| Preface | p. xiii |
| Simple Wave Solutions | p. 1 |
| Model Equations | p. 1 |
| One-Dimensional Models | p. 3 |
| Two-Dimensional Models | p. 4 |
| Displacement Potentials | p. 5 |
| Energy Relations | p. 5 |
| The Fourier and Laplace Transforms | p. 6 |
| A Wave Is Not a Vibration | p. 11 |
| Dispersive Propagation | p. 13 |
| An Isolated Interaction | p. 13 |
| Periodic Structures | p. 15 |
| References | p. 18 |
| Kinematical Descriptions of Waves | p. 20 |
| Time-Dependent Plane Waves | p. 20 |
| Time-Harmonic Plane Waves | p. 22 |
| Plane-Wave or Angular-Spectrum Representations | p. 24 |
| A Gaussian Beam | p. 24 |
| An Angular-Spectrum Representation of a Spherical Wave | p. 26 |
| An Angular-Spectrum Representation of a Cylindrical Wave | p. 28 |
| Asymptotic Ray Expansion | p. 28 |
| Compressional Wave | p. 29 |
| Shear Wave | p. 33 |
| Spherical and Cylindrical Waves | p. 34 |
| References | p. 35 |
| Reflection, Refraction, and Interfacial Waves | p. 37 |
| Reflection of a Compressional Plane Wave | p. 37 |
| Phase Matching | p. 39 |
| Reflection Coefficients | p. 40 |
| Reflection and Refraction | p. 41 |
| Critical Refraction and Interfacial Waves | p. 44 |
| The Rayleigh Wave | p. 48 |
| The Time-Harmonic Wave | p. 49 |
| Transient Wave | p. 50 |
| The Rayleigh Function | p. 51 |
| Branch Cuts | p. 52 |
| References | p. 55 |
| Green's Tensor and Integral Representations | p. 56 |
| Introduction | p. 56 |
| Reciprocity | p. 57 |
| Green's Tensor | p. 58 |
| Notes | p. 61 |
| Principle of Limiting Absorption | p. 62 |
| Integral Representation: A Source Problem | p. 64 |
| Notes | p. 65 |
| Integral Representation: A Scattering Problem | p. 65 |
| Notes | p. 66 |
| Uniqueness in an Unbounded Region | p. 68 |
| No Edges | p. 68 |
| Edge Conditions | p. 69 |
| An Inner Expansion | p. 71 |
| Scattering from an Elastic Inclusion in a Fluid | p. 72 |
| References | p. 76 |
| Tradiation and Diffraction | p. 77 |
| Antiplane Radiation into a Half-Space | p. 77 |
| The Transforms | p. 78 |
| Inversion | p. 79 |
| Buried Harmonic Line of Compression I | p. 82 |
| Asymptotic Approximation of Integrals | p. 86 |
| Watson's Lemma | p. 87 |
| Method of Steepest Descents | p. 90 |
| Stationary Phase Approximation | p. 94 |
| Buried Harmonic Line of Compression II | p. 96 |
| The Complex Plane | p. 96 |
| The Scattered Compressional Wave | p. 98 |
| The Scattered Shear Wave | p. 99 |
| Diffraction of an Antiplane Shear Wave at an Edge | p. 101 |
| Formulation | p. 102 |
| Wiener-Hopf Solution | p. 104 |
| Description of the Scattered Wavefield | p. 108 |
| Matched Asymptotic Expansion Study | p. 112 |
| The Fresnel Integral | p. 116 |
| References | p. 119 |
| Guided Waves and Dispersion | p. 121 |
| Harmonic Waves in a Closed Waveguide | p. 121 |
| Partial Waves and the Transverse Resonance Principle | p. 123 |
| Dispersion Relation: A Closed Waveguide | p. 124 |
| Harmonic Waves in an Open Waveguide | p. 128 |
| Partial Wave Analysis | p. 129 |
| Dispersion Relation: An Open Waveguide | p. 131 |
| Excitation of a Closed Waveguide | p. 134 |
| Harmonic Excitation | p. 134 |
| Transient Excitation | p. 135 |
| Harmonically Excited Waves in an Open Waveguide | p. 139 |
| The Wavefield in the Layer | p. 140 |
| The Wavefield in the Half-Space | p. 145 |
| Leaky Waves | p. 146 |
| A Laterally Inhomogeneous, Closed Waveguide | p. 146 |
| Dispersion and Group Velocity | p. 150 |
| Causes of Dispersion | p. 150 |
| The Propagation of Information | p. 151 |
| The Propagation of Angular Frequencies | p. 153 |
| References | p. 157 |
| Index | p. 159 |
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