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[1] Xie Jiaye, Zhou Houxing, Mu Xing, Hua Guang, et al. P-FFT and FG-FFT with real coefficients algorithm for the EFIE [J]. Journal of Southeast University (English Edition), 2014, 30 (3): 267-270. [doi:10.3969/j.issn.1003-7985.2014.03.002]
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P-FFT and FG-FFT with real coefficients algorithm for the EFIE()
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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:
30
Issue:
2014 3
Page:
267-270
Research Field:
Electromagnetic Field and Microwave Technology
Publishing date:
2014-09-30

Info

Title:
P-FFT and FG-FFT with real coefficients algorithm for the EFIE
Author(s):
Xie Jiaye Zhou Houxing Mu Xing Hua Guang Li Weidong Hong Wei
State Key Laboratory of Millimeter Waves, Southeast University, Nanjing 210096, China
Keywords:
real coefficients complex coefficients pre-corrected fast Fourier transform(P-FFT) fitting the Green function fast Fourier transform(FG-FFT)
PACS:
TN011
DOI:
10.3969/j.issn.1003-7985.2014.03.002
Abstract:
In order to reduce the storage amount for the sparse coefficient matrix in pre-corrected fast Fourier transform(P-FFT)or fitting the Green function fast Fourier transform(FG-FFT), the real coefficients are solved by improving the solution method of the coefficient equations. The novel method in both P-FFT and FG-FFT for the electric field integral equation(EFIE)is employed. With the proposed method, the storage amount for the sparse coefficient matrix can be reduced to the same level as that in the adaptive integral method(AIM)or the integral equation fast Fourier transform(IE-FFT). Meanwhile, the new algorithms do not increase the number of the FFTs used in a matrix-vector product, and maintain almost the same level of accuracy as the original versions. Besides, in respect of the time cost in each iteration, the new algorithms have also the same level as AIM(or IE-FFT). The numerical examples demonstrate the advantages of the proposed method.

References:

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[3] Xie J Y, Zhou H X, Hong W, et al. A novel FG-FFT method for the EFIE [C]//2012 International Conference on Computational Problem-Solving. Leshan, China, 2012:111-115.
[4] Yang K, Yilmaz A E. Comparison of pre-corrected FFT/adaptive integral method matching schemes [J]. Microw Opt Tech Lett, 2011, 53(6): 1368-1372.
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[7] Xie J Y, Zhou H X, Kong W B, et al. A 2-level AIM for solving EM scattering from electrically large objects [C]//2010 International Conference on Computational Problem-Solving. Lijiang, China, 2010: 9-11.
[8] An X, Lu Z Q. Application of IE-FFT with combined field integral equation to electrically large scattering problems [J]. Microw Opt Tech Lett, 2008, 50(7): 2561-2566.
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Memo

Memo:
Biographies: Xie Jiaye(1980—), male, doctor, lecturer; Zhou Hou-xing(corresponding author), male, doctor, professor, hxzhou@emfield.org.
Foundation item: The National Basic Research Program of China(973 Program)(No.2013CB329002).
Citation: Xie Jiaye, Zhou Houxing, Mu Xing, et al. P-FFT and FG-FFT with real coefficients algorithm for the EFIE[J].Journal of Southeast University(English Edition), 2014, 30(3):267-270.[doi:10.3969/j.issn.1003-7985.2014.03.002]
Last Update: 2014-09-20