A coupled surface-volume integral equation approach for the calculation of electromagnetic scattering from composite metallic and material targets

Lu, Cai‐Cheng; Chew, Weng Cho

doi:10.1109/8.901277

Cited by 161 publications

(76 citation statements)

References 9 publications

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“…In this section, the coupled volume-surface integral equation (VSIE) [4,17,18] is presented to calculate the electromagnetic scattering from composite conducting-dielectric arrays. Let S denote all the conducting surfaces and V denote the dielectric volumes, the boundary conditions of the VSIE can be expressed as [18] …”

Section: Basic Principle Of Vsiementioning

confidence: 99%

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Fast Direct Solution of Composite Conducting-Dielectric Arrays Using Sherman-Morrison-Woodbury Algorithm

Zhang¹,

Chen²,

Chao³

et al. 2016

PIER M

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Abstract-In this paper, the Sherman-Morrison-Woodbury (SMW) Formula-based algorithm (SMWA) is used to enable the fast direct solution of conducting-dielectric arrays. To speed up the direct solution of the matrix equation, the dense impedance matrix is transformed into a product of several block diagonal matrices via the SMW formula. In the grouping process, the situation that the elements of an array simultaneously belong to two different subgroups at peer level is avoided in order to promote the efficiency. The SMWA conducts the calculation with a respectable reduction in the computational time as well as memory.

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Section: Basic Principle Of Vsiementioning

confidence: 99%

“…To perform accurate numerical analysis, the method of moments (MoM) [3] is a good choice. Compared with the surface integral equation (SIE), the volume-surface integral equation (VSIE) [4] is more advantageous for analyzing targets including inhomogeneous anisotropic dielectrics.…”

Section: Introductionmentioning

confidence: 99%

Fast Direct Solution of Composite Conducting-Dielectric Arrays Using Sherman-Morrison-Woodbury Algorithm

Zhang¹,

Chen²,

Chao³

et al. 2016

PIER M

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“…[15] To overcome this problem, a different numerical treatment, based on the ideas reported in the work of Lu and Chew [2000] and Lu and Yu [2002] has been implemented. In this case a full Galerkin approach employing rooftop functions inside the dielectric objects is formulated (see Figure 4 for the definition of the basis and testing functions).…”

Section: Theoretical Outlinementioning

confidence: 99%

“…As regards the integral equation technique, some previous attempts for the analysis of finite microstrip structures have been reported, both using volume and surface equivalent formulations [Sarkar and Arvas, 1990;Chew et al, 2001]. Also, in the work of Lu and Chew [2000], metallic areas coated with dielectric regions were analyzed with a volume integral equation formulation, in the context of the calculation of the scattering properties of such objects. However, only very preliminary results of very simple microstrip antenna structures have been presented in the work of .…”

Section: Introductionmentioning

confidence: 99%

Analysis of finite microstrip structures using an efficient implementation of the integral equation technique

et al. 2005

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[1] An efficient numerical implementation of the integral equation technique (IE) has been developed for the analysis of the electrical characteristics of finite microstrip structures. The technique formulates a volume version of the IE for the finite dielectric objects and a standard surface IE technique for the metallic areas. The system of integral equations formulated is solved with special numerical techniques described in this paper. The input impedances of several microstrip antennas have been computed, showing good agreement with respect measurements. The technique has shown to be accurate, even for complex geometries containing several stacked dielectric layers. The radiation patterns of the structures have also been computed, and measured results from real manufactured hardware confirm that backside radiation and secondary lobes are accurately predicted by the theoretical model. The paper also discuss a suitable excitation model for finite size ground planes and investigates the possibilities for an independent meshing of the metallic areas and the dielectric objects inside a given geometry. The practical value of the approach derived is that microstrip circuits can be designed, minimizing the volume and size of the dielectric substrates.

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“…In general, the combined field integral equation (CFIE) is used for closed objects and electric field integral equation (EFIE) is used for open structures. For arbitrary inhomogeneous dielectric objects, the VIE or VSIE is more preferred [2].…”

Section: Introductionmentioning

confidence: 99%

Floating Interpolation Stencil Topology-Based Ie-FFT Algorithm

Yin¹,

Hu²,

Nie³

et al. 2011

PIER M

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Abstract-The integral equation fast Fourier transform (IE-FFT)is a fast algorithm for 3D electromagnetic scattering and radiation problems based on the interpolation of the Green's function. In this paper, a novel floating interpolation stencil topology is used to improve the IE-FFT algorithm. Compared to the traditional interpolation stencil topology, it can further reduce the storage and CPU time for the IE-FFT algorithm. The reduction is especially significant for volume integral equations. Furthermore, the accuracy of the algorithm is still good though the near-interaction element numbers are reduced. Finally, some numerical results including perfectly electric conductors, dielectric objects, composite conducting and dielectric objects are given to demonstrate the performance of the present method.

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A coupled surface-volume integral equation approach for the calculation of electromagnetic scattering from composite metallic and material targets

Cited by 161 publications

References 9 publications

Fast Direct Solution of Composite Conducting-Dielectric Arrays Using Sherman-Morrison-Woodbury Algorithm

Fast Direct Solution of Composite Conducting-Dielectric Arrays Using Sherman-Morrison-Woodbury Algorithm

Analysis of finite microstrip structures using an efficient implementation of the integral equation technique

Floating Interpolation Stencil Topology-Based Ie-FFT Algorithm

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