## Reflection and refraction of progressive seismic waves |

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### Contents

Notation Partia1 Differentia1 Equations in Infinite | 1 |

Appendix 2A Displacement field from a pressure source in a spherical | 11 |

Appendix 3A Discussion of the method of integration | 35 |

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### Common terms and phrases

_ Fig a-plane angle Appendix 5-A approaches zero arbitrarily close arbitrarily differentiable arbitrarily small associated domains becomes infinite branch cut branch points Cagniard calculations change of variable Chap chapter complex conjugate component compressional wave conical wave front consider continuous contour corresponding cos2 critical cone curves defined Elastic Wave fourth quadrant half-space holomorphic function identically zero imaginary axis integrand integration path interface kinematic discontinuity Laplace transform o.ooot oscillations partial derivatives particle displacement path of integration plane points of discontinuity poles primary terms problem pseudo-wave pure imaginary radical radius Rayleigh wave real axis reflected P wave reflected shear wave Riemann surface second medium second surface wave Seismic seismogram seismology shear wave sin2 singularity solution sphere spherical tends to zero theorem tion translator's note transmission factors uniform convergence values w-plane wave propagation