Ray methods for scattering of elastic waves by convex obstacles

A High Frequency Bem for Scattering by Non-convex Obstacles

Traditional numerical methods for time-harmonic acoustic scattering problems become prohibitively expensive in the high-frequency regime where the scatterer is large compared to the wavelength of the incident wave. In this paper we propose and analyse a hybrid boundary element method (BEM) for a class of non-convex polygonal scatterers. In this method the approximation space is enriched with os...

Acquiring molecular interference functions of X-ray coherent scattering for breast tissues by combination of simulation and experimental methods

Background: Recently, it has been indicated that X-ray coherent scatter from biological tissues can be used to access signature of tissue. Some scientists are interested in studying this effect to get early detection of breast cancer. Since experimental methods for optimization are time consuming and expensive, some scientists suggest using simulation. Monte Carlo (MC) codes are the best...

Identifying Scattering Obstacles by the Construction of Nonscattering Waves

There are many methods for identifying the shape and location of scatterers from far field data. We take the view that the connections between algorithms are more illuminating than their differences, particularly with regard to the Linear Sampling Method [7], the Point Source Method [26] and the MUSIC algorithm [11]. Using the first two techniques we show that, for a scatterer with Dirichlet bo...

Elastic scattering by finitely many point-like obstacles

This paper is concerned with the time-harmonic elastic scattering by a finite number N of pointlike obstacles in Rn (n = 2, 3). We analyze the N -point interactions model in elasticity and derive the associated Green’s tensor (integral kernel) in terms of the point positions and the scattering coefficients attached to them, following the approach in quantum mechanics for modeling N -particle in...

Inverse obstacle scattering for elastic waves