Double passage analysis in random media using two-scale random propagators

Mazar, Reuven; Bronshtein, Alexander

doi:10.1088/0959-7174/1/4/008

Cited by 17 publications

(8 citation statements)

References 26 publications

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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%

“…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%

“…The usual approach found in most papers is to apply the paraxial wave equation in both directions of propagation and to assume that the statistics of the forward-and backward-propagating waves are independent [18][19][20]. However, some authors have already noticed that the correlation of the forward-backward propagating events can induce modifications of the autocorrelation function of the reflected wave [13,14]. In our paper we analyze the full statistical distribution of the transmitted and reflected waves.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Scaling limits for wave pulse transmission and reflection operators

Garnier¹,

Sølna²

2009

Wave Motion

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Section: Generalized Schrödinger Model For the Reflection Operatormentioning

confidence: 99%

Section: ðA:1þmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Scaling limits for wave pulse transmission and reflection operators

Garnier¹,

Sølna²

2009

Wave Motion

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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%

Scattering by Conducting Bodies in Random Media

2004

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This paper presents that scattering by a body in a random medium consists of the following two issues; one is scattering of spatially partially coherent wave by the body and the other is coupling between incident and scattered waves through the random medium. Investigating separately each issue makes the scattering more understandable. The numerical analysis of scattered power by conducting cylinders leads to the radar cross-sections quite different from those in free space, under the condition that the radar cross-section of the random medium is negligibly small. The causes of the difference are explained on the basis of above separation of the scattering, and we emphasize that the spatial coherence length of incident wave is one of key parameters for estimating the cross sections.

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“…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%

Double‐passage radar cross section enhancements

Rino¹

1994

Radio Science

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Transionospheric radar measurements reported by Knepp and Houpis (1991) verify the backscatter enhancement known to be associated with the double‐passage problem. Knepp and Reinking (1989) showed, moreover, that the enhancement is proportional to the intensity scintillation index on the one‐way path. While this result is easily derived, it is more difficult to characterize the complete angular distribution of backscattered waves of which the radar measurement represents one component. In this paper we develop a simple product expression for the backscattered spectrum from an incident plane wave. The spectrum of backscattered waves from a point source is then derived by transformation of the plane‐wave result. Motivated by a discussion in a recent paper by Fremouw and Ishimaru (1992), we show that both reciprocity and energy conservation are preserved in our wave‐space formulation, which is essentially exact. We also discuss the method of computing the scattering functions and the fourth‐order moments that appear in our results; however, the general expressions are the principal results of this paper.

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Double passage analysis in random media using two-scale random propagators

Cited by 17 publications

References 26 publications

Scaling limits for wave pulse transmission and reflection operators

Scaling limits for wave pulse transmission and reflection operators

Scattering by Conducting Bodies in Random Media

Double‐passage radar cross section enhancements

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