Spectral and Scattering Theory for Wave Propagation in Perturbed Stratified Media

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Release : 2012-12-06
Genre : Science
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Book Rating : 307/5 ( reviews)

Spectral and Scattering Theory for Wave Propagation in Perturbed Stratified Media - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Spectral and Scattering Theory for Wave Propagation in Perturbed Stratified Media write by Ricardo Weder. This book was released on 2012-12-06. Spectral and Scattering Theory for Wave Propagation in Perturbed Stratified Media available in PDF, EPUB and Kindle. The propagation of acoustic and electromagnetic waves in stratified media is a subject that has profound implications in many areas of applied physics and in engineering, just to mention a few, in ocean acoustics, integrated optics, and wave guides. See for example Tolstoy and Clay 1966, Marcuse 1974, and Brekhovskikh 1980. As is well known, stratified media, that is to say media whose physical properties depend on a single coordinate, can produce guided waves that propagate in directions orthogonal to that of stratification, in addition to the free waves that propagate as in homogeneous media. When the stratified media are perturbed, that is to say when locally the physical properties of the media depend upon all of the coordinates, the free and guided waves are no longer solutions to the appropriate wave equations, and this leads to a rich pattern of wave propagation that involves the scattering of the free and guided waves among each other, and with the perturbation. These phenomena have many implications in applied physics and engineering, such as in the transmission and reflexion of guided waves by the perturbation, interference between guided waves, and energy losses in open wave guides due to radiation. The subject matter of this monograph is the study of these phenomena.

Spectral and Scattering Theory for Wave Propagation in Perturbed Stratified Media

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Release : 1993
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Spectral and Scattering Theory for Wave Propagation in Perturbed Stratified Media - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Spectral and Scattering Theory for Wave Propagation in Perturbed Stratified Media write by Anne Boutet de Monvel-Berthier. This book was released on 1993. Spectral and Scattering Theory for Wave Propagation in Perturbed Stratified Media available in PDF, EPUB and Kindle.

Wave Propagation and Scattering in Random Media

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Release : 2013-06-11
Genre : Science
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Book Rating : 323/5 ( reviews)

Wave Propagation and Scattering in Random Media - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Wave Propagation and Scattering in Random Media write by Akira Ishimaru. This book was released on 2013-06-11. Wave Propagation and Scattering in Random Media available in PDF, EPUB and Kindle. Wave Propagation and Scattering in Random Media, Volume 1: Single Scattering and Transport Theory presents the fundamental formulations of wave propagation and scattering in random media in a unified and systematic manner, as well as useful approximation techniques applicable to a variety of different situations. The emphasis is on single scattering theory and transport theory. The reader is introduced to the fundamental concepts and useful results of the statistical wave propagation theory. This volume is comprised of 13 chapters, organized around three themes: waves in random scatterers, waves in random continua, and rough surface scattering. The first part deals with the scattering and propagation of waves in a tenuous distribution of scatterers, using the single scattering theory and its slight extension to explain the fundamentals of wave fluctuations in random media without undue mathematical complexities. Many practical problems of wave propagation and scattering in the atmosphere, oceans, and other random media are discussed. The second part examines transport theory, also known as the theory of radiative transfer, and includes chapters on wave propagation in random particles, isotropic scattering, and the plane-parallel problem. This monograph is intended for engineers and scientists interested in optical, acoustic, and microwave propagation and scattering in atmospheres, oceans, and biological media.

The Topology of 4-Manifolds

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Release : 2006-11-14
Genre : Mathematics
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Book Rating : 71X/5 ( reviews)

The Topology of 4-Manifolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Topology of 4-Manifolds write by Robion C. Kirby. This book was released on 2006-11-14. The Topology of 4-Manifolds available in PDF, EPUB and Kindle. This book presents the classical theorems about simply connected smooth 4-manifolds: intersection forms and homotopy type, oriented and spin bordism, the index theorem, Wall's diffeomorphisms and h-cobordism, and Rohlin's theorem. Most of the proofs are new or are returbishings of post proofs; all are geometric and make us of handlebody theory. There is a new proof of Rohlin's theorem using spin structures. There is an introduction to Casson handles and Freedman's work including a chapter of unpublished proofs on exotic R4's. The reader needs an understanding of smooth manifolds and characteristic classes in low dimensions. The book should be useful to beginning researchers in 4-manifolds.

Analysis and Simulation of Chaotic Systems

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Release : 2013-03-09
Genre : Mathematics
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Book Rating : 753/5 ( reviews)

Analysis and Simulation of Chaotic Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Analysis and Simulation of Chaotic Systems write by Frank C. Hoppensteadt. This book was released on 2013-03-09. Analysis and Simulation of Chaotic Systems available in PDF, EPUB and Kindle. Analysis and Simulation of Chaotic Systems is a text designed to be used at the graduate level in applied mathematics for students from mathematics, engineering, physics, chemistry and biology. The book can be used as a stand-alone text for a full year course or it can be heavily supplemented with material of more mathematical, more engineering or more scientific nature. Computations and computer simulations are used throughout this text to illustrate phenomena discussed and to supply readers with probes to use on new problems.