Multilevel expansion of the sparse-matrix canonical grid method for two-dimensional random rough surfaces

Li, S.Q.; Chan, Chi Hou; Xia, Ming; Tsang, Leung

doi:10.1109/igarss.2000.860353

Cited by 13 publications

(12 citation statements)

References 21 publications

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“…The further work is to develop this method to extend the study to threedimensional problems, which are especially a grand challenge because the ordinary numerical methods may be intractable for electrically large composite surface geometries. Fast and advanced numerical methods combined with parallel methods must be exploited such as Fast Multipole Method (FMM) [23,24] and Sparse Matrix Canonical Grid (SMCG) [25,26]. The results of these investigations will appear in the future submissions.…”

Section: Discussionmentioning

confidence: 99%

Study on Em Scattering From 2-D Target Above 1-D Large Scale Rough Surface With Low Grazing Incidence by Parallel Mom Based on Pc Clusters

Guo

Wang²,

Ma³

2009

PIER

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Abstract-Based on message passing interface (MPI) of the PC Clusters, the parallel method of moment (MOM) is applied to the electromagnetic (EM) scattering from one dimensional (1-D) large scale PEC Gaussian rough surface with two dimensional (2-D) PEC cylinder above it with low grazing incidence. The conjugate gradient method (CGM) for solving MOM matrix equation is parallelized according to the property of MPI in this work.The parallel computational efficiency and validity are shown by several numerical simulations, in which it is proved that the proposed method supplies a novel technique for solving the problem of the composite EM scattering for a 2-D target above 1-D large scale rough surface. Finally, the influences of root mean square (rms) height, the correlation length of the Gaussian surface, the size and the altitude of the cylinder, the polarization on the bistatic scattering coefficient (BSC) for low grazing incidence are also discussed in detail.

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Section: Discussionmentioning

confidence: 99%

Study on Em Scattering From 2-D Target Above 1-D Large Scale Rough Surface With Low Grazing Incidence by Parallel Mom Based on Pc Clusters

Guo

Wang²,

Ma³

2009

PIER

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“…This technique has been used in [29] with alternative iterative methods; the expression of the coefficients of the matrix appear in this paper. In [30], the method has been improved with a multilevel canonical grid technique; the time cost is now and details of the implementation can be found in [31].…”

Section: Numerical Implementation For Perfectly Conducting Surfacesmentioning

confidence: 99%

Scattering of Electromagnetic Waves From Rough Surfaces: A Boundary Integral Method for Low-Grazing Angles

Spiga

Soriano

Saillard

2008

IEEE Trans. Antennas Propagat.

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Abstract-We present a boundary integral method for the numerical solution of the rigorous problem of wave scattering from rough surfaces under grazing illumination. The model of a locally perturbated plane is adopted: a finite patch of rough surface has its roughness flattened at the edges. The boundary formulation unknowns are the tangential components of the scattered field, defined as the contribution from the rough area. This way, the numerical domain of study is correctly bounded, even with a plane wave as incident field, and the sampled area is made independent of the incidence. This rigorous approach, called the grazing method of moments, is implemented on two-dimensional perfectly conducting surfaces and validated by comparison with a reference numerical solution for surfaces with Gaussian correlation functions. Now, the validity of approximate models at low-grazing-angles can be investigated; the small perturbation method and the small slope approximation are addressed in this paper. Scattering diagrams show how the performances of these methods deteriorate drastically at backward scattering angles as the incidence goes to grazing.

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“…For 2-D surfaces, N becomes very large; thus, advanced numerical schemes have been proposed. We use a multilevel canonical grid technique [21]; memory use and time cost are reduced to O(N ) and O(N log N ), respectively; details of the implementation can be found in [9].…”

Section: Numerical Implementationmentioning

confidence: 99%

Rigorous Simulations of Microwave Scattering From Finite Conductivity Two-Dimensional Sea Surfaces at Low Grazing Angles

Miret

Soriano

Saillard

2014

IEEE Trans. Geosci. Remote Sensing

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Abstract-We present a boundary integral method for the solution of the rigorous problem of microwave scattering from finite conductivity sea surfaces under grazing illumination. Following the locally perturbated plane approach, the roughness is flattened at the edges of a finite patch, allowing us to use a plane wave as incident field. Both theoretical formulation and numerical implementation are addressed. We present simulations of full-polarization radar cross-sectional diagrams for 2-D ocean-like surfaces in both bistatic and monostatic configurations. The conductivity of the sea water is taken into account with a curved surface-impedance approximation, and results are compared with a perfectly conducting surface model. Simulations are finally confronted to approximate theories and empirical sea backscatter models for low grazing angles at L-band, vertical polarization, and a wind speed of 3 m/s.

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Multilevel expansion of the sparse-matrix canonical grid method for two-dimensional random rough surfaces

Cited by 13 publications

References 21 publications

Study on Em Scattering From 2-D Target Above 1-D Large Scale Rough Surface With Low Grazing Incidence by Parallel Mom Based on Pc Clusters

Study on Em Scattering From 2-D Target Above 1-D Large Scale Rough Surface With Low Grazing Incidence by Parallel Mom Based on Pc Clusters

Scattering of Electromagnetic Waves From Rough Surfaces: A Boundary Integral Method for Low-Grazing Angles

Rigorous Simulations of Microwave Scattering From Finite Conductivity Two-Dimensional Sea Surfaces at Low Grazing Angles

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