Multilevel Green's function interpolation method for scattering from composite metallic and dielectric objects

Shi, Yan; Wang, Hao Gang; Li, Long; Chan, Chi Hou

doi:10.1364/josaa.25.002548

Cited by 3 publications

(9 citation statements)

References 24 publications

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“…Each subcube is recursively subdivided into smaller cubes until the finest cubes satisfy the termination criterion. For two elements in same or adjacent finest cubes, their interaction is directly calculated; while the interaction between two elements in non-adjacent cubes is approximately calculated using multilevel interpolation technique [22][23][24][25][26][27]. By observing (22)- (26), we can find that matrix elements are composed of a general integral expression:…”

Section: Multilevel Green's Function Interpolation Methodsmentioning

confidence: 99%

“…By handling the same or adjacent finest cubes and nonadjacent cubes separately as shown above, the MLGFIM can achieve its memory saving and CPU reduction [22][23][24][25][26][27]. The near interactions are directly calculated and saved in a sparse matrix, and therefore require O (N ) memory requirement; the far interactions are approximately computed using multilevel interpolation techniques with the storage also of O (N ).…”

Section: Multilevel Green's Function Interpolation Methodsmentioning

confidence: 99%

“…All in all, memory requirement and computational complexity of MLGFIM are O (N ) and O (N log N ), respectively. Detailed complexities analysis and interpolation techniques about the MLGFIM may refer to [22][23][24][25][26][27].…”

Section: Multilevel Green's Function Interpolation Methodsmentioning

confidence: 99%

“…More recently, a kernel independent approach, i.e., multilevel Green's function interpolation method (MLGFIM) [22][23][24][25][26][27] has been proposed to solve complex EM problems. It inherits the tree structure of the kernel dependent MLFMA and combines interpolation ideas of PFFT.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Multilevel Green's Function Interpolation Method Solution of Volume/Surface Integral Equation for Mixed Conducting/Bi-Isotropic Objects

Shi¹,

Luan²,

Qin³

et al. 2010

PIER

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Abstract-This paper proposes a multilevel Green's function interpolation method (MLGFIM) to solve electromagnetic scattering from objects comprising both conductor and bi-isotropic objects using volume/surface integral equation (VSIE). Based on equivalence principle, the volume integral equation (VIE) in terms of volume electric and magnetic flux densities and surface integral equation (SIE) in terms of surface electric current density are first formulated for inhomogeneous bi-isotropic and conducting objects, respectively, and then are discretized using the method of moments (MoM). The MLGFIM is adopted to speed up the iterative solution of the resultant equation and reduces the memory requirement. Numerical examples are presented to show good accuracy and versatility of the proposed algorithm in dealing with a wide array of scattering problems.

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Section: Multilevel Green's Function Interpolation Methodsmentioning

confidence: 99%

Section: Multilevel Green's Function Interpolation Methodsmentioning

confidence: 99%

Section: Multilevel Green's Function Interpolation Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Multilevel Green's Function Interpolation Method Solution of Volume/Surface Integral Equation for Mixed Conducting/Bi-Isotropic Objects

Shi¹,

Luan²,

Qin³

et al. 2010

PIER

Self Cite

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show abstract

“…Despite this, the computational requirements for MoM solution of this type of problems are still very high. In this paper, the multilevel Green's function interpolation method (MLGFIM) [14][15][16][17] is developed to deal with this problem.…”

Section: Introductionmentioning

confidence: 99%

Solution to Electromagnetic Scattering by Bi-Isotropic Media Using Multilevel Green's Function Interpolation Method

Shi

Chan²

2009

PIER

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Abstract-In this paper, a multilevel Green's function interpolation method (MLGFIM) is developed to analyze electromagnetic scattering from an arbitrarily shaped three-dimensional objects comprised of both conductor and bi-isotropic media. The field decomposition method is adopted to split the homogeneous bi-isotropic media into two uncoupled isotropic media instead of direct calculation of complicated Green's function in bi-isotropic material. The problem is formulated using the Paggio-Miller-Chang-Harrington-WuTsai (PMCHWT) approach for multiple homogeneous isotropic media and electric field approach for conducting bodies. The resultant integral equations are discretized by the method of moment (MoM) and iteratively solved by MLGFIM. Numerical examples illustrate accuracy of this algorithm and CPU time of O(N log N ) and memory requirement of O(N ).

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Electromagnetic scattering from three-dimensional Bi-isotropic media using multilevel Green's function interpolation method

Qing

Shi

et al. 2010

2010 International Symposium on Signals, Systems and Electronics

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In this paper, the field decomposition method is used to split the homogeneous Bi-isotropic media into two uncoupled isotropic media instead of direct calculation of complicated Green's function in Bi-isotropic material. The construction of formulation using Poggio-Miller-Change-Harrington-Wu-Tsai (PMCHWT) integral equation for multiple homogenous dielectric objects and the electric field integral equation(EFIE) for conducting objects. The multilevel Green's function interpolation method (MLGFIM) is used to iteratively solve the resultant problem. Its multilevel discretization can speed up the matrix-vector multiplication in the iterative solution, which requires computational complexity of ) log ( N N O and memory cost of ) (N O . The resultant system is solved by generalized minimum residual with deflating restarting (GMRES-DR ).

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Multilevel Green's function interpolation method for scattering from composite metallic and dielectric objects

Cited by 3 publications

References 24 publications

Multilevel Green's Function Interpolation Method Solution of Volume/Surface Integral Equation for Mixed Conducting/Bi-Isotropic Objects

Multilevel Green's Function Interpolation Method Solution of Volume/Surface Integral Equation for Mixed Conducting/Bi-Isotropic Objects

Solution to Electromagnetic Scattering by Bi-Isotropic Media Using Multilevel Green's Function Interpolation Method

Electromagnetic scattering from three-dimensional Bi-isotropic media using multilevel Green's function interpolation method

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