Linear Elastic Waves Book

	Preface
1	Simple Wave Solutions	1
1.1	Model Equations	1
1.2	The Fourier and Laplace Transforms	6
1.3	A Wave Is Not a Vibration	11
1.4	Dispersive Propagation	13
2	Kinematical Descriptions of Waves	20
2.1	Time-Dependent Plane Waves	20
2.2	Time-Harmonic Plane Waves	22
2.3	Plane-Wave or Angular-Spectrum Representations	24
2.4	Asymptotic Ray Expansion	28
3	Reflection, Refraction, and Interfacial Waves	37
3.1	Reflection of a Compressional Plane Wave	37
3.2	Reflection and Refraction	41
3.3	Critical Refraction and Interfacial Waves	44
3.4	The Rayleigh Wave	48
4	Green's Tensor and Integral Representations	56
4.1	Introduction	56
4.2	Reciprocity	57
4.3	Green's Tensor	58
4.4	Principle of Limiting Absorption	62
4.5	Integral Representation: A Source Problem	64
4.6	Integral Representation: A Scattering Problem	65
4.7	Uniqueness in an Unbounded Region	68
4.8	Scattering from an Elastic Inclusion in a Fluid	72
5	Radiation and Diffraction	77
5.1	Antiplane Radiation into a Half-Space	77
5.2	Buried Harmonic Line of Compression I	82
5.3	Asymptotic Approximation of Integrals	86
5.4	Buried Harmonic Line of Compression II	96
5.5	Diffraction of an Antiplane Shear Wave at an Edge	101
5.6	Matched Asymptotic Expansion Study	112
6	Guided Waves and Dispersion	121
6.1	Harmonic Waves in a Closed Waveguide	121
6.2	Harmonic Waves in an Open Waveguide	128
6.3	Excitation of a Closed Waveguide	134
6.4	Harmonically Excited Waves in an Open Waveguide	139
6.5	A Laterally Inhomogeneous, Closed Waveguide	146
6.6	Dispersion and Group Velocity	150
	References	157
	Index	159