Backscattering enhancement of an electromagnetic wave scattered by two-dimensional rough layers

Soubret, Antoine; Berginc, Gérard; Bourrely, Claude

doi:10.1364/josaa.18.002778

Cited by 38 publications

(31 citation statements)

References 19 publications

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“…Such a derivation has been carried out for the case of a dielectric fi lm bounded by two two-dimensional rough surfaces. 23 Reduced Rayleigh equations for the amplitudes of p-and s-polarized light scattered from, or transmitted through, a fi lm bounded by two onedimensional rough surfaces have been obtained in two different forms. The fi rst form consists of a pair of coupled one-dimensional integral equations for the scattering and transmission amplitudes.…”

Section: Reduced Rayleigh Equations For the Scattering Of P-and S-polmentioning

confidence: 99%

“…Reduced Rayleigh equations for the scattering amplitudes have been obtained for fi lms with a single two-dimensional randomly rough surface 50,51 and for a fi lm with two two-dimensional randomly rough surfaces. 23 However, until now they have been solved only by small-amplitude perturbation theory. 23,50 A perturbative solution of this scattering problem, by means of the stochastic functional approach, has been carried out by Kawanishi et al 52 In this section we describe a nonperturbative, purely numerical solution of the reduced Rayleigh equation for the case where the dielectric fi lm has a two-dimensional randomly rough interface with a vacuum superstrate and a planar interface with a metallic substrate.…”

Section: 5mentioning

confidence: 99%

“…23 However, until now they have been solved only by small-amplitude perturbation theory. 23,50 A perturbative solution of this scattering problem, by means of the stochastic functional approach, has been carried out by Kawanishi et al 52 In this section we describe a nonperturbative, purely numerical solution of the reduced Rayleigh equation for the case where the dielectric fi lm has a two-dimensional randomly rough interface with a vacuum superstrate and a planar interface with a metallic substrate. 53 The system we consider consists of vacuum ( ε 1 ) in the region z > d + h ( x ); a dielectric fi lm ( ε 2 ) in the region 0 < z < d + h ( x ); and a lossy metal ( ε 3 ) in the region z < 0.…”

Section: 5mentioning

confidence: 99%

See 2 more Smart Citations

Scattering properties of random structures in thin films

Berginc

Maradudin

2013

Optical Thin Films and Coatings

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Section: Reduced Rayleigh Equations For the Scattering Of P-and S-polmentioning

confidence: 99%

Section: 5mentioning

confidence: 99%

Section: 5mentioning

confidence: 99%

See 1 more Smart Citation

Scattering properties of random structures in thin films

Berginc

Maradudin

2013

Optical Thin Films and Coatings

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“…Substituting (11), (12), (13) and (14) into (7)through (10) and imposing boundary conditions at result in the following:…”

Section: A Transmission and Reflection Matrices Of A Dielectric Rougmentioning

confidence: 99%

Electromagnetic Scattering From a Buried Cylinder in Layered Media With Rough Interfaces

Kuo

Moghaddam

2006

IEEE Trans. Antennas Propagat.

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A solution to scattering from a cylinder buried arbitrarily in layered media with rough interfaces based on extended boundary condition method (EBCM) and scattering matrix technique is developed. The reflection and transmission matrices of arbitrary rough interfaces as well as an isolated single cylinder are constructed using EBCM and recursive T-matrix algorithm, respectively. The cylinder/rough surface interactions are taken into account by applying the generalized scattering matrix technique. The scattering matrix technique is used to cascade reflection and transmission matrices from individual systems (i.e., rough surfaces or cylinders) in order to obtain the scattering pattern from the overall system. Bistatic scattering coefficients are then obtained by incoherently averaging the power computed from the resulting Floquet modes of the overall system. In numerical simulations, the bistatic scattering coefficients are first validated by comparing the simulation results with the existing solutions which are the limiting cases including scattering from two-interface rough surfaces without any buried object and from a buried cylinder beneath a single rough surface. Subsequently, the numerical simulations of scattering from a buried cylinder in layered rough surfaces are performed to investigate the relative importance and sensitivity of various physical parameters of layered rough surfaces to incoherent scattering coefficients. Results show layered rough interfaces can significantly alter the scattering behaviors of a buried cylinder.Index Terms-Buried objects, electromagnetic scattering, extended boundary condition method, multilayer rough surfaces, scattering matrix approach.

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“…The SPM is a low frequency approach valid for small roughness; most SPM studies consider only the first order terms [6,7]. High order corrections are included in [8][9][10][11][12][13][14], where fourth and higher order corrections are discussed in [11]. The SPM has also been extended to multilayer structures with an arbitrary number of layers [15][16][17][18], and the fourth order SPM has been applied to a two-layer geometry in [19].…”

Section: Introductionmentioning

confidence: 99%

Scattering and Transmission of Waves in Multiple Random Rough Surfaces: Energy Conservation Studies With the Second Order Small Perturbation Method

Wang¹,

Tsang²,

Johnson³

et al. 2016

PIER

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Abstract-Energy conservation is an important consideration in wave scattering and transmission from random rough surfaces and is particularly important in passive microwave remote sensing. In this paper, we study energy conservation in scattering from layered random rough surfaces using the second order small perturbation method (SPM2). SPM2 includes both first order incoherent scattering and a second order correction to the coherent fields. They are combined to compute the total reflected and transmitted powers, as a sum of integrations over wavenumber k x , in which each integration includes the surface power spectra of a rough interface weighted by an emission kernel function (assuming the roughness of each interface is uncorrelated). We calculate the corresponding kernel functions which are the power spectral densities for one-dimensional (1D) surfaces in 2D scattering problems and examine numerical results for the cases of 2 rough interfaces and 51 rough interfaces. Because it is known that the SPM when evaluated to second order conserves energy, and it can be applied to second order for arbitrary surface power spectra, energy conservation can be shown to be satisfied for each value of k x in the kernel functions. The numerical examples show that energy conservation is obeyed for any dielectric contrast, any layer configuration and interface, and arbitrary roughness spectra. The values of reflected or transmitted powers predicted, however, are accurate only to second order in small surface roughness.

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Backscattering enhancement of an electromagnetic wave scattered by two-dimensional rough layers

Cited by 38 publications

References 19 publications

Scattering properties of random structures in thin films

Scattering properties of random structures in thin films

Electromagnetic Scattering From a Buried Cylinder in Layered Media With Rough Interfaces

Scattering and Transmission of Waves in Multiple Random Rough Surfaces: Energy Conservation Studies With the Second Order Small Perturbation Method

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