Weak Localization in Media with Refractive-Index Gradient: the Diffusion Approximation

Ilyushin, Ya. A.

doi:10.1007/s11141-015-9559-4

Radiophys Quantum El

2015

DOI: 10.1007/s11141-015-9559-4

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Weak Localization in Media with Refractive-Index Gradient: the Diffusion Approximation

Ya. A. Ilyushin

Abstract: UDC 535.36We consider the effect of weak localization of waves in the scattering medium with regular refractive-index gradient. The solution within the diffusion approximation of the radiative transfer theory is obtained. Reasonable qualitative agreement of the approximate solution with the results of numerical simulation is shown.

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Cited by 3 publications

References 13 publications

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Singular radiation fields in scattering media with refraction

Ilyushin

2021

J. Opt. Soc. Am. A

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Radiative transfer in scattering media with spatially varying refractive indices, such as plasma with density fluctuations, is considered. It has been shown that singularities of diffuse radiation intensity can appear in the scattered field if the gradient of the refractive index is strong enough. To do that, we solve the scalar radiative transfer equation approximately and then analyze the solution qualitatively. Examples of the analytic singular solutions of the scalar radiative transfer equation in flat layered and spherically symmetric media, typically occurring in remote sensing applications, are provided. Conditions of formation of these singularities are discussed. Monte Carlo simulation results exhibiting singularities are compared with the derived analytical solutions.

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Singular radiation fields in scattering media with refraction

Ilyushin

2021

J. Opt. Soc. Am. A

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Singularities of Diffuse Wave Fields in Scattering Media with Refractive Index Gradients

Ilyushin

2024

Moscow Univ. Phys.

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Singularities of Diffuse Wave Fields in Scattering Media with Refractive Index Gradients

Ilyushin

2024

VMU

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The subject of this paper is the radiative transfer in media with gradients of the refractive index. Asymptotic expressions of the intensity distributions in the vicinity of singular directions are derived. Critical conditions for the appearance of singular intensity distributions in fields of scattered radiation in a medium are formulated. It is shown that singular radiation fields in such media can be generated, among other things, by non-singular configurations of radiation sources. The obtained results are verified by direct comparison with the results of numerical calculations using the Monte Carlo statistical modeling method.

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Weak Localization in Media with Refractive-Index Gradient: the Diffusion Approximation

Cited by 3 publications

References 13 publications

Singular radiation fields in scattering media with refraction

Singular radiation fields in scattering media with refraction

Singularities of Diffuse Wave Fields in Scattering Media with Refractive Index Gradients

Singularities of Diffuse Wave Fields in Scattering Media with Refractive Index Gradients

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