A scheme to analyze conducting plates of resonant size using the conjugate-gradient method and the fast Fourier transform

Cátedra, M.F.; Cuevas, J. G.; Nuño, L.

doi:10.1109/8.14396

Cited by 59 publications

(19 citation statements)

References 13 publications

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“…(3) using the standard method of moment technique. We-employ the roof-top function as the basis and testing functions in numerical calculations [4], [ 5 ] .…”

Section: E(x)=e'(r) +Re'(x) +E'@)mentioning

confidence: 99%

Computer simulation of electromagnetic radiation from apertures in infinite screen by EFIE

Tanaka

2004

IEEE Antennas and Propagation Society Symposium, 2004.

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“…(3) using the standard method of moment technique. We-employ the roof-top function as the basis and testing functions in numerical calculations [4], [ 5 ] .…”

Section: E(x)=e'(r) +Re'(x) +E'@)mentioning

confidence: 99%

Computer simulation of electromagnetic radiation from apertures in infinite screen by EFIE

Tanaka

2004

IEEE Antennas and Propagation Society Symposium, 2004.

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“…When the inhomogeneous body is discretized into a regular grid, however, the resultant equation has a block-Toeplitz structure. Exploiting the block-Toeplitz structure, we can perform the matrix-vector multiplication in O ( N log N ) operations by FFT [lo]- [12], [18].…”

Section: Introductionmentioning

confidence: 99%

BiCG-FFT T-Matrix method for solving for the scattering solution from inhomogeneous bodies

Lin

Chew

1996

IEEE Trans. Microwave Theory Techn.

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A BiCG-FFT T-Matrix algorithm is proposed to efficiently solve three-dimensional scattering problems of inhomogeneous bodies. The memory storage is of O ( N ) ( N is the number of unknowns) and each iteration in BiCG requires O(AJ log N ) operations. A good agreement between the numerical and exact solutions is observed. The convergence rate for lossless and lossy bodies of various sizes are shown. It is also demonstrated that the matrix condition number for fine grids is the same as that for coarse grids.

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“…The CG-FFT method was developed and extended by [7][8][9][10][11]. The attracting feature of this method is that the computational and memory requirements are O(N log N ) and O(N ), respectively.…”

Section: Introductionmentioning

confidence: 99%

Ased-Aim Analysis of Scattering by Large-Scale Finite Periodic Arrays

Li¹,

Li²,

Yeo³

2009

PIER B

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Abstract-In this paper, the Adaptive Integral Method (AIM) has been extended to characterizing electromagnetic scattering by large scale finite periodic arrays with each cell comprising of either dielectric or metallic objects, by utilizing accurate sub-entire-domain (ASED) basis function. The solution process can be carried out in two steps. In the first step, a small problem is solved in order to construct ASED basis functions to be implemented for the second step. When dielectric materials are involved in the cell which results in a large number of unknowns for the small problem, the AIM can be used to accelerate the solution process and reduce the memory requirement. In the second step, the entire problem is solved using the ASED basis function constructed in the first step. The AIM can be enhanced with the ASED basis function implemented to solve the entire problem more efficiently. When calculating the near interaction impedance matrix, computation time can be significantly reduced by using the near impedance matrix in the first step. The complexity analysis shows that the computational time is O(N 0 log N 0 ) + O(M log M ) and memory requirement is O(N 0 ) + O(M ), where N 0 denotes the number of cells and M stands for the number of elements in one cell. The results calculated respectively by the ASED-AIM and the existing AIM are then compared and an excellent agreement has been observed, which demonstrates the accuracy of the proposed method. In the meantime, memory and computational time requirements have been considerably reduced using the ASED-AIM as compared to the existing AIM. Finally, an example with over 10 million unknowns is given to demonstrate the efficiency of the proposed method.

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A scheme to analyze conducting plates of resonant size using the conjugate-gradient method and the fast Fourier transform

Cited by 59 publications

References 13 publications

Computer simulation of electromagnetic radiation from apertures in infinite screen by EFIE

Computer simulation of electromagnetic radiation from apertures in infinite screen by EFIE

BiCG-FFT T-Matrix method for solving for the scattering solution from inhomogeneous bodies

Ased-Aim Analysis of Scattering by Large-Scale Finite Periodic Arrays

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