We study the asymptotic behavior of Bohmian trajectories in a scattering situation with short range potential V and for wave functions Ψ = Ψ + Ψ ∈ L(R) with a scattering and a bound part. It is shown that the set of possible trajectories splits into trajectories whose long time behavior is governed by the scattering part Ψ of the wave function (scattering trajectories) and trajectories whose lo...

Surface wave scattering theory is presented as a new method for analyzing teleseismic surface wave data. Using surface wave scattering integrals the effect of lateral heterogeneity both on the surface wave coda generation and on the direct surface wave is described. Since the employed scattering theory for the forward problem is linear, the inverse problem can conveniently be solved in the leas...

In this paper, the scattering of a plane monochromatic electromagnetic wave from a nanowire with circular cross-section in the transverse electric (TE) mode is simulated using the well-known Stratton-Chu surface integral equations. For an ordinary dielectric nanowire the refraction phenomenon is nicely simulated. In the case of a plasmonic nanowire no sign of surface plasmon excitation and prop...

The inverse scattering problem on the line is studied for the generalized Schrodinger equation (d* f/V&*) + @H(X)* fi= Q(X) $, where H(x) is a positive, piecewise continuous function with positive limits H, as x --+ 2~. This equation, in the frequency domain, describes the wave propagation in a nonhomogeneous medium, where Q(X) is the restoring force and l/H(x) is the variable wave speed changi...

We demonstrate that scattering of particles strongly interacting in three dimensions (3D) can be suppressed at low energies in a quasi-one-dimensional (1D) confinement. The underlying mechanism is the interference of the s- and p-wave scattering contributions with large s- and p-wave 3D scattering lengths being a necessary prerequisite. This low-dimensional quantum scattering effect might be us...

This paper presents a theoretical analysis of the recently reported observation of acoustic stop bands in two-dimensional scattering arrays [Robertson and Rudy, J. Acoust. Soc. Am. 104, 694 (1998)]. A self-consistent wave scattering theory, incorporating all orders of multiple scattering, is used to obtain the wave transmission. The band structures for the regular arrays of cylinders are comput...

The scattering characteristic of paraxial gaussian beam from two dimensional dielectric rough surfaces is studied in this paper. The modification of the Kirchhoff approximation theory for rough surface scattering by an incident gaussian beam instead of a plane wave are developed based on conventional Kirchhoff scattering theory and plane wave spectrum expansion method. The coherent and incohere...

Future ultrafast x-ray light sources might image ultrafast coherent electron motion in real space and in real time. For a rigorous understanding of such an imaging experiment, we extend the theory of nonresonant x-ray scattering to the time domain. The role of energy resolution of the scattering detector is investigated in detail. We show that time-resolved nonresonant x-ray scattering with no ...