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Propagators and Feynman diagrams for laterally heterogeneous elastic media

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Title
Propagators and Feynman diagrams for laterally heterogeneous elastic media
Other Titles
파인만다이아그램과 프로파게이터를 이용하여 나타낸 불균일탄성매질에서의 지진파 전파
Authors
Robert I. Odom
Park, Minkyu
Subject
Geochemistry & Geophysics
Keywords
seismic wave propagation; seismic wave scattering; seismo-acoustic mode coupling
Issue Date
2005
Publisher
Royal Astronomical Society
Citation
Robert I. Odom, Park, Minkyu. 2005. "Propagators and Feynman diagrams for laterally heterogeneous elastic media". GEOPHYSICAL JOURNAL INTERNATIONAL, 160(1): 289-301.
Abstract
The propagator for coupled-mode elastic waves can be cast into a number of different representations, which emphasize particular aspects of the wave propagation in a laterally heterogeneous medium. One representation has the form of a generalized scattering operator and contains a quantity that can be interpreted as the lateral impedance. Another representation reduces naturally to the JWKB approximation for smoothly varying media with no mode coupling. The propagator solution for the fields in a laterally heterogeneous elastic medium with weak random boundary fluctuations leads naturally to the application of Feynman diagram techniques for the derivation of Dyson's equation and the Bethe-Salpeter equation for the propagator mean and covariance, respectively. The diagram techniques are reviewed and their utility for solution of random media elastic wave problems is demonstrated.
URI
http://repository.kopri.re.kr/handle/201206/5839
DOI
http://dx.doi.org/10.1111/j.1365-246X.2004.02469.x
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