Abstract
In this work we implement the path integral approach to the general problem of wave propagation in random media. For this purpose we apply the method originally proposed by Fock for the integration of quantum mechanical equations. The principal idea of the method is based on the introduction of an additional pseudotime variable and the transfer to a higher-dimensional space, in which the propagation process is described by a generalized parabolic equation similar to the nonstationary Schrodinger equation in quantum mechanics [G. Samelsohn and R. Mazar, Phys. Rev. E 54, (1996)]. We present its solution in a form of the Feynman path integral, the asymptotic evaluation of which allows us to estimate the so-called wave correction terms. These corrections are related to coherent backscattering, i.e. to the phenomenon which can not be described in the framework of conventional theories of radiative transfer or small-angle scattering.
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© 1997 Springer Science+Business Media New York
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Samelsohn, G. (1997). Path-Integral Analysis of Wave Propagation in Multiple-Scattering Random Media. In: DeWitt-Morette, C., Cartier, P., Folacci, A. (eds) Functional Integration. NATO ASI Series, vol 361. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-0319-8_26
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DOI: https://doi.org/10.1007/978-1-4899-0319-8_26
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4899-0321-1
Online ISBN: 978-1-4899-0319-8
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