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Volumn 53, Issue 3, 2005, Pages 1154-1162

Fast algorithms for large-scale periodic structures using subentire domain basis functions

Author keywords

Accurate subentire domain conjugate gradient fast Fourier transform (ASED CG FFT); Left handed materials; Method of moments (MoM); Periodic structures; Photonic band gap (PBG); Simplified subentire domain conjugate gradient fast Fourier transform (SSED CG FFT); Subentire domain (SED) basis function

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; FAST FOURIER TRANSFORMS; GREEN'S FUNCTION; INTEGRAL EQUATIONS; MATRIX ALGEBRA; METHOD OF MOMENTS;

EID: 16344366244     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAP.2004.842635     Document Type: Article
Times cited : (50)

References (42)
  • 2
    • 33745947692 scopus 로고
    • "Inhibited spontaneous emission in solid-state physics and electronics"
    • E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett., vol. 58, pp. 2059-2062, 1987.
    • (1987) Phys. Rev. Lett. , vol.58 , pp. 2059-2062
    • Yablonovitch, E.1
  • 3
    • 0005891622 scopus 로고    scopus 로고
    • "Electromagnetic band-gap structures: Classification characterization, and applications"
    • Proc. Inst. Elect. Eng. Int. Conf. Antennas and Propagation, Manchester, U.K., Apr. 17-20
    • Y. Rahmat-Samii and H. Mosallaei, "Electromagnetic band-gap structures: classification characterization, and applications," in Proc. Inst. Elect. Eng. Int. Conf. Antennas and Propagation, Manchester, U.K., Apr. 17-20, 2001.
    • (2001)
    • Rahmat-Samii, Y.1    Mosallaei, H.2
  • 4
    • 85010244173 scopus 로고
    • "The electrodynamics of substances with simultaneously negative values of ε and μ"
    • Jan.-Feb
    • V. G. Vesalago, "The electrodynamics of substances with simultaneously negative values of ε and μ," Sov. Phys. Usp., vol. 10, no. 4, pp. 509-514, Jan.-Feb. 1968.
    • (1968) Sov. Phys. Usp. , vol.10 , Issue.4 , pp. 509-514
    • Vesalago, V.G.1
  • 5
    • 0035815370 scopus 로고    scopus 로고
    • "Experimental verification of a negative index of refraction"
    • R. A. Shelby, D. R. Smith, and S. Schultz, "Experimental verification of a negative index of refraction," Science, vol. 292, pp. 77-79, 2001.
    • (2001) Science , vol.292 , pp. 77-79
    • Shelby, R.A.1    Smith, D.R.2    Schultz, S.3
  • 6
    • 1542335587 scopus 로고    scopus 로고
    • "Special Issue on Metamaterials"
    • Oct
    • "Special Issue on Metamaterials," IEEE Trans. Antennas Propag., vol. 51, no. 10, pp. 2546-2744, Oct. 2003.
    • (2003) IEEE Trans. Antennas Propag. , vol.51 , Issue.10 , pp. 2546-2744
  • 7
    • 0242720718 scopus 로고    scopus 로고
    • "Finite-difference frequency-domain algorithm for modeling guided-wave properties of substrate integrated waveguide"
    • Nov
    • F. Xu, Y. L. Zhang, W. Hong, K. Wu, and T. J. Cui, "Finite-difference frequency-domain algorithm for modeling guided-wave properties of substrate integrated waveguide," IEEE Trans. Microwave Theory Tech. vol. 51, pp. 2221-2227, Nov. 2003.
    • (2003) IEEE Trans. Microwave Theory Tech. , vol.51 , pp. 2221-2227
    • Xu, F.1    Zhang, Y.L.2    Hong, W.3    Wu, K.4    Cui, T.J.5
