Abstract
In the previous chapter we discussed acoustic wave scattering processes in a nonhomogeneous medium, specifically in a stratified medium. There we saw that the stratification could give rise to trapped wave phenomena.
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References and Further Reading
R.A. Adams: Sobolev Spaces, Academic Press, New York, 1975.
G. Birkhoff and G.-C. Rota: Ordinary Differential Equations (3rd Edn), John Wiley, New York, 1978.
E. Coddington and Levinson: Theory of Ordinary Differential Equations. McGraw-Hill, New York, 1955.
M.S.P. Eastham: Theory of Ordinary Differential Equations, Van Nostrand, London, 1970.
D.M. Eidus: The principle of limiting absorption, Math. Sb., 57(99), 1962 and AMS Transl., 47(2), 1965, 157-191.
D.M. Eidus: The principle of limiting amplitude, Uspekhi Mat. Nauk. 24(3), 1969, 91–156 and Russ. Math. Surv. 24(3), 1969, 97-167.
R. Leis: Initial Boundary Value Problems in Mathematical Physics, John Wiley, Chichester, 1986.
M. Reed and B. Simon: Methods of Mathematical Physics, Vols 1-4, Academic Press, New York, 1972-1979.
G.F. Roach: Greens Functions (2nd Edn), Cambridge Univ. Press, London, 1970/1982.
G.F. Roach: An Introduction to Linear and Nonlinear Scattering Theory, Pitman Monographs and Surveys in Pure and Applied Mathematics, Vol. 78, Longman, Essex, 1995.
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© 2008 Springer-Verlag London Limited
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(2008). Scattering in Spatially Periodic Media. In: An Introduction to Echo Analysis. Springer Monographs in Mathematics. Springer, London. https://doi.org/10.1007/978-1-84628-852-4_9
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DOI: https://doi.org/10.1007/978-1-84628-852-4_9
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