A Hybrid Method for the Study of Plane Waves Scattering by Rough Surfaces

Edee, Kofi; Granet, G.; Dusséaux, Richard; Baudier, C.

doi:10.1163/1569393042955423

Cited by 7 publications

(4 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…However, the introduction of the inner GMRES method also consumes much computational costs. And the overall convergence improvement depends on the balance of the acceleration effect and the added computational cost [19][20][21][22][23][24][25][26][27][28].…”

Section: Gmres-ir Dgmres Fgmres Gmresrmentioning

confidence: 99%

Adaptively Accelerated Gmres Fast Fourier Transform Method for Electromagnetic Scattering

Xin¹,

Rui²

2008

PIER

View full text Add to dashboard Cite

Abstract-The problem of electromagnetic scattering by 3D dielectric bodies is formulated in terms of a weak-form volume integral equation. Applying Galerkin's method with rooftop functions as basis and testing functions, the integral equation can be usually solved by Krylov-subspace fast Fourier transform (FFT) iterative methods. In this paper, the generalized minimum residual (GMRES)-FFT method is used to solve this integral equation, and several adaptive acceleration techniques are proposed to improve the convergence rate of the GMRES-FFT method. On several electromagnetic scattering problems, the performance of these adaptively accelerated GMRES-FFT methods are thoroughly analyzed and compared.

show abstract

Section: Gmres-ir Dgmres Fgmres Gmresrmentioning

confidence: 99%

Adaptively Accelerated Gmres Fast Fourier Transform Method for Electromagnetic Scattering

Xin¹,

Rui²

2008

PIER

View full text Add to dashboard Cite

show abstract

“…We could develop an approximate scattering theory for the wood surface considering it a rough surface [13][14][15][16][17][18][19]. However, these periodic patterns are a better starting point to model the scattering of coherent light by biological tissues, because the iterated images prove that they are not entirely random.…”

Section: Theoretical Backgroundmentioning

confidence: 99%

Empirical Characterization of Wood Surfaces by Means of Iterative Autocorrelation of Laser Speckle Patterns.

Rojas¹,

Alpuente²,

Bolivar³

et al. 2008

PIER

View full text Add to dashboard Cite

Abstract-A simple and inexpensive method for the qualitative characterization of wood surfaces is presented. It is based on the iterative autocorrelation of laser speckle patterns produced by diffuse laser illumination of the wood surfaces. The method exploits the high spatial frequency content of speckle images. A similar approach with raw conventional photographs taken with ordinary light would be very difficult. A few iterations of the algorithm are necessary, typically three or four, in order to visualize the most important periodic features of the surface. The processed patterns help in the study of surface parameters, to design new scattering models and to classify the wood species.

show abstract

“…After that, works based on the use of differential forms were proposed by Teixeira and Chew [15]. In the frame of the methods made for diffraction gratings, some attempts of extension to aperiodic structures concerned the differential method [9], the FMM [10], and the C-method [16][17][18][19][20]. Other adaptations of PMLs to the FMM were introduced by Silberstein et al [21] and Hugonin and Lalanne [22] in the case of planar waveguides.…”

Section: Introductionmentioning

confidence: 99%

Modal method based on subsectional Gegenbauer polynomial expansion for nonperiodic structures: complex coordinates implementation

Edee

Guizal

2013

J. Opt. Soc. Am. A

View full text Add to dashboard Cite

In this paper we present an extension of the modal method by Gegenbauer expansion (MMGE) [J. Opt. Soc. Am. A28, 2006 (2011)], [Progress Electromagn. Res.133, 17 (2013)] to the study of nonperiodic problems. The nonperiodicity is introduced through the perfectly matched layers (PMLs) concept, which can be introduced in an equivalent way either by a change of coordinates or by the use of a uniaxial anisotropic medium. These PMLs can generate strong irregularities of the electromagnetic fields that can significantly alter the convergence and stability of the numerical scheme. This is the case, e.g., for the famous Fourier modal method, especially when using complex stretching coordinates. In this work, it will be shown that the MMGE equipped with PMLs is a robust approach because of its natural immunity against spurious modes.

show abstract

A Hybrid Method for the Study of Plane Waves Scattering by Rough Surfaces

Cited by 7 publications

References 8 publications

Adaptively Accelerated Gmres Fast Fourier Transform Method for Electromagnetic Scattering

Adaptively Accelerated Gmres Fast Fourier Transform Method for Electromagnetic Scattering

Empirical Characterization of Wood Surfaces by Means of Iterative Autocorrelation of Laser Speckle Patterns.

Modal method based on subsectional Gegenbauer polynomial expansion for nonperiodic structures: complex coordinates implementation

Contact Info

Product

Resources

About