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...

In the theory of resonant scattering, the double differential cross section involves the computation of a multifold integral of a 4-point correlation function, which generalizes the traditional 2-point correlation function of Van-Hove for potential scattering. In the case of a neutron-crystal interaction, the numerical computation of these multifold integrals is cumbersome. In this paper, a new...

The estimation of the scattering function in time-frequency selective fading mobile environment is considered. The scattering function explicitly reveals the time-frequency selective behavior of the fading channel under the well-known WSSUS assumption. We propose two classes of estimators based on a time-frequency framework that generalize the existing estimators while giving an extra freedom a...

The polarization-resolved electric field autocorrelation function for p-order scattering was derived from the order-of-scattering solution of the exact equations for electromagnetic multiple Rayleigh scattering and was calculated for 2 </= p </= 6 for particles undergoing diffusive motion in an idealized sample cell. It was found that the polarization-channel and the scattering-angle dependence...

Some experimental implications of the recent progress on wave function collapse are calculated. Exact results are derived for the center-of-mass wave function collapse caused by random scatterings and applied to a range of speciic examples. The results show that recently proposed experiments to measure the GRW eeect are likely to fail, since the eeect of naturally occurring scatterings is of th...

A special form of anisotropic scattering phase function is shown to provide an exact solution of the characteristic equation for radiation transfer at depth within a scattering and absorbing medium. The solution is the Henyey-Greenstein function, the degree of extension of which depends on the albedo for single scattering and on the parameter of the phase function. Good applicability of the for...

ABSTRACT. In many radar scenarios, the radar target or the medium is assumed to possess randomly varying parts. The properties of a target are described by a random process known as the spreading function. Its second order statistics under the WSSUS assumption are given by the scattering function. Recent developments in the operator identification theory suggest a channel sounding procedure tha...

Chapter 1. Kinematical electron diffraction 1.1 Electron wavelength 1.2 Plane wave representation of incident electron 1.3 Born approximation and single atom scattering 1.4 Fourier transformation 1.5 Scattering factor and charge density function 1.6 Single scattering theory 1.7 Reciprocal space and reciprocal lattice vector 1.8 Bragg's law and Ewald sphere 1.9 Abbe's imaging theory 1.10 Phase o...

According to vector scattering and scalar scattering theory, the relationship of BRDF (bidirectional reflectance distribution function) of light scattering from micro-rough surface with TIS (total integrated scattering) is analyzed. Roughness statistical characterization such as RMS (root mean square), PSD (power spectral density) function are deduced by TIS of polished surface. Based on the li...