Journal ArticleDOI
The Multiple Scattering of Waves. I. General Theory of Isotropic Scattering by Randomly Distributed Scatterers
Reads0
Chats0
TLDR
In this article, the problem of multiple scattering of scalar waves by a random distribution of isotropic scatterers is considered in detail on the basis of a consistent wave treatment.Abstract:
While the problem of the multiple scattering of particles by a random distribution of scatterers has been treated classically through the use of the Boltzmann integro-differential equation, the corresponding problem of the multiple scattering of waves seems to have received scant attention. All previous treatments have considered the problem in the "geometrical optics" limit, where the rays are regarded as trajectories of particles and the treatment for particles is then applied, so that the interference phenomena in wave scattering are neglected. In this paper the problem of the multiple scattering of scalar waves by a random distribution of isotropic scatterers is considered in detail on the basis of a consistent wave treatment. The introduction of the concept of "randomness" requires averages to be taken over a statistical ensemble of scatterer configurations. Equations are derived for the average value of the wave function, the average value of the square of its absolute value, and the average flux carried by the wave. The second of these quantities satisfies an integral equation which has some similarities to the corresponding equation for particle scattering. The physical interpretation of the results is discussed in some detail and possible generalizations of the theory are outlined.read more
Citations
More filters
Journal ArticleDOI
Effective propagation constants for coherent electromagnetic wave propagation in media embedded with dielectric scatters
L. Tsang,J. A. Kong +1 more
TL;DR: In this paper, it was shown that the quasicrystalline approximation will give rise to negative attenuation rate indicating a growth of the coherent wave in space which is a nonphysical solution.
Journal ArticleDOI
Viscous Flow Past a Random Array of Spheres
TL;DR: The steady slow motion of a viscous fluid past a random, uniform array of identical nonoverlapping finite spheres is studied in this article, where the expected force F acting on any given sphere is obtained by averaging over the ensemble of possible positions of all other spheres.
Journal ArticleDOI
Fundamental studies of ultrasonic melt processing
Dmitry G. Eskin,Dmitry G. Eskin,Iakovos Tzanakis,Feng Wang,G S B Lebon,Tungky Subroto,Koulis Pericleous,Jiawei Mi +7 more
TL;DR: An extensive research programme into fundamental mechanisms of cavitation melt processing using state-of-the-art and unique facilities and methodologies is undertaken, providing valuable new insights and knowledge that are essential for upscaling ultrasonic melt processing to industrial level.
Journal ArticleDOI
Modeling tree effects on path loss in a residential environment
TL;DR: In this paper, a theoretical model is proposed to compute the path loss in a vegetated residential environment, with particular application to mobile radio systems, where rows of houses or blocks of buildings are viewed as diffracting cylinders lying on the Earth and the canopy of the trees is located adjacent to and above the houses/building.
Journal ArticleDOI
Multiple scattering of elastic waves in a fiber-reinforced composite
Ruey-Bin Yang,Ajit Mal +1 more
TL;DR: In this article, the propagation of elastic waves in a composite containing randomly distributed parallel fibers is studied. And the effective phase velocity and attenuation of the coherent waves are calculated for a wide range of frequencies and concentrations.