Wave scattering by objects that are small compared to the wavelength (Rayleigh scattering) is usually studied for plane incident waves. However, knowledge of the full Green's function of the problem becomes necessary when the separation of scatterers from either an interface or each other is comparable to the scatterers' dimensions. Here, an elementary analytic solution is derived for diffracti...

Using a simple nite integral representation for the bivari-ate Rayleigh cumulative distribution function recently discovered by the authors, we present expressions for the out-age probability and average error probability performances of a dual selective diversity system with correlated slow Rayleigh fading either in closed form (in particular for binary diierential phase-shift keying) or in te...

2014 In this article, we report the measurement and analysis of the climbing velocity of an isolated dislocation in a Rayleigh-Bénard roll structure of large extension, as a function of the wavenumber and of the Rayleigh number. The motion of this dislocation in the otherwise regular structure is found to be a wavenumber selection mechanism. Further, we compare this mechanism with that provided...

We present a numerical study of Rayleigh-Bénard convection disturbed by a longitudinal wind. Our results show that under the action of the wind, the vertical heat flux through the cell initially decreases, due to the mechanism of plume sweeping, and then increases again when turbulent forced convection dominates over the buoyancy. As a result, the Nusselt number is a nonmonotonic function of th...

We analyze low field hysteresis close to the demagnetized state in disordered ferromagnets using the zero temperature random-field Ising model. We solve the demagnetization process exactly in one dimension and derive the Rayleigh law of hysteresis. The initial susceptibility a and the hysteretic coefficient b display a peak as a function of the disorder width. This behavior is confirmed by nume...

A new lifetime distribution with two parameters, known as the sine half-logistic inverse Rayleigh distribution, is proposed and studied an extension of model. The model a extension. In application section, we show that more flexible than distributions. statistical properties are calculated, including quantile function, moments, moment generating incomplete moment, Lorenz Bonferroni curves. Entr...

For the analysis and design of multielement antenna systems in mobile fading channels, we need a model for the space-time cross correlation among the links of the multiple-input multipleoutput (MIMO) channel. In this paper we propose a general space-time cross correlation function for narrowband Rayleigh fading MIMO channels, where various parameters of interest such as angle spreads at the bas...

A highly diluted suspension of red blood cells (hematocrit 0.01) was illuminated with an Ar or a dye laser in the wavelength range of 458-660 nm. The extinction and the angle-resolved intensity of scattered light were measured and compared with the predictions of Mie theory, the Rayleigh-Gans approximation, and the anomalous diffraction approximation. Furthermore, empirical phase functions were...

This paper presents analytical solutions for the performance of a single relay aided amplify-and-forward (AF) direct sequence code division multiple access (DS-CDMA) system over Rayleigh/Nakagami-m fading channels. The source-destination channel is assumed to be Rayleigh distributed while relay-destination link is Nakagami-m distributed. First, a cumulative distribution function (CDF) is derive...