  • 8
    • 0032642951 scopus 로고    scopus 로고
    • "Efficient calculation of lattice sums for free-space periodic Green's function"
    • Jun
    • K. Yasumoto and K. Yoshitomi, "Efficient calculation of lattice sums for free-space periodic Green's function," IEEE Trans. Antennas Propag., vol. 47, pp. 1050-1055, Jun. 1999.
    • (1999) IEEE Trans. Antennas Propag. , vol.47 , pp. 1050-1055
    • Yasumoto, K.1    Yoshitomi, K.2
  • 9
    • 0020126542 scopus 로고
    • "Electromagnetic scattering by surfaces of arbitrary shape"
    • May
    • S. M. Rat, D. R. Wilton, and A. W. Glisson, "Electromagnetic scattering by surfaces of arbitrary shape," IEEE Trans. Antennas Propag., vol. 30, pp. 409-418, May 1982.
    • (1982) IEEE Trans. Antennas Propag. , vol.30 , pp. 409-418
    • Rat, S.M.1    Wilton, D.R.2    Glisson, A.W.3
  • 10
    • 0000431418 scopus 로고
    • "Rapid solution of integral equations of scattering theory in two dimensions"
    • Feb
    • V. Rokhlin, "Rapid solution of integral equations of scattering theory in two dimensions," J. Comput. Phys., vol. 86, pp. 414-439, Feb. 1990.
    • (1990) J. Comput. Phys. , vol.86 , pp. 414-439
    • Rokhlin, V.1
  • 11
    • 0026882291 scopus 로고
    • "The fast multipole method (FMM) for electromagnetic scattering problems"
    • Jun
    • N. Engheta, W. D. Murphy, V. Rokhlin, and M. S. Vassiliou, "The fast multipole method (FMM) for electromagnetic scattering problems," IEEE Trans. Antennas Propag., vol. 40, no. 6, pp. 634-641, Jun. 1992.
    • (1992) IEEE Trans. Antennas Propag. , vol.40 , Issue.6 , pp. 634-641
    • Engheta, N.1    Murphy, W.D.2    Rokhlin, V.3    Vassiliou, M.S.4
  • 12
    • 0000800931 scopus 로고
    • "Fast algorithm for solving hybrid integral equations"
    • Dec
    • C. C. Lu and W. C. Chew, "Fast algorithm for solving hybrid integral equations," Proc. Inst. Elect. Eng., pt. H, vol. 140, pp. 455-460, Dec. 1993.
    • (1993) Proc. Inst. Elect. Eng. , vol.140 , Issue.PART H , pp. 455-460
    • Lu, C.C.1    Chew, W.C.2
  • 13
    • 0029378828 scopus 로고
    • "Multilevel fast multipole algorithm for solving combined field integral equations of electromagnetic scattering"
    • Sep
    • J. M. Song and W. C. Chew, "Multilevel fast multipole algorithm for solving combined field integral equations of electromagnetic scattering," Microwave Opt. Tech. Lett., vol. 10, no. 1, pp. 14-19, Sep. 1995.
    • (1995) Microwave Opt. Tech. Lett. , vol.10 , Issue.1 , pp. 14-19
    • Song, J.M.1    Chew, W.C.2
  • 14
    • 0034228259 scopus 로고    scopus 로고
    • "Multilevel fast-multipole algorithm for scattering from conducting targets above or embedded in a lossy half space"
    • Jul
    • N. Geng, A. Sullivan, and L. Carin, "Multilevel fast-multipole algorithm for scattering from conducting targets above or embedded in a lossy half space," IEEE Trans. Geosci. Remote Sensing, vol. 38, pp. 1561-1573, Jul. 2000.
    • (2000) IEEE Trans. Geosci. Remote Sensing , vol.38 , pp. 1561-1573
    • Geng, N.1    Sullivan, A.2    Carin, L.3
  • 15
    • 0001698339 scopus 로고
    • "Multipole translation theory for the three-dimensional Laplace and Helmholtz equations"
