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S Reflection coefficients in stratified media
S Propagation of pulses in dispersive media
JO Ray optics
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Abyssal Plain acoustic velocity acoustical pressure amplitude angle angle of incidence angular frequency approximation Arctan array assume asymptotic attenuation attenuation constant autocorrelation axis backscattered bandwidth Bessel functions Biot bivariate distribution bottom boundary boundary conditions bulk modulus C. S. Clay calculated caustic characteristic equation coherent constant corre correlation function corresponding cross correlation curves depends depth differential equation diffraction Dirac delta function discrete discrete spectrum eigenfunctions eigenvalues eigenvectors eikonal equation energy equation experimental experiments Fermat's principle filter Fire Island Fourier transform frequency G. N. Watson gaussian distribution Geophysics Green's function group velocity half-space harmonic Hilbert space homogeneous homogeneous space horizontal However hydrophone impulse response incident infinite integral Integral Transforms internal waves kinetic energy layer linear filter m/sec matched filter medium method mixed layer mode filter Mutual Coherence Functions neper noise normal mode obtained ocean ocean surface waves orthonormality particle displacement peak signal-to-noise ratio phase change phase fluctuations phase shift phase velocity plane plane waves plane-wave point source problem propagation pulse quantum theory radiation radiation scattered range ray optics ray tracing Rayleigh waves reflection coefficient result rough scattered scattered radiation sediment seismic sources shadow zones shown in Fig side lobes signal transmissions signal-to-noise Skudrzyk Snell's law SOFAR channel solution sound field sound velocity source and receiver spectrum Specular Reflection standing-wave stationary phase approximation stratified surface Tables of Integral theory Thus tion Tolstoy total internal reflection total reflection turning point Underwater Acoustics values vertical wave equation wave number wave propagation waveguide wavelength wavenumber Wenz WKB approximation zero