TY - JOUR
T1 - Acceleration of Perturbation-Based Electric Field Integral Equations Using Fast Fourier Transform
AU - Jia, Miao Miao
AU - Sun, Sheng
AU - Li, Yin
AU - Qian, Zhi Guo
AU - Chew, Weng Cho
N1 - Publisher Copyright:
© 2016 IEEE.
PY - 2016/10
Y1 - 2016/10
N2 - In this communication, the computation of the perturbation-based electric field integral equation of the form Rn-1, n = 0, 1, 2, ⋯, is accelerated by using fast Fourier transform (FFT) technique. As an effective solution of the low-frequency problem, the perturbation method employs the Taylor expansion of the scalar Green's function in free space. However, multiple impedance matrices have to be solved at different frequency orders, and the computational cost becomes extremely high, especially for large-scale problems. Since the perturbed kernels still satisfy Toeplitz property on the uniform Cartesian grid, the FFT based on Lagrange interpolation can be well incorporated to accelerate the multiple matrix vector products. Because of the nonsingularity property of high-order kernels when n ≥ 1, we do not need to do any near field amendment. Finally, the efficiency of the proposed method is validated in an iterative solver with numerical examples.
AB - In this communication, the computation of the perturbation-based electric field integral equation of the form Rn-1, n = 0, 1, 2, ⋯, is accelerated by using fast Fourier transform (FFT) technique. As an effective solution of the low-frequency problem, the perturbation method employs the Taylor expansion of the scalar Green's function in free space. However, multiple impedance matrices have to be solved at different frequency orders, and the computational cost becomes extremely high, especially for large-scale problems. Since the perturbed kernels still satisfy Toeplitz property on the uniform Cartesian grid, the FFT based on Lagrange interpolation can be well incorporated to accelerate the multiple matrix vector products. Because of the nonsingularity property of high-order kernels when n ≥ 1, we do not need to do any near field amendment. Finally, the efficiency of the proposed method is validated in an iterative solver with numerical examples.
KW - Fast Fourier transform (FFT)
KW - integral equation (IE)
KW - low frequency
KW - perturbation method
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U2 - 10.1109/TAP.2016.2593930
DO - 10.1109/TAP.2016.2593930
M3 - Article
AN - SCOPUS:84994591729
VL - 64
SP - 4559
EP - 4564
JO - IEEE Transactions on Antennas and Propagation
JF - IEEE Transactions on Antennas and Propagation
SN - 0018-926X
IS - 10
M1 - 7519041
ER -