Scattering by Obstacles of Finite Capacity

Acoustic Scattering by Inhomogeneous Obstacles

Acoustic scattering problems are considered when the material parameters (density and speed of sound) are functions of position within a bounded region. An integro-differential equation for the pressure in this region is obtained. It is proved that solving this equation is equivalent to solving the scattering problem. Problems of this kind are often solved by regarding the effects of the inhomo...

Scattering by Obstacles in Acoustic Waveguides

We study the scattering of acoustic waves by an obstacle embedded in a uniform waveguide with planar boundaries, which is a fundamental model in shallow ocean acoustics. Under certain geometric assumptions on the shape of the obstacle, we prove a Rellichtype uniqueness theorem in the case of soft obstacles. The solvability of the scattering problem is proved via boundary integral equations and ...

An analysis of electromagnetic scattering from finite-width strips

Dynamics of classical wave scattering by small obstacles.

A causality problem in the time-dependent scattering of classical waves from point scatterers is pointed out and analyzed. Based on an alternative model, the leading pole approximation of the exact scattering matrix of the square-well potential, transparent expressions for the time- and position-dependent Green function in a disordered medium are derived.

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...