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Tables of Contents for Nonlinear Wave Processes in Acoustics
Chapter/Section Title
Page #
Page Count
Preface
page vi
1 Nonlinearity, dissipation and dispersion in acoustics
1
36
1.1 Homogeneous gases and liquids
1
10
1.2 Isotropic solids
11
5
1.3 Liquid with gas bubbles
16
9
1.4 Elastic medium with cavities
25
5
1.5 "Anomalous" nonlinearities in elastic media
30
7
2 Simple waves and shocks in acoustics
37
61
2.1 Nonlinear effects in the presence of dissipation and dispersion
37
2
2.2 Simple waves and discontinuities
39
10
2.3 Propagation of pulses
49
5
2.4 A medium with finite dissipation
54
7
2.5 Propagation of intense acoustic noise
61
11
2.6 Waves in media with "anomalous" nonlinearity
72
6
2.7 Sound excitation and amplification by moving sources
78
7
2.8 Finite-amplitude standing waves
85
5
2.9 Energy and momentum in a plane sound wave
90
8
3 Nonlinear geometrical acoustics
98
42
3.1 Rays and ray tubes
98
5
3.2 Nonlinear wave evolution along the rays
103
2
3.3 Spherical waves
105
7
3.4 Nonlinear acoustics of explosive waves
112
3
3.5 One-dimensional propagation in inhomogeneous media
115
5
3.6 Refraction of nonlinear waves in a stratified medium
120
7
3.7 Self-refraction of shock waves
127
13
4 Nonlinear sound beams
140
25
4.1 Paraxial beams
140
2
4.2 The nonlinear beam equation
142
6
4.3 Step-by-step technique
148
2
4.4 Divergent waves
150
8
4.5 Foci and caustics
158
7
5 Sound-sound interaction (nondispersive medium)
165
33
5.1 One-dimensional interactions
165
11
5.2 Parametric acoustic transmitters
176
12
5.3 Parametric sound reception
188
10
6 Nonlinear acoustic waves in dispersive media
198
47
6.1 Media with selective absorption
198
6
6.2 Nonlinear waves in a waveguide
204
4
6.3 Parametric amplification and generation of sound
208
9
6.4 Acoustic solitons in a liquid with gas bubbles
217
3
6.5 Acoustic solitons in solids
220
8
6.6 Wave interaction in a liquid with resonance bubbles
228
7
6.7 Parametric sound transmitter in a waveguide
235
10
7 Self-action and stimulated scattering of sound
245
50
7.1 Cubic nonlinearity in acoustics
245
5
7.2 Self-focusing of sound
250
5
7.3 One-dimensional modulated waves
255
6
7.4 Stimulated scattering of sound
261
4
7.5 Wave front reversal
265
8
7.6 Concentration nonlinearity in a liquid with gas bubbles
273
10
7.7 Cavitational self-focusing of sound
283
3
7.8 Phase locking of nonlinear oscillators in acoustics
286
9
Conclusion
295
2
Subject index
297