**Author**: Lev A. Chernov

**Publisher:** Courier Dover Publications

**ISBN:**

**Category:** Science

**Page:** 176

**View:** 910

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# Free eBooks PDF

## Wave Propagation in a Random Medium

Ground-breaking contribution to the literature, widely used by scientists, engineers, and students. Topics include theory of wave propagation in randomly inhomogeneous media, ray and wave theories of scattering at random inhomogeneities, more. 1960 edition.
## Wave Propagation and Scattering in Random Media

Wave Propagation and Scattering in Random Media, Volume 2, presents the fundamental formulations of wave propagation and scattering in random media in a unified and systematic manner. The topics covered in this book may be grouped into three categories: waves in random scatterers, waves in random continua, and rough surface scattering. Random scatterers are random distributions of many particles. Examples are rain, fog, smog, hail, ocean particles, red blood cells, polymers, and other particles in a state of Brownian motion. Random continua are the media whose characteristics vary randomly an ...
## On Wave Propagation in a Random Medium

## Wave Propagation in Random Media

A theory of multiple scattering of waves by a continuous random medium is developed. An exact solution of the scalar wave equation with random index is given by means of a functional space integration. Perturbation expansions and serveral approximation methods are studied. New results are given, some of which disagree with previous ones. Coupling between different wave modes and subsequent energy transfer are also considered.
## Wave Propagation and Scattering in Random Media

Wave Propagation and Scattering in Random Media, Volume 2, presents the fundamental formulations of wave propagation and scattering in random media in a unified and systematic manner. The topics covered in this book may be grouped into three categories: waves in random scatterers, waves in random continua, and rough surface scattering. Random scatterers are random distributions of many particles. Examples are rain, fog, smog, hail, ocean particles, red blood cells, polymers, and other particles in a state of Brownian motion. Random continua are the media whose characteristics vary randomly and continuously in time and space. Examples are clear air turbulence, jet engine exhaust, tropospheric and ionospheric turbulence, ocean turbulence, and biological media such as tissue and muscle. Rough surface examples are the ocean surface, planetary surfaces, interfaces between different biological media, and the surface roughness of an optical fiber. This book is intended for engineers and scientists interested in optical, acoustic, and microwave propagation and scattering in atmospheres, oceans, and biological media, and particularly for those involved in communication through such media and remote sensing of the characteristics of these media.
## Wave Propagation in a Random Medium

A simple technique has been used to derive statistical characterizations of the perturbations imposed upon a wave (plane, spherical or beamed) propagating through a random medium. The method is essentially physical rather than mathematical, and is probably equivalent to the Rytov method. The limitations of the method are discussed in some detail; in general they are restrictive only for optical paths longer than a few hundred meters, and for paths at the lower microwave frequencies. Situations treated include arbitrary path geometries, finite transmitting and receiving apertures, and anisotropic media. Results include, in addition to the usual statistical quantities, time-lagged functions, mixed functions involving amplitude and phase fluctuations, angle-of-arrival covariances, frequency covariances, and other higher-order quantities. (Author).
## Theoretical Topics in Wave Propagation in a Random Medium

Three aspects of wave propagation in a random medium are considered. The first is the scattering of a plane compressional wave by a spherical inhomogeneity of specified radius. This result is then averaged over a Rayleigh distribution of sphere radii. As a second topic, the scattering by a medium in which an elastic parameter varies randomly is considered. When the randomness is assumed to be described by a Gaussian correlation function, it is found that the frequency and angular dependence of the scattering is the same as that obtained in the previous calculation with the Rayleigh distribution when the average diameter of the spheres is set equal to the correlation distance appearing in the random medium. The third topic considered is the effect of the randomness on the focusing of the wave. The total incident sound field may be viewed as being composed of a sum of coherent field reflected from an object of interest and an incoherent field resulting from the scattering due to inhomogeneities in the surrounding medium. The fluctuations in the imaging of the incoherent field can be decreased by increasing the size of the receiving system and this dependence on receiver size will have been achieved when the receiver has been increased to a size equal to about twice the correlation length of the fluctuations in the incident field.
## Wave Propagation in a Random Medium

Ground-breaking contribution to the literature, widely used by scientists, engineers, and students. Topics include theory of wave propagation in randomly inhomogeneous media, ray and wave theories of scattering at random inhomogeneities, more. 1960 edition.
## Stochastic Wave Propagation

## The Effects of the Turbulent Atmosphere on Wave Propagation

## Radio Science

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Ionospheric radio wave propagation

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Engineering models

Atmospheric turbulence

Radio meteorology