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Asymptotic Theory of Seismic Wave PropagationA Hanyga
Propagation of Pulses in Stratified MediaA Hanyga
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amplitude angles of incidence anisotropic approximation assume boundary conditions Cagniard calculate caustic components const contour coordinates core corresponding defined denote derivatives differential diffracted discontinuity dispersion curves Earth eikonal eikonal equation elastic epicentral distance equation expression formula free surface frequency function given group velocity half-space Hamilton-Jacobi equation Hanyga head wave Hence homogeneous implies incident wave integral integrand interface inverse isotropic leaky modes linear Love waves low-velocity layer matrix medium method normal obtained P-SV parameters Pekeris phase velocity point source poles problem pulse Rayleigh waves real axis reflected waves reflection and transmission reflection coefficient refracted respectively roots saddle point satisfy seismic waves seismograms seismology SH waves sheet shock waves signal solution spherical Substituting Suppose surface waves theoretical tion transformation transmitted waves turning point vector wave propagation wave velocity wavefield wavefronts waveguide WKBJ