A Novel Iterative Solution of the Three Dimensional Electric Field Integral Equation

Brennan, Conor; Cullen, P.J.; Condon, Marissa

doi:10.1109/tap.2004.834405

Cited by 28 publications

(20 citation statements)

References 6 publications

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“…The focus of this paper is the modeling of 2D THz dielectric band gap waveguides using an accelerated integral equation formulation referred to as the Buffered Block Forward Backward (BBFB) method [6,7,8]. The BBFB technique represents a variation of the Successive overrelaxation method and it is employed in solving the matrix equation obtained by applying the MoM to the Integral Equation formulation.…”

Section: Buffered Block Forward Backward Methodsmentioning

confidence: 99%

Design of 2D TeraHertz band-gap photonic waveguides using an accelerated integral equation technique

Bogusevschi

Degirmenci

Brennan

et al. 2009

2009 International Conference on Electromagnetics in Advanced Applications

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-This paper describes the application of the Buffered Block Forward Backward (BBFB) method to the problem of modeling 2D TeraHertz (THz) photonic band gap waveguides at the frequency of 3THz. The Method of Moments (MoM) is applied to the Integral Equation (IE) formulation in order to obtain the linear system that is solved using the BBFB technique. The waveguide dimensions are obtained using the gap map technique.

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Section: Buffered Block Forward Backward Methodsmentioning

confidence: 99%

Design of 2D TeraHertz band-gap photonic waveguides using an accelerated integral equation technique

Bogusevschi

Degirmenci

Brennan

et al. 2009

2009 International Conference on Electromagnetics in Advanced Applications

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“…In this paper, the Buffered Block Forward Backward algorithm proposed in [8] and furthered developed in [9] is employed. Results highlight its efficiency, accuracy and ease of use.…”

Section: Cg-fft Solution Techniquementioning

confidence: 99%

“…Note that the right hand side of equations (8) and (9) is modified to include the effects of the most up to date estimates ofd1 . Now, for 3D analysis, equations (8) and (9) may have to be modified to avoid the inaccuracies that occur due to spurious edge effects [8]. These edge effects arise due to the treatment of each subblock as a physically isolated scatterer.…”

Section: Buffered Block Forward Backward (Bbfb)mentioning

confidence: 99%

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Computation of Electromagnetic Fields inside Three Dimensional Inhomogeneous Dielectrics Using a Buffered Block Forward Backward Algorithm

Condon

Babu

2006

2006 7th International Symposium on Antennas, Propagation &Amp; EM Theory

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Abstract:The paper is concerned with the electromagnetic scattering from a three-dimensional inhomogeneous dielectric object. In particular, the paper compares the use of a Buffered Block Forward Backward (BBFB) algorithm to the use of the commonly employed weak form of the CG-FFT method for the numerical solution of the resultant Electric Field Integral Equation (EFIE). The BBFB method is based on the spatial segmentation of the dielectric into smaller pieces. Results are shown which illustrate the convergence of the algorithm and its superior performance to the CG-FFT.

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“…Some other techniques are also given for the fast solving [6]. The multi-region iterative method is another method to reduce the CPU time in solving the matrix equation, which have been studied in two-dimensional or three-dimensional surface radiation and scattering problems of conducting bodies [7][8][9][10][11][12]. The iterative multi-region algorithm is also used by hybrid method [13].…”

Section: Introductionmentioning

confidence: 99%

Analysis of Dielectric Body by Using Volume Integral Equation Combined With Multi-Region Iterative Method

Zhai

Yuan

Chen

et al. 2008

PIER M

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Abstract-In this research, a fast approach of method of moments (MoM) for analyzing 3-D dielectric body is proposed. The unknown polarization current in dielectric body is expanded into rectangular blocks with overlapping volume sinusoidal basis functions.To accelerate the matrix-solving CPU time in MoM, the multi-region iterative method, where the overlapping blocks are used as the iteration units, is applied to solving the matrix equation in the MoM. Some numerical results are given to show that the CPU time for solving unknown currents can be reduced effectively by multi-region iterative method. 162Zhai et al.

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A Novel Iterative Solution of the Three Dimensional Electric Field Integral Equation

Cited by 28 publications

References 6 publications

Design of 2D TeraHertz band-gap photonic waveguides using an accelerated integral equation technique

Design of 2D TeraHertz band-gap photonic waveguides using an accelerated integral equation technique

Computation of Electromagnetic Fields inside Three Dimensional Inhomogeneous Dielectrics Using a Buffered Block Forward Backward Algorithm

Analysis of Dielectric Body by Using Volume Integral Equation Combined With Multi-Region Iterative Method

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