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| Preface | |
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| Simple Wave Solutions | |
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| Model Equations | |
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| One-Dimensional Models | |
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| Two-Dimensional Models | |
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| Displacement Potentials | |
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| Energy Relations | |
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| The Fourier and Laplace Transforms | |
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| A Wave Is Not a Vibration | |
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| Dispersive Propagation | |
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| An Isolated Interaction | |
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| Periodic Structures | |
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| References | |
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| Kinematical Descriptions of Waves | |
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| Time-Dependent Plane Waves | |
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| Time-Harmonic Plane Waves | |
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| Plane-Wave or Angular-Spectrum Representations | |
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| A Gaussian Beam | |
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| An Angular-Spectrum Representation of a Spherical Wave | |
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| An Angular-Spectrum Representation of a Cylindrical Wave | |
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| Asymptotic Ray Expansion | |
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| Compressional Wave | |
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| Shear Wave | |
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| Spherical and Cylindrical Waves | |
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| References | |
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| Reflection, Refraction, and Interfacial Waves | |
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| Reflection of a Compressional Plane Wave | |
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| Phase Matching | |
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| Reflection Coefficients | |
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| Reflection and Refraction | |
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| Critical Refraction and Interfacial Waves | |
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| The Rayleigh Wave | |
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| The Time-Harmonic Wave | |
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| Transient Wave | |
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| The Rayleigh Function | |
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| Branch Cuts | |
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| References | |
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| Green's Tensor and Integral Representations | |
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| Introduction | |
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| Reciprocity | |
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| Green's Tensor | |
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| Notes | |
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| Principle of Limiting Absorption | |
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| Integral Representation: A Source Problem | |
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| Notes | |
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| Integral Representation: A Scattering Problem | |
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| Notes | |
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| Uniqueness in an Unbounded Region | |
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| No Edges | |
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| Edge Conditions | |
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| An Inner Expansion | |
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| Scattering from an Elastic Inclusion in a Fluid | |
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| References | |
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| Tradiation and Diffraction | |
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| Antiplane Radiation into a Half-Space | |
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| The Transforms | |
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| Inversion | |
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| Buried Harmonic Line of Compression I | |
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| Asymptotic Approximation of Integrals | |
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| Watson's Lemma | |
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| Method of Steepest Descents | |
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| Stationary Phase Approximation | |
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| Buried Harmonic Line of Compression II | |
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| The Complex Plane | |
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| The Scattered Compressional Wave | |
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| The Scattered Shear Wave | |
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| Diffraction of an Antiplane Shear Wave at an Edge | |
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| Formulation | |
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| Wiener-Hopf Solution | |
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| Description of the Scattered Wavefield | |
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| Matched Asymptotic Expansion Study | |
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| The Fresnel Integral | |
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| References | |
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| Guided Waves and Dispersion | |
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| Harmonic Waves in a Closed Waveguide | |
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| Partial Waves and the Transverse Resonance Principle | |
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| Dispersion Relation: A Closed Waveguide | |
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| Harmonic Waves in an Open Waveguide | |
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| Partial Wave Analysis | |
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| Dispersion Relation: An Open Waveguide | |
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| Excitation of a Closed Waveguide | |
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| Harmonic Excitation | |
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| Transient Excitation | |
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| Harmonically Excited Waves in an Open Waveguide | |
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| The Wavefield in the Layer | |
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| The Wavefield in the Half-Space | |
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| Leaky Waves | |
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| A Laterally Inhomogeneous, Closed Waveguide | |
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| Dispersion and Group Velocity | |
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| Causes of Dispersion | |
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| The Propagation of Information | |
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| The Propagation of Angular Frequencies | |
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| References | |
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| Index | |