Discussion of radiative-transfer methods applied to electromagnetic reflection from turbulent plasma

Wolf, D. de

doi:10.1109/tap.1972.1140315

Cited by 9 publications

(3 citation statements)

References 6 publications

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“…Formula (58) was found in Refs. [4,5] by using diagrammatic expansions. These references are prior to the recent research on enhanced backscattering and weak localization, and formula (58) is in these references called "enhancement of the Born approximation".…”

Section: Propositionmentioning

confidence: 99%

Random Backscattering in the Parabolic Scaling

Garnier

Sølna

2008

J Stat Phys

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In this paper we revisit the parabolic approximation for wave propagation in random media by taking into account backscattering. We obtain a system of transport equations for the moments of the components of reflection and transmission operators. In the regime in which forward scattering is strong and backward scattering is weak, we obtain closed form expressions for physically relevant quantities related to the reflected wave, such as the beam width, the spectral width and the mean spatial power profile. In particular, we analyze the enhanced backscattering phenomenon, that is, we show that the mean power reflected from an incident quasi-plane wave has a maximum in the backscattered direction. This enhancement can be observed in a small cone around the backscattered direction and we compute the enhancement factor as well as the shape of the enhanced backscattering cone.

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Section: Propositionmentioning

confidence: 99%

Random Backscattering in the Parabolic Scaling

Garnier

Sølna

2008

J Stat Phys

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“…The results in (1) are valid for either case. It is interesting to note that (1) appears very different from the results obtained using the multipleforward-scatter, single-backscatter approximation [de Wolf, 1971[de Wolf, , 1972Vinogradov and Kravtsov, 1973;lto and Adachi, 1977;Saichev, 1978;Malakhov and Saichev, 1979;Vinogradov and Teokharov, 1980;Saichev, 1980], which partially includes the effects of multiple scattering. Some reasons for these differences are discussed in Appendix A.…”

Section: Introductionmentioning

confidence: 89%

Generalization of the Booker‐Gordon formula to include multiple scattering

Fante¹

1982

Radio Science

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“…subject to intense study in the context of physics [2,23,38,35,32,36,37]. In [8,9,36] the enhanced backscattering is analyzed using diagrammatic expansions, while we here set forth a rigorous analysis in the paraxial regime. We will consider the case when there is backscattering from the medium itself which generates the enhanced backscattering cone, in the continuation of [11], while in [7,13] we considered the situation with backscattering from respectively an incoherent interface and from microscopic particles like aerosol.…”

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confidence: 99%

Enhanced Backscattering of a partially coherent field from an anisotropic random lossy medium

Garnier¹,

Sølna²

2021

Discrete &Amp; Continuous Dynamical Systems - B

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The weak localization or enhanced backscattering phenomenon has received a lot of attention in the literature. The enhanced backscattering cone refers to the situation that the wave backscattered by a random medium exhibits an enhanced intensity in a narrow cone around the incoming wave direction. This phenomenon can be analyzed by a formal path integral approach.Here a mathematical derivation of this result is given based on a system of equations that describes the second-order moments of the reflected wave. This system derives from a multiscale stochastic analysis of the wave field in the situation with high-frequency waves and propagation through a lossy medium with fine scale random microstructure. The theory identifies a duality relation between the spreading of the wave and the enhanced backscattering cone. It shows how the cone, its regularity and width relate to the statistical structure of the random medium. We discuss how this information in particular can be used to estimate the internal structure of the random medium based on observations of the reflected wave.

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Discussion of radiative-transfer methods applied to electromagnetic reflection from turbulent plasma

Cited by 9 publications

References 6 publications

Random Backscattering in the Parabolic Scaling

Random Backscattering in the Parabolic Scaling

Generalization of the Booker‐Gordon formula to include multiple scattering

Enhanced Backscattering of a partially coherent field from an anisotropic random lossy medium

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