A novel acceleration algorithm for the computation of scattering from rough surfaces with the forward‐backward method

Chou, Hsi‐Tseng; Johnson, Joel T.

doi:10.1029/98rs01888

Cited by 162 publications

(115 citation statements)

References 20 publications

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“…(9). The criterions in selecting in C δ and implementing for the spectral integral have been well described in [6,10,3,23].…”

Section: The Saa Of Green's Functionmentioning

confidence: 99%

“…The operational counts is O(N 2 ) (of order N 2 ) and, thus, the simulation of quite large surfaces becomes possible, even for low grazing angle (LGA) incidence. The FBM for PEC rough surface has been accelerated by novel SAA first described in [3], and then implemented for both MFIE and electric field integral equation (EFIE) in [4]. The computational cost and storage requirements are further reduced to O(N ).…”

Section: Introductionmentioning

confidence: 99%

“…If both two parts are only singlevalue function of abscissa x rather then multi-value function of x, for example, a conducting Six-Side Polygon Object (SSPO) (see Region 2 and 3 in Fig. 1), the aforementioned FBM(/SAA) [1][2][3][4][5][6][7][8][9][10][11][12] can't be simple used to solve the kind of composite rough surface problem, although the FBM (or equivalent MOMI) can be used to calculate scattering from closed contour of conducting object, for examples, 2-dimensional infinite elliptical cylinders ( [24] and [25]). So the FBM/SAA need be further developed by introduced new calculation technique to solve this kind of inhomogeneous composite rough surface problem.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Bistatic Scattering From Rough Dielectric Soil Surface With a Conducting Object With Arbitrary Closed Contour Partially Buried by Using the FBM/Saa Method

Li¹

2007

PIER

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Abstract-A hybrid approach of the forward-backward method (FBM) with spectral accelerate algorithm (SAA) and Monte Carlo method is developed in this paper. It is applied to numerical simulation of bistatic scattering from one-dimensional arbitrary dielectric constant soil surface with a conducting object with arbitrary closed contour partially buried under both the horizontal and vertical polarization tapered wave incidence at low grazing angle. The energy conservation has been checked for the FBM/SAA. Numerical simulations of bistatic scattering at low grazing angle have been discussed in this paper.

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“…(9). The criterions in selecting in C δ and implementing for the spectral integral have been well described in [6,10,3,23].…”

Section: The Saa Of Green's Functionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Bistatic Scattering From Rough Dielectric Soil Surface With a Conducting Object With Arbitrary Closed Contour Partially Buried by Using the FBM/Saa Method

Li¹

2007

PIER

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“…The current induced on the strips is solved for using the method of moments and computed by standard iterative solvers such as the conjugate gradient (CG) or forward-backward method (F-BM) [Hottiday et at., 1996[Hottiday et at., , 1998]. At the core of the proposed approach a novel spectral algorithm (NSA), recently proposed by Chou and Johnson [1998] in the context of the computation of scattering from rough surfaces, is used to reduce the computational cost of the matrix-vector products involved in those algorithms to O(N).…”

Section: Valero and Rojas: Fast Solution For Large 2-d Microstrip Strmentioning

confidence: 99%

Fast analysis of electromagnetic scattering from finite strip gratings on a grounded dielectric slab

Valero¹,

Rojas²

2000

Radio Science

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Abstract. A fast and accurate algorithm is explored for solving two-dimensional electromagnetic scattering from electrically large finite strip arrays on grounded dielectric slabs. The induced current is computed efficiently using the novel spectral algorithm, a recently proposed fast single-level matrix-vector product algorithm that reduces the operation count to O(N), where N is the number of unknowns. This algorithm was originally cast into a forward-backward method, but it can equally be used to accelerate the matrix-vector products on conjugate gradient techniques. Both, transverse magnetic and transverse electric polarizations have been considered.

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“…Recently we have developed a highly efficient and robust numerical method for the analysis of scattering from randomly rough surfaces. In this method, a generalized minimal residual procedure which is right preconditioned (GMRES-RP) [14] with the forward-backward method (FBM) [15], in combination with the spectral acceleration (SA) [16,17] technique to expedite the computation of matrix-vector product. The applied preconditioning is found to transform the original linear system from near singular to stable with a good condition number; specifically, the spectrum of the preconditioned matrix is found condensed in the vicinity of the point 1 in the complex plane, an indicator of the good approximation quality of the preconditioner to the original matrix.…”

Section: Introductionmentioning

confidence: 99%

Comparison of the Two-Scale and Three-Scale Models for Bistatic Electromagnetic Scattering From Ocean Surfaces

Luo¹,

Du²

2013

PIER

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Abstract-With rapid development of satellite technology in monitoring the ocean, a good understanding of the physical processes involved in the electromagnetic ocean-surface interaction is required. The composite surface models are usually applied in the analysis of the interaction, hence a systematical check of their region of validity is desirable. Based on a generalized minimal residual procedure which is right preconditioned (GMRES-RP) that we have recently developed which has demonstrated the desirable properties of a numerical algorithm: robust and efficient, in this paper, for bistatic scattering from one dimensional ocean surfaces, we carry out a systematic assessment of the performance of the popular two-scale model and the advanced three-scale model under different conditions of ocean surface wind speeds, polarizations, frequencies, and incidence angles. It is found that the two-scale model in general captures the bistatic scattering pattern, yet the accuracy of geometrical optics (GO) for the large scale wave brings considerable impact on the overall accuracy. If the evaluation of the contribution of the large scale wave is instead using direct numerical integration for the corresponding Kirchhoff integral, impressive improvements are frequently observed, especially at low frequency (L and C bands) and low wind speed (3 m/s). But care should be taken when apply two-scale method with numerical integration, since there are cases where visible discrepancy with method of moment (MoM) are observed. On the other hand, the threescale model is found in very good agreement with MoM across the considered ocean surface wind speeds, polarizations, frequencies, and incidence angles, hence represents a much advanced model over the two-scale model.

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A novel acceleration algorithm for the computation of scattering from rough surfaces with the forward‐backward method

Abstract: Abstract.The

Cited by 162 publications

References 20 publications

Bistatic Scattering From Rough Dielectric Soil Surface With a Conducting Object With Arbitrary Closed Contour Partially Buried by Using the FBM/Saa Method

Bistatic Scattering From Rough Dielectric Soil Surface With a Conducting Object With Arbitrary Closed Contour Partially Buried by Using the FBM/Saa Method

Fast analysis of electromagnetic scattering from finite strip gratings on a grounded dielectric slab

Comparison of the Two-Scale and Three-Scale Models for Bistatic Electromagnetic Scattering From Ocean Surfaces

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