1991
DOI: 10.1088/0959-7174/1/4/008
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Double passage analysis in random media using two-scale random propagators

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Cited by 17 publications
(8 citation statements)
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“…In the asymptotic regime we are considering, and as far as the reflected wave front p e ref is concerned, the nonlinear terms in (13) only manifest themselves via the damping term involving C 2k ð0Þ in (33). Similarly for the transmitted wave front p e tr , the nonlinear terms in (14) only manifest themselves via the damping term involving C 2k ð0Þ in (19).…”
Section: Generalized Schrödinger Model For the Reflection Operatormentioning
confidence: 99%
See 2 more Smart Citations
“…In the asymptotic regime we are considering, and as far as the reflected wave front p e ref is concerned, the nonlinear terms in (13) only manifest themselves via the damping term involving C 2k ð0Þ in (33). Similarly for the transmitted wave front p e tr , the nonlinear terms in (14) only manifest themselves via the damping term involving C 2k ð0Þ in (19).…”
Section: Generalized Schrödinger Model For the Reflection Operatormentioning
confidence: 99%
“…which comes from the interaction of the first term in the right-hand side of (A.1) with the dynamics for b T e as given in (14) and where we only show the shifted arguments for I N . The second term in the right-hand side of (A.1) interacts with the dynamics for b R e as given in (13) E½kðs; jÞkðs; ÀjÞð2pÞ d b C 0 ðjÞ ds dj;…”
Section: ðA:1þmentioning
confidence: 99%
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“…The m s includes multiple-scattering effects of the random medium and can be obtained by two-scale method (13) (20) (21) (29) . It is given by…”
Section: Formulationmentioning
confidence: 99%
“…0048-6604/94/93RS-02733508.00 lem has been known for some time [Vinogradov et al, 1973;Gurvich and Kashkarov, 1977]. As the analyses of the problem are typically formulated, however, it is difficult to verify that the enhancement is sufficiently narrow in angular extent to maintain energy conservation [Knepp and Houpis, 1991;Yeh, 1983;Mazar and Bronshtein, 1991].…”
Section: Introductionmentioning
confidence: 99%