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Tables of Contents for Acoustic and Elastic Wave Fields in Geophysics
Chapter/Section Title
Page #
Page Count
Introduction
vii
List of Symbols
xi
Principles of geometrical acoustics
1
98
Transition to high-frequency acoustics
1
30
Reflected waves in media with plane interfaces
31
15
Head waves in media with plane interfaces
46
19
Wavefront construction and ray tracing
65
21
Fermat's principle and ray equations
86
13
Dynamics of high-frequency wave fields
99
88
Orientation of Poynting vector and rays at high-frequency spectrum
101
6
Amplitude A0 along a ray
107
24
Reflected and transmitted waves in presence of boundary
131
23
Wave field near caustic
154
18
Fresnel volume and physical meaning of ray
172
15
Basics of Kirchhoff migration
187
52
Time fields and reconstruction of reflector
187
12
Principles of Kirchoff migration
199
40
Plane waves in layered media (normal incidence)
239
34
Waves in media with a single planar interface
239
10
Normal incidence of plane wave in horizontally layered media
249
24
Plane waves in layered media (oblique incidence)
273
94
Reflection and transmission of plane wave
273
12
Reflection and refraction of sinusoidal waves
285
12
Distribution of energy between reflected and transmitted waves
297
9
Reflection and transmission of transient plane wave
306
10
Reflection and transmission of inhomogeneous plane waves
316
4
Oblique incidence of plane waves in media with two interfaces
320
11
Wave propagation in waveguides
331
13
Waves in media with continuously changing velocity
344
23
Spherical waves in the presence of horizontal interface
367
84
Spherical source in a half-space with a free or rigid surface
367
11
Spherical source in medium with plane boundary (general case)
378
8
Analysis of wave fields by the stationary phase method
386
19
Head wave and integration along branch cuts
405
12
Wave and near zones
417
3
Wave asymptotics and the steepest descent method
420
31
Propagation of waves inside a layer
451
46
Acoustic potential of elementary source located inside a layer
451
6
Expansion of integrands in series
457
3
Integration along branch cuts and around poles
460
9
Normal modes
469
8
Asymptotic behavior of waves related to potential U
477
5
Transient waves inside a layer
482
5
Evaluation of normal modes
487
10
Acoustic potential in medium with a cylindrical interface
497
22
Solution of the boundary value problem
497
10
Normal modes inside the cylinder
507
7
Head wave in borehole
514
5
Appendices
519
94
Appendix A. Functions of complex variables
519
36
Appendix B. Hilbert transform
555
6
Appendix C. The saddle point method
561
18
Appendix D. Differential equations
579
34
References
613
2
Index
615