Abstract
The study of wave phenomena in a material can often yield significant information about the characteristics of that material. In this monograph we shall be interested in how this can be achieved in a number of areas in the applied sciences. This study has been motivated by problems arising in such areas as, for example, radar, sonar, non-destructive testing and ultrasonic medical diagnosis. In all these areas a powerful diagnostic is the dynamical response of the media to a given excitation.
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References and Further Reading
T. Ikebe: Eigenfunction expansions associated with the Schrodinger Operators and their application to scattering, Theory. Arch. Rat. Mech. Anal. 5, 1960, 2–33.
P.D. Lax and R.S. Phillips: Scattering Theory, Academic Press, NewYork, 1967.
R. Leis: Initial Boundary Value Problems of Mathematical Physics, John Wiley & Sons, Chichester 1986.
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.
C.H. Wilcox: Scattering Theory for the d’Alembert Equation in Exterior Domains, Lecture Notes in Mathematics, No. 442, Springer, Berlin, 1975.
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© 2008 Springer-Verlag London Limited
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(2008). Introduction and Outline of Contents. In: An Introduction to Echo Analysis. Springer Monographs in Mathematics. Springer, London. https://doi.org/10.1007/978-1-84628-852-4_1
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DOI: https://doi.org/10.1007/978-1-84628-852-4_1
Publisher Name: Springer, London
Print ISBN: 978-1-84628-851-7
Online ISBN: 978-1-84628-852-4
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