Coherent wave propagation in inhomogeneous materials: a comparison of theoretical models

Norris, 1987, Gaussian wave packets in inhomogeneous media with curved interfaces, Proc Roy Soc, A412, 93, 10.1098/rspa.1987.0082 Karal, 1959, Elastic wave propagation in homogeneous and inhomogeneous media, J Acoust Soc Am, 31, 694, 10.1121/1.1907775 Achenbach, 1982 Červený, 1980, The ray series method and dynamic ray tracing system for three-dimensional inhomogeneous media, Bull Seism Soc Am, 70, 47 Molcho, 1986, A simple derivation and an example of Hamiltonian ray propagation, Am J Phys, 54, 351, 10.1119/1.14621 Hallberg, 1988, Numerical ray tracing in the atmospheric surface layer, J Acoust Soc Am, 83, 2059, 10.1121/1.396386 Babich, 1961, Ray method for the computation of the intensity of wave fronts in elastic inhomogeneous anisotropic medium, Vol 5, 36 Ogilvy, 1990, A layered media model for ray propagation in anisotropic inhomogeneous materials, Appl Math Model, 14, 237, 10.1016/0307-904X(90)90014-V Ogilvy, 1985, Computerized ultrasonic ray tracing in austenitic steels, NDT Int, 18, 67, 10.1016/0308-9126(85)90100-2 Musgrave, 1954, On the propagation of elastic waves in aeolotropic media, Proc Roy Soc, 226, 339, 10.1098/rspa.1954.0258 Musgrave, 1959, The propagation of elastic waves in crystals and other anisotropic media, Rep Progr Phys, 22, 74, 10.1088/0034-4885/22/1/303 Federov, 1968 Ogilvy, 1988, Frequency dependent ultrasonic ray tracing: a preliminary approach Alterman, 1972, Computer generated seismograms, 10.1016/B978-0-12-460812-2.50007-7 Bond, 1982, Methods for the modelling of ultrasonic waves in solids, Vol 6 Harker, 1988 Sun, 1968, Time-harmonic waves in a stratified medium propagating in the direction of the layering, J Appl Mech, 35, 408, 10.1115/1.3601212 Sun, 1968, Continuum theory for a laminated medium, J Appl Mech, 35, 467, 10.1115/1.3601237 Sve, 1971, Time-harmonic waves travelling obliquely in a periodically laminated medium, J Appl Mech, 38, 477, 10.1115/1.3408800 Lekner, 1987 Budden, 1965 Eckart, 1930, The penetration of a potential barrier by electrons, Phys Rev, 35, 1303, 10.1103/PhysRev.35.1303 Epstein, 1930, Reflection of waves in an inhomogeneous absorbing medium, Proc Nat Acad Sci, 16, 627, 10.1073/pnas.16.10.627 Landau, 1965 Rawer, 1939, Elektrische Wellen in einem geschichteten Medium: zur Frage der partiellen Reflexion und zur Berechnung der Scheinbaren Höhe von Ionosphärenschichten, Am Phys Lpz, 35, 385, 10.1002/andp.19394270502 Westcott, 1962, Ionospheric reflection processes for long radio waves: I, J Atmos Terr Phys, 24, 385, 10.1016/0021-9169(62)90233-7 Westcott, 1962, Ionospheric reflection processes for long radio waves: II, J Atmos Terr Phys, 24, 619, 10.1016/0021-9169(62)90084-3 Rayleigh, 1912, On the propagation of waves through a stratified medium, with special reference to the question of reflection, Proc Roy Soc, A86, 207, 10.1098/rspa.1912.0014