Scattering of a Plane Wave by Rough Surfaces: A New Curvilinear Coordinate System Based Approach

Granet, G.; Edee, Kofi; Felbacq, Didier

doi:10.2528/pier02032100

Cited by 8 publications

(6 citation statements)

References 7 publications

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“…The method presented in this paper is based on the curvilinear coordinate method (C method) [13][14][15], which relies on converting a rough surface into a plane through a change of coordinates. In the present method, a coordinate system is defined from the profile of the arbitrary cross section of the waveguide.…”

Section: Introductionmentioning

confidence: 99%

Mode solver based on Gegenbauer polynomial expansion for cylindrical structures with arbitrary cross sections

et al. 2014

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We present a modal method for the computation of eigenmodes of cylindrical structures with arbitrary cross sections. These modes are found as eigenvectors of a matrix eigenvalue equation that is obtained by introducing a new coordinate system that takes into account the profile of the cross section. We show that the use of Hertz potentials is suitable for the derivation of this eigenvalue equation and that the modal method based on Gegenbauer expansion (MMGE) is an efficient tool for the numerical solution of this equation. Results are successfully compared for both perfectly conducting and dielectric structures. A complex coordinate version of the MMGE is introduced to solve the dielectric case.

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Section: Introductionmentioning

confidence: 99%

Mode solver based on Gegenbauer polynomial expansion for cylindrical structures with arbitrary cross sections

et al. 2014

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“…For several years, Baudier et al [1], [2] have developed an exact model based on the curvilinear coordinate method (CCM) that gives the scattering coefficients of a static onedimensional rough surface illuminated by a plane wave.…”

Section: Introductionmentioning

confidence: 99%

Scattering by a Time Evolving Rough Surface based on a Curvilinear Coordinate Approach

Coatanhay

2006

2006 IEEE International Symposium on Geoscience and Remote Sensing

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“…But, for many practical applications, approximate solutions are sufficient [15][16][17]. In the field of radar remote sensing, various approximate methods for wave scattering at rough surfaces have been developed [18,19].…”

Section: Scattered Fields Calculationmentioning

confidence: 99%

A New Method to Extract the Polarimetric Parameters in Imaging Radars

Zakeri¹,

Ghorbani²,

Davar³

2008

PIER

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Abstract-In this paper, a statistical approach to evaluate randomly rough surfaces (RRS) in an inverse scattering problem is presented. Whereas in these investigations the roughness criterions possess random variables, the use of deterministic techniques such as the target decomposition (TD) can not be useful by itself as a tool of analysis. In these conditions, a statistical approach is essentially required to evaluate the target parameters. The goal of this study is the estimation of the polarimetric signatures, such as the scattering mechanism α and the entropy H, via a novel approach including the combination of TD and a new statistical model. To validate our work, SAR data sets, provided by the European Space Agency (ESA), are analyzed and compared with the simulation results.

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Scattering of a Plane Wave by Rough Surfaces: A New Curvilinear Coordinate System Based Approach

Cited by 8 publications

References 7 publications

Mode solver based on Gegenbauer polynomial expansion for cylindrical structures with arbitrary cross sections

Mode solver based on Gegenbauer polynomial expansion for cylindrical structures with arbitrary cross sections

Scattering by a Time Evolving Rough Surface based on a Curvilinear Coordinate Approach

A New Method to Extract the Polarimetric Parameters in Imaging Radars

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