtained when the elliptical arc-shaped depression is degraded into a semi-ellipsoidal depression or even a semi-circular depression with previous results. Complicated effects of the canyon depth-to-span ratio, elliptical axis ratio, and incident angle on ground motion are shown by the numerical results for typical cases.

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