Abstract
In this chapter we consider the scattering of a spherical wave from a planar boundary separating two different fluids with densities ρ j and sound speeds c j (j = 1, 2). This is the same geometry considered in Chap. 3 with the additional complication that all incidence angles are now possible. For the point source located at x′(z′ > 0) in the upper fluid (fluid 1) and the receiver at x which could occur in either fluid we have the geometry illustrated in Fig. 4.1.
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References
K. Aki, P.G. Richards: Quantitative Seismology, Theory and Methods (Freeman, New York 1980) Vol. I
N. Bleistein, R.A. Handelsman: Asymptotic Expansions of Integrals (Dover, New York 1986)
L.M. Brekhovskikh: Waves in Layered Media (Academic, New York 1960)
A. Erdelyi: Asymptotic Expansions (Dover, New York 1956).
L.B. Felsen, N. Marcuvitz: Radiation and Scattering of Waves (Prentice Hall, Englewood Cliffs, NJ 1973)
I.S. Gradshteyn, I.M. Ryzhik: Tables of Integrals, Series, and Products (Academic, New York 1965)
W. Magnus, F. Oberhettinger, R.P. Soni: Formulas and Theorems for the Special Functions of Mathematical Physics (Springer, New York 1966)
E.T. Whittaker, G.N. Watson: Modern Analysis (Cambridge Univ. Press, Cambridge 1962)
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© 1992 Springer-Verlag Berlin Heidelberg
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DeSanto, J.A. (1992). Spherical Waves Scattering from Planar Boundaries. In: Scalar Wave Theory. Springer Series on Wave Phenomena, vol 12. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84738-7_4
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DOI: https://doi.org/10.1007/978-3-642-84738-7_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-84740-0
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