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Cover image for New directions in linear acoustics and vibration : quantum chaos, random matrix theory, and complexity
Title:
New directions in linear acoustics and vibration : quantum chaos, random matrix theory, and complexity
Publication Information:
New York : Cambridge University Press, 2010.
Physical Description:
ix, 274 p. : ill. ; 27 cm.
ISBN:
9780521885089

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30000010273726 QC243 N49 2010 Open Access Book Book
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Summary

Summary

Linear acoustics was thought to be fully encapsulated in physics texts of the 1950s, but this view has been changed by developments in physics during the last four decades. There is a significant new amount of theory that can be used to address problems in linear acoustics and vibration, but only a small amount of reported work does so. This book is an attempt to bridge the gap between theoreticians and practitioners, as well as the gap between quantum and acoustic. Tutorial chapters provide introductions to each of the major aspects of the physical theory and are written using the appropriate terminology of the acoustical community. The book will act as a quick-start guide to the new methods while providing a wide-ranging introduction to the physical concepts.


Author Notes

Matthew wright is a senior lecturer in Acoustics at the Institute of Sound and Vibration Research (ISVR) His B Eng. was in engineering acoustics and vibration, and his Ph.D. was in Volterra series characterization and identification of nonlinear bioacoustic systems, both from the University of southampton. Since then he has worked on flow control for drag and noise reduction turbofan inlet design, aeroacoustic theory, violin acoustics and quantum chaos in acoustics for the study of which he was awarded an EPSRC Advanced Research Fellowship. His current interests include wind farm noise and the neuroscience of hearing. He is a Fellow of the Institute of Acoustics, a Fellow of the Institute of Mathematics and Its Applications, a Senior Member of the American Institute of Aeronautics and Astronautics, a Member of the Acoustical Society of Americas, and the book reviews editor of the Journal of Sound and Vibration He teaches musical instrument acoustics and acoustical design.
Richard weaver received an A.B. degree in physics from Washington University in St. Louis in 1971 and a Ph.D. in astrophysics from Cornell University 1977. He has been at the University of Illinois since 1981, after a research associateship in theoretical elastic wave propagation and ultrasonics at Cornell. He was elected a Fellow of the Acoustical Society of America in 1996 and received the Hetnyi Award from the Society for Experimental Mechanics in 2004. He is associate editor of the Journal of the Acoustical Society of America.


Table of Contents

Michael BerryMatthew Wright and Richard WeaverMatthew WrightOlivier Legrand and Fabrice MortessagneRichard WeaverMark R. DennisEduardo G. Vergini and Gabriel G. CarloJonathan P. Keating and Marcel NovaesNiels SondergaardRichard WeaverJoseph A. Turner and Goutam GhoshalMathias FinkSteven Tomsovic and Michael BrownMichel Campillo and Ludovic Margerinhristian SoizeRobin Langley
Forewordp. Vii
Introductionp. 1
1 The Semiclassical Trace Formulap. 5
2 Wave Chaos for the Helmholtz Equationp. 24
3 The Unreasonable Effectiveness of Random Matrix Theory for the Vibrations and Acoustics of Complex tructuresp. 42
4 Gaussian Random Wavefields and the Ergodic Mode Hypothesisp. 59
5 Short Periodic Orbit Theory of Eigenfunctionsp. 77
6 Chaotic Wave Scatteringp. 96
7 Transfer Operators Applied to Elastic Plate Vibrationsp. 110
8 Mesoscopics in Acousticsp. 123
9 Diagrammatic Methods in Multiple Scatteringp. 131
10 Time-Reversed Waves in Complex Mediap. 146
11 Ocean Acoustics: A Novel Laboratory for Wave Chaosp. 169
12 Mesoscopic Seismic Wavesp. 188
13 Random Matrices in Structural Acousticsp. 206
14 The Analysis of Random Built-Up Engineering Systemsp. 231
Referencesp. 251
Indexp. 271
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