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Applied Mathematical Sciences: Sound Propagation in Stratified Fluids
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Applied Mathematical Sciences: Sound Propagation in Stratified Fluids - Paperback

1984, ISBN: 9780387909868

[ED: Taschenbuch / Paperback], [PU: Springer, Berlin], AUSFÜHRLICHERE BESCHREIBUNG: 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. INHALT: 1. Introduction.- 2. The Propagation Problems and Their Solutions.- 1. Summary.- 2. The Acoustic Propagator.- 3. Solutions with Finite Energy.- 3. Spectral Analysis of Sound Propagation in Stratified FluidS.- 1. Summary.- 2. The Reduced Propagator A?.- 3. Solutions of the Equation A?? = ??.- 4. Spectral Properties of A?.- 5. Generalized Eigenfunctions of A?.- 6. The Spectral Family of A?.- 7. The Dispersion Relations.- 8. The Spectral Family of A.- 9. Normal Mode Expansions for A.- 10. Semi-Infinite and Finite Layers.- 4. Transient Sound Field Structure in Stratified Fluids.- 1. Summary.- 2. Normal Mode Expansions of Transient Sound Fields.- 3. Transient Free Waves.- 4. Transient Guided Waves.- 5. Asymptotic Energy Distributions.- 6. Semi-Infinite and Finite Layers.- 5. Scattering of Signals by Inhomogeneous Layers.- 1. Summary.- 2. Signals in Homogeneous Fluids.- 3. The Reflected and Transmitted Signals.- 4. Construction of the Scattering Operator.- 5. The Scattering Operator and Signal Structure.- Appendix 1. The Weyl-Kodaira-Titchmarsh Theory.- Appendix 2. Stationary Phase Estimates of Oscillatory Integrals with Parameters.- References., [SC: 0.00], Neuware, gewerbliches Angebot, H: 235mm, B: 155mm, [GW: 670g]

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Sound Propagation in Stratified Fluids - Calvin H. Wilcox
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Calvin H. Wilcox:

Sound Propagation in Stratified Fluids - new book

ISBN: 9780387909868

ID: 4a0c1117af13c47227af70f9532be3d8

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. Bücher / Naturwissenschaften, Medizin, Informatik & Technik / Technik / Allgemeines & Lexika, [PU: Springer]

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Sound Propagation in Stratified Fluids - Calvin H. Wilcox
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Calvin H. Wilcox:
Sound Propagation in Stratified Fluids - Paperback

ISBN: 9780387909868

[ED: Taschenbuch], [PU: Springer], Neuware - 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. -, [SC: 0.00], Neuware, gewerbliches Angebot, 235x155x11 mm, [GW: 328g]

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Geometrodynamics Italian Physical Society Topics of Modern Physics Volume I (1) - Wheeler G A A
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Wheeler G A A:
Geometrodynamics Italian Physical Society Topics of Modern Physics Volume I (1) - First edition

1962, ISBN: 0387909869

Hardcover, ID: 18722387246

[EAN: 9780387909868], Gebraucht, guter Zustand, [PU: Academic Press, New York and London], PHYSICS, From an academic library with the usual stamps and labels. Both hinges slightly tender. Some general wear to the cloth covered boards. Text in English. xxiii, 334pp. This is a heavy book and we will request extra postage if ordered from outside the UK.

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Sound Propagation in Stratified Fluids - Calvin H Wilcox, Calvin H. Wilcox
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Sound Propagation in Stratified Fluids - new book

ISBN: 9780387909868

ID: 1001004006714148

Taal: Engels; Afmetingen: 12x236x159 mm; Gewicht: 299,00 gram; Verschijningsdatum: april 1984; ISBN10: 0387909869; ISBN13: 9780387909868; , Engelstalig | Paperback | 1984, Exacte wetenschappen, Wiskunde & Statistiek, Springer

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Details of the book
Sound Propagation in Stratified Fluids
Author:

Wilcox, Calvin H.

Title:

Sound Propagation in Stratified Fluids

ISBN:

9780387909868

Details of the book - Sound Propagation in Stratified Fluids


EAN (ISBN-13): 9780387909868
ISBN (ISBN-10): 0387909869
Hardcover
Paperback
Publishing year: 1984
Publisher: SPRINGER VERLAG GMBH
212 Pages
Weight: 0,299 kg
Language: eng/Englisch

Book in our database since 08.05.2008 09:20:08
Book found last time on 03.11.2016 16:39:58
ISBN/EAN: 9780387909868

ISBN - alternate spelling:
0-387-90986-9, 978-0-387-90986-8

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