Analytical formulation of the scattering by a slightly rough dielectric boundary, covered with a homogenous dielectric layer

Azadegan, R.; Sarabandi, Kamal

doi:10.1109/aps.2003.1219876

Cited by 17 publications

(23 citation statements)

References 3 publications

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“…Obviously, when the interfaces are supposed to be uncorrelated, the second term in [17] can be neglected and accordingly, in the first-order approximation, the total backscattering arises from the incoherent superposition of radiation backscattered from each interface. Finally, we underline that all the previous existing perturbative scattering models, introduced by other authors to deal with some simplified layered geometry with one [Yarovoy et al, 2000;Fuks, 2001;Azadegan et al, 2003;] or two [Tabatabaeenejad et al, 2006] rough interfaces, can be all rigorously regarded as a special cases of the general BPT solutions [Franceschetti et al, 2008]. Equations [17] and [20] provide a key result of our paper.…”

Section: = + +mentioning

confidence: 96%

“…The response of natural stratification to electromagnetic wave has received much attention in last decades, since its crucial role played in the remote sensing arena [Yarovoy et al, 2000;Fuks, 2001;Azadegan et al, 2003;Tabatabaeenejad et al, 2006;Franceschetti et al, 2008;Imperatore et al, 2009aImperatore et al, , 2009b. In this context, concerning the modeling of the superficial structure of the Earth, whose formation is inherently layered, the most general scheme that can be adopted includes the characterization of (piecewise) layered random media.…”

Section: Introduction and Motivationsmentioning

confidence: 99%

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Multi-Reaction and Scattering from Rough Multilayers

Imperatore

Iodice

Riccio

2012

European Journal of Remote Sensing

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This paper demonstrates how the evaluation of the electromagnetic scattering from 3D rough multilayers can be analytically conducted in the framework of the Volumetric Perturbative Reciprocal Theory (VPRT). The advantage of the proposed approach is twofold. Indeed, in this framework the pertinent closed-form (first-order) scattering solution is derived in a conceptually clean way and is directly interpreted in terms of the Rumsey's reaction concept. Accordingly, the concept of multireaction is introduced and discussed. Finally, it is important to note that methodologically the VPRT opens the way to the unified treatment of both interfacial and volumetric scattering in random media.

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Section: = + +mentioning

confidence: 96%

Section: Introduction and Motivationsmentioning

confidence: 99%

Multi-Reaction and Scattering from Rough Multilayers

Imperatore

Iodice

Riccio

2012

European Journal of Remote Sensing

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“…The electric and magnetic fields at the pointr in region m can be represented as a superposition of up-and down-going orthogonal polarized waves in spectral domain [7] E m (r) =…”

Section: Problem Definitionmentioning

confidence: 99%

“…In the application of remote sensing, the scattering models are helpful for understanding the forward problem of scattering from natural targets such as layered soil, sea ice, ionosphere, lunar surface, etc. [1][2][3][4][5][6][7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

“…Fuks has investigated problem of electromagnetic wave scattering from an arbitrary layered medium with rough surfaces using an equivalent current model [6]. Sarabandi et al have studied the radar response of a multi-layer dielectric media with a rough interface [7]. Franceschetti et al have analyzed the connection between the existing first-order SPM solutions for the scattering from a layered structure with a rough interface and casted the existing first-order models in a unified compact formulation.…”

Section: Introductionmentioning

confidence: 99%

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Theoretical Model of Electromagnetic Scattering From 3d Multi-Layer Dielectric Media With Slightly Rough Surfaces

Lin¹,

Zhang²,

Fang³

2009

PIER

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Abstract-A theoretical model of scattering from three-dimensional arbitrary layered media with 3D infinite rough surfaces based on the small perturbation method (SPM) is derived in the present paper. The scattering field and bistatic scattering coefficient for linear polarized waves are derived respectively. Firstly, the electric and magnetic fields in each region of the layered structure are expanded into perturbation series in spectral domain. Secondly, the expansion coefficients of each order are obtained by applying the boundary conditions. As a result, the expressions of the zeroth-, first-and second-order solutions of the scattering problem based on the SPM are obtained, in which the second-order solution is the primary contribution of this work. The theoretical model is helpful to understand the dependence between the scattering field and physical properties of the layered structure (such as surface roughness and dielectric constants at different depths). The result can be applied to modeling of the received radar signal from nature targets such as layered soil and ice with full polarizations.

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An accurate and fast forward model of three‐dimensional electromagnetic wave scattering in a layered structure with multilayer rough interfaces

Zhang

Fang

et al. 2015

Radio Science

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We develop an accurate and fast forward model for calculating the compact closed-form high-order perturbative solutions of the problem of three-dimensional (3-D) radiation and propagation electromagnetic fields in a layered structure with multilayer rough interfaces. The proposed method for the fast forward model is first demonstrated by strictly theoretical formulas derivation in the framework of classical small perturbation method (SPM) without other else approximation and equivalent process. The kernel functions of high order are proposed for calculating the radar cross sections with more efficiency and clear physical meanings for better use in practice. What is more, we give the clear physical interpretation of the first-order fully polarimetric electromagnetic wave scattering mechanism in the layered structure with multilayer rough interfaces. The proposed forward model is necessary to insure a successful inversion process. Furthermore, the high-order SPM solutions derived by employing the proposed method are validated with existing methods and numerical results. Finally, we study the performance of the high-order fully polarimetric electromagnetic wave scattering according to the numerical results and analyze the scattering enhancement phenomena.

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Analytical formulation of the scattering by a slightly rough dielectric boundary, covered with a homogenous dielectric layer

Cited by 17 publications

References 3 publications

Multi-Reaction and Scattering from Rough Multilayers

Multi-Reaction and Scattering from Rough Multilayers

Theoretical Model of Electromagnetic Scattering From 3d Multi-Layer Dielectric Media With Slightly Rough Surfaces

An accurate and fast forward model of three‐dimensional electromagnetic wave scattering in a layered structure with multilayer rough interfaces

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