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Tables of Contents for Nonlinear Acoustics
Chapter/Section Title
Page #
Page Count
PREFACE
xiii
4
LIST OF SYMBOLS
xvii
 
1 History of Nonlinear Acoustics: 1750s-1930s
1
24
DAVID T. BLACKSTOCK
1. INTRODUCTION
1
1
2. 1759-1860: THE CLASSICAL ERA
2
12
3. 1870-1910: SHOCK WAVES
14
4
4. 1930s: PRECURSORS OF THE MODERN ERA
18
4
REFERENCES
22
3
2 The Parameter B/A
25
16
ROBERT T. BEYER
1. INTRODUCTION
25
1
2. DEFINITIONS
26
3
3. PHYSICAL INTERPRETATION OF B/A
29
1
4. DETERMINATION OF B/A
29
3
5. NONLINEARITY IN ISOTROPIC SOLIDS
32
1
6. TABLES
33
4
REFERENCES
37
4
3 Model Equations
41
24
M.F. HAMILTON
C.L. MORFEY
1. INTRODUCTION
41
1
2. BASIC EQUATIONS
42
2
3. LOSSLESS THEORY
44
5
4. APPROXIMATIONS FOR THERMOVISCOUS FLUIDS
49
3
5. SECOND-ORDER WAVE EQUATION
52
2
6. WESTERVELT EQUATION
54
2
7. BURGERS EQUATION
56
1
8. GENERALIZED BURGERS EQUATION
57
3
9. KZK EQUATION
60
2
REFERENCES
62
3
4 Progressive Waves in Lossless and Lossy Fluids
65
86
DAVID T. BLACKSTOCK
MARK F. HAMILTON
ALLAN D. PIERCE
1. INTRODUCTION
66
1
2. LOSSLESS PROGRESSIVE WAVES
66
18
3. SHOCK WAVES
84
22
4. WEAK SHOCK THEORY
106
11
5. THE BURGERS EQUATION
117
22
6. SPECIAL TOPICS
139
8
REFERENCES
147
4
5 Dispersion
151
26
M.F. HAMILTON
YU. A. IL'INSKII
E.A. ZABOLOTSKAYA
1. INTRODUCTION
151
1
2. WEAK DISPERSION
152
8
3. STRONG DISPERSION
160
14
REFERENCES
174
3
6 Radiation Pressure and Acoustic Levitation
177
30
T.G. WANG
C.P. LEE
1. INTRODUCTION
177
1
2. RADIATION PRESSURE
178
11
3. ACOUSTIC LEVITATION
189
14
REFERENCES
203
4
7 Acoustic Streaming
207
26
WESLEY L. NYBORG
1. INTRODUCTION
207
1
2. GENERAL CONSIDERATIONS
208
4
3. SOLUTIONS
212
14
4. APPLICATIONS
226
2
REFERENCES
228
5
8 Sound Beams
233
30
MARK F. HAMILTON
1. INTRODUCTION
233
1
2. PARABOLIC WAVE EQUATION
234
1
3. QUASILINEAR THEORY
234
18
4. STRONG NONLINEARITY
252
7
ACKNOWLEDGMENTS
259
1
REFERENCES
259
4
9 Finite-Amplitude Waves in Solids
263
16
ANDREW N. NORRIS
1. INTRODUCTION
263
1
2. EQUATIONS OF NONLINEAR ELASTODYNAMICS
264
3
3. LONGITUDINAL AND TRANSVERSE PLANE WAVES
267
3
4. ACOUSTOELASTICITY: STRESS DEPENDENCE OF THE WAVE SPEEDS
270
4
5. SOUND BEAMS IN SOLIDS
274
2
REFERENCES
276
3
10 Perturbation Methods
279
30
JERRY H. GINSBERG
1. BACKGROUND
279
2
2. REGULAR PERTURBATION TECHNIQUE
281
3
3. METHOD OF MULTIPLE SCALES
284
4
4. METHOD OF RENORMALIZATION
288
2
5. RADIATION FROM A VIBRATING PLATE
290
8
6. CURVILINEAR COORDINATES
298
5
7. WAVE GROUPS
303
4
REFERENCES
307
2
11 Computational Methods
309
34
JERRY H. GINSBERG
MARK F. HAMILTON
1. INTRODUCTION
309
2
2. ONE-DIMENSIONAL WAVES
311
13
3. DIRECTIONAL THREE-DIMENSIONAL WAVES
324
11
4. GENERAL TIME-DOMAIN ALGORITHM
335
4
REFERENCES
339
4
12 Propagation in Inhomogeneous Media (Ray Theory)
343
34
C.L. MORFEY
F.D. COTARAS
1. RAY THEORY AND ITS EXTENSION TO FINITE AMPLITUDE PROPAGATION
344
7
2. EXAMPLES OF NONLINEAR PROPAGATION IN A STATIONARY MEDIUM
351
10
3. FINITE AMPLITUDE RAY PROPAGATION IN MOVING MEDIA
361
5
4. EXAMPLES OF NONLINEAR PROPAGATION IN A MOVING MEDIUM
366
5
5. REVIEW OF APPROXIMATIONS
371
3
6. ACOUSTICAL PROPERTIES OF WATER AND SEAWATER
374
1
ACKNOWLEDGMENTS
374
1
REFERENCES
374
3
13 Statistical Phenomena
377
22
S.N. GURBATOV
O.V. RUDENKO
1. INTRODUCTION
377
1
2. EVOLUTION EQUATION AND STATISTICAL FUNCTIONS
378
1
3. BASIC PHENOMENA IN NONLINEAR NOISE FIELDS
379
3
4. EVOLUTION OF QUASI-MONOCHROMATIC SIGNALS
382
6
5. EVOLUTION OF BROADBAND SPECTRA-ACOUSTIC TURBULENCE
388
5
6. INTERACTION OF A REGULAR WAVE WITH NOISE
393
3
7. CONCLUSION
396
1
ACKNOWLEDGMENT
397
1
REFERENCES
397
2
14 Parametric Layers, Four-Wave Mixing, and Wave-Front Reversal
399
22
HARRY J. SIMPSON
PHILIP L. MARSTON
1. INTRODUCTION
399
1
2. FOCUSED-WAVE PRODUCTION BY PARAMETRIC MIXING IN A NONLINEAR LAYER
400
7
3. FOUR-WAVE MIXING RESULTING FROM RESPONSES TO RADIATION PRESSURE
407
9
4. KINEMATIC PROCESSES AND MISCELLANEOUS PHASE CONJUGATION PROCESSES
416
2
ACKNOWLEDGMENT
418
1
REFERENCES
418
3
15 Biomedical Applications
421
28
EDWIN L. CARSTENSEN
DAVID R. BACON
1. INTRODUCTION
421
2
2. ACOUSTICAL PROPERTIES OF TISSUES
423
2
3. HIGH-AMPLITUDE, FOCUSED FIELDS OF MEDICAL EQUIPMENT
425
6
4. PREDICTING FIELDS IN TISSUES: THE "DERATING" PROBLEM
431
4
5. IMPLICATIONS OF NONLINEAR CONTRIBUTIONS TO RADIATION FORCES AND ACOUSTIC STREAMING
435
1
6. LITHOTRIPSY
436
4
7. PULSED ULTRASOUND
440
2
ACKNOWLEDGMENT
442
1
REFERENCES
443
6
INDEX
449