Acoustic Waves in Perturbed Stratified Fluids
Author | : Matania Ben-Artzi |
Publisher | : |
Total Pages | : 78 |
Release | : 1987* |
Genre | : |
ISBN | : |
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Author | : Matania Ben-Artzi |
Publisher | : |
Total Pages | : 78 |
Release | : 1987* |
Genre | : |
ISBN | : |
Author | : Ricardo Weder |
Publisher | : Springer Science & Business Media |
Total Pages | : 196 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 1461244307 |
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.
Author | : Calvin H. Wilcox |
Publisher | : |
Total Pages | : 49 |
Release | : 1981 |
Genre | : |
ISBN | : |
Transient acoustic wave propagation is analyzed for the case of plane-stratified fluids having density rho(y) and sound speed c(y) at depth y. For infinite fluids it is assumed that the (in general discontinuous) functions rho(y), c(y) are uniformly positive and bounded and satisfy abs.val (rho(y) - rho(at infinity)) or = C(+ or - y) to the - alpha power, abs. val. (c(y) - c(at infinity)) or = C(+ or - y) to the - alpha power for + or - y 0, where alpha 3/2. Semi-infinite and finite layers are also treated. The acoustic potential is a solution of the wave equation del-squared u/del t-squared - c-squared(y) rho(y) del dot (1/rho(y)grad(u)) = f(t, x, y) where x = (x1,x2) are horizontal coordinates and f(t, x, y) characterizes the wave sources. The principal results of the analysis show that u is the sum of a free component, which behaves like a diverging spherical wave for large t, and a guided component which is approximately localized in regions abs. val. (y - y sub j)
Author | : Calvin H. Wilcox |
Publisher | : Springer Science & Business Media |
Total Pages | : 206 |
Release | : 2012-12-06 |
Genre | : Technology & Engineering |
ISBN | : 1461211247 |
Stratified fluids whose densities, sound speeds and other parameters are functions of a single depth coordinate occur widely in nature. Indeed, the earth's gravitational field imposes a stratification on its atmosphere, oceans and lakes. It is well known that their stratification has a profound effect on the propagation of sound in these fluids. The most striking effect is probably the occurrence of acoustic ducts, due to minima of the sound speed, that can trap sound waves and cause them to propagate hori zontally. The reflection, transmission and distortion of sonar signals by acoustic ducts is important in interpreting sonar echoes. Signal scattering by layers of microscopic marine organisms is important to both sonar engi neers and marine biologists. Again, reflection of signals from bottom sediment layers overlying a penetrable bottom are of interest both as sources of unwanted echoes and in the acoustic probing of such layers. Many other examples could be given. The purpose of this monograph is to develop from first principles a theory of sound propagation in stratified fluids whose densities and sound speeds are essentially arbitrary functions of the depth. In physical terms, the propagation of both time-harmonic and transient fields is analyzed. The corresponding mathematical model leads to the study of boundary value problems for a scalar wave equation whose coefficients contain the pre scribed density and sound speed functions.
Author | : Alexander G. Ramm |
Publisher | : Springer Science & Business Media |
Total Pages | : 207 |
Release | : 2013-06-29 |
Genre | : Mathematics |
ISBN | : 1489915524 |
Proceedings of Sessions from the First Congress of the International Society for Analysis, Applications and Computing held in Newark, Delaware, June, 2-, 1997
Author | : Israel Gohberg |
Publisher | : Birkhäuser |
Total Pages | : 472 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034879261 |
This volume is devoted to the life and work of the applied mathematician Professor Erhard Meister (1930-2001). He was a member of the editorial boards of this book series Operator The ory: Advances and Applications as well as of the journal Integral Equations and Operator Theory, both published by Birkhauser (now part of Springer-Verlag). Moreover he played a decisive role in the foundation of these two series by helping to establish contacts between Birkhauser and the founder and present chief editor of this book series after his emigration from Moldavia in 1974. The volume is divided into two parts. Part A contains reminiscences about the life of E. Meister including a short biography and an exposition of his professional work. Part B displays the wide range of his scientific interests through eighteen original papers contributed by authors with close scientific and personal relations to E. Meister. We hope that a great part of the numerous features of his life and work can be re-discovered from this book.
Author | : M. Kelbert |
Publisher | : Springer |
Total Pages | : 248 |
Release | : 1996-02-29 |
Genre | : Science |
ISBN | : |
This book represents a comprehensive treatment of both classical and modern problems of pulse propagation. The authors provide a physical insight in the intriguing problem of pulse propagation in non-equilibrium media (unstable or admitting attenuation). A refined analysis of the acoustic-gravity waves generation in a compressible stratified fluid is also presented. The solution describes sophisticated wave pictures near the front of the perturbation where previously known methods fail. Finally a detailed account of a relatively new field of investigation related to continuous spectrum waves in shear flows is given. Audience: This volume will be of use to researchers and scientists with a background in wave motion, fluid mechanics and calculus including elementary aspects of asymptotic methods. A major source of information for academians specialized in acoustics, hydrodynamics and geophysics.
Author | : |
Publisher | : |
Total Pages | : 5 |
Release | : 2010 |
Genre | : |
ISBN | : |
Using regular perturbation analysis, we investigate the propagation of a time-harmonic acoustic signal, generated by a sinusoidal boundary condition, in a half-space filled with a classical thermoviscous fluid. It is assumed that the flow is described by a recently introduced, weakly nonlinear partial differential equation (PDE) that, unlike earlier models, exhibits a Hamiltonian structure in the lossless limit.
Author | : Dittrich Jaroslav |
Publisher | : #N/A |
Total Pages | : 344 |
Release | : 1991-07-22 |
Genre | : |
ISBN | : 9814556556 |
The proceedings of the conference is devoted mainly to the mathematically rigorous approaches to the problems of quantum mechanics. The spectral properties of Schrödinger operators, including those on regions with a boundary and their generalizations, scattering theory and resonances, time-dependent Hamiltonians and quantum chaos, problems of statistical physics like spin systems, and others are discussed.
Author | : |
Publisher | : |
Total Pages | : 752 |
Release | : 2006 |
Genre | : Differential equations |
ISBN | : |