This quantitative assessment of seismic observations over the entire spectral range of recorded wave phenomena covers more than 160 years of seismology. From first principles to modern developments, it presents a comprehensive account of the propagation of elastic waves in the earth. Well illustrated with figures, tables, and solved examples. 1981 edition.

Table of Contents for Seismic Waves and Sources

Preface to the First Edition
Preface to the Second Edition
Seismology-Milestones of Progress
Acknowledgments
List of Tables
1 Classical Continuum Dynamics
1.1. The Stress Dyadic and Its Properties
1.2. Geometry of Small Deformations
1.3. Linear Elastic Solid
1.4. The Field Equations
1.5. Lagrangian Formulation
1.6. One-Dimensional Approximations
1.7. Two-Dimenstional Approximations
1.8. Representation of Finite Strains
Bibliography
2 Waves in Infinite Media
2.1. Elementary Solutions of the Wave Equation
2.2. Separability of the Scalar Helmholtz Equation
2.3. Separability of the Vector Helmholtz Equation
2.4. Eigenvector Solutions of the Navier Equation
2.5. Plane Waves
2.6. "Interrelations Among Plane, Cylindrical, and Spherical Waves"
2.7. Dyadic Plane Waves
Bibliography
3 Seismic Plane Waves in a Layered Half-Space
3.1. Reflection and Refraction of Plane Waves-General Considerations
3.2. Reflection at a Free Surface
3.3. Reflection and Refraction at a Solid-Solid Interface
3.4. Reflection and Refraction at a Solid-Liquid Interface
3.5. Reflection and Refraction at a Liquid-Solid Interface
3.6. Surface Waves
3.7. Spectral Response of a Multilayered Crust
3.8 Generalization of the Matrix Method-the Matrix Propagator
3.9. The Inverse Surface-Wave Problem
Bibliography
4 Representation of Seismic Sources
4.1. A Concentrated Force in a Homogeneous Medium
4.2. Dipolar Point Sources
4.3. "Relations of Betti, Somigliana, and Volterra"
4.4. Fault-Plane Geometry
4.5. Dipolar Sources in a Homogeneous Medium
4.6. Stress Distributions on a Spherical Cavity and Their Equivalent Sources
4.7. Radiations from a Finite Moving Source
4.8. Radiation of Elastic Waves by Volume Sources
Bibliography
5 Surface-Wave Amplitude Theory
5.1. Surface-Wave Amplitudes in Simple Configurations
5.2. Generalization to a Vertically Inhomogeneous Half-space
5.3. Surface Waves from a Finite Moving Source
Bibliography
6 Normal-Mode Solution for Spherical Earth Models
6.1. Introduction
6.2. Oscillations of a Homogenous Sphere
6.3. Oscillations of a Radically Inhomogenous Self-Gravitating Earth Moel
6.4. Effect of the Rotation of the Earth
6.5. Energy Integrals
6.6. Source Effects
6.7. Numerical Procedures
Bibliography
7. Geometric Elastodynamics: Rays and Generalized
7.1. Asymptotic Body Wave Theory
7.2. Ray-Amplitude Theory
7.3. Ray Theory in Vertically Inhomogenous Media
7.4. Asymptotic Wave-Theory in Vertically Inhomogenous Media
7.5. Breakdown of the GEA: Caustics
7.6. Theoretical Seismograms
7.7. Spectral Asymptotic Approximations
7.8. Initial Motion
7.9. Normal-Mode versus Ray Solutions for Vertically Inhomogeneous Media
Bibliography
8 Asymptotic Theory of the Earth's Normal Modes
8.1. Jeans' Formula
8.2. Watson's Transformation of the Spectral Field
8.3. Surface Waves on a Sphere
8.4. Mode-Ray Duality
8.5. Ray Analysis in a Homogenous Sphere
8.6. SH-Field Analysis in a Uniform Shell Overlying a Fluid Core
8.7. Generalized Rays in Spherical-Earth Models
Bibliography
9 Atmospheric and Water Waves and Companion Seismic Phenomena
9.1. The Navier-Stokes Equation
9.2. Sound Waves
9.3. Gravity Waves in Liquids
9.4. Acoustic-Gravity Waves in the Atmosphere
9.5. Waves Generated by Atmospheric Explosions
9.6. Coupled Air-Sea Waves
9.7. Rayleigh Waves from Atmospheric Explosions
Bibliography
10 Seismic Wave Motion in Anelastic Media
10.1. The Specific Dissipation Parameter
10.2. Linear Viscoelastic Solid
10.3. Pulse Propagation in Unbounded Anelastic Media
10.4. Attenuation of Seismic Waves in the Earth
Bibliography
Appendices
A. Algebra and Calculus of Dyadics
B. Orthogonal Curvilinear Coordinates
C. The Material Derivative
D. Bessel and Legendre Functions
E. Asymptotic Evaluation of Speical Integrals
F. Generalized Functions
G. The Airy Integral
H. Asymptotic Solutions of Second-Order Linear Diferential Equations
I. Generalized Spherical Harmonics
J. Transformation of Wave Functions under Translation and Rotation of the Coordinate Axes
K. The Mathematics of Causality
L. Models of the Earth and the Atmosphere
Bibliography
List of Symbols
Subject Index

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