    • Jul
    • M. A. Epton and B. Dembart, "Multipole translation theory for the three-dimensional Laplace and Helmholtz equations," SIAM J. Sci. Comput., vol. 16, pp. 865-897, Jul. 1995.
    • (1995) SIAM J. Sci. Comput. , vol.16 , pp. 865-897
    • Epton, M.A.1    Dembart, B.2
  • 16
    • 0036879966 scopus 로고    scopus 로고
    • "A FAFFA-MLFMA algorithm for electromagnetic scattering"
    • Nov
    • W. C. Chew, T. J. Cui, and J. M. Song, "A FAFFA-MLFMA algorithm for electromagnetic scattering," IEEE Trans. Antennas Propag., vol. 50, no. 11, pp. 1641-1649, Nov. 2002.
    • (2002) IEEE Trans. Antennas Propag. , vol.50 , Issue.11 , pp. 1641-1649
    • Chew, W.C.1    Cui, T.J.2    Song, J.M.3
  • 17
    • 1642288360 scopus 로고    scopus 로고
    • "Efficient MLFMA, RPFMA and FAFFA algorithms for EM scattering by very large structures"
    • Mar
    • T. J. Cui, W. C. Chew, G. Chen, and J. M. Song, "Efficient MLFMA, RPFMA and FAFFA algorithms for EM scattering by very large structures," IEEE Trans. Antennas Propag., vol. 52, no. 3, pp. 759-770, Mar. 2004.
    • (2004) IEEE Trans. Antennas Propag. , vol.52 , Issue.3 , pp. 759-770
    • Cui, T.J.1    Chew, W.C.2    Chen, G.3    Song, J.M.4
  • 18
    • 0022717220 scopus 로고
    • "Application of FFT and conjugate gradient method for the solution of electromagnetic radiation from electrically large and small conducting bodies"
    • May
    • T. K. Sakar, E. Arvas, and S. S. Rat, "Application of FFT and conjugate gradient method for the solution of electromagnetic radiation from electrically large and small conducting bodies," IEEE Trans. Antennas Propag., vol. AP-34, no. 5, pp. 635-640, May 1986.
    • (1986) IEEE Trans. Antennas Propag. , vol.AP-34 , Issue.5 , pp. 635-640
    • Sakar, T.K.1    Arvas, E.2    Rat, S.S.3
  • 19
    • 0023995791 scopus 로고
    • "Application of a conjugate gradient FFT method to scattering from thin planar material plates"
    • Apr
    • T. J. Peters and J. L. Volakis, "Application of a conjugate gradient FFT method to scattering from thin planar material plates," IEEE Trans. Antennas Propag., vol. AP-36, no. 4, pp. 518-526, Apr. 1988.
    • (1988) IEEE Trans. Antennas Propag. , vol.AP-36 , Issue.4 , pp. 518-526
    • Peters, T.J.1    Volakis, J.L.2
  • 20
    • 0024176206 scopus 로고
    • "A scheme to analyze conducting plates of resonant size using the conjugate-gradient method and the fast Fourier transform"
    • Dec
    • M. F. Catedra, J. G. Cuevas, and L. Nuno, "A scheme to analyze conducting plates of resonant size using the conjugate-gradient method and the fast Fourier transform," IEEE Trans. Antennas Propag., vol. AP-36, no. 12, pp. 1744-1752, Dec. 1988.
    • (1988) IEEE Trans. Antennas Propag. , vol.AP-36 , Issue.12 , pp. 1744-1752
    • Catedra, M.F.1    Cuevas, J.G.2    Nuno, L.3
  • 21
    • 34250819408 scopus 로고
    • "A numerical scheme to obtain the RCS of three-dimensional bodies of resonant size using the conjugate gradient method and the fast Fourier transform"
    • May
    • M. F. Catedra, E. Gago, and L. Nuno, "A numerical scheme to obtain the RCS of three-dimensional bodies of resonant size using the conjugate gradient method and the fast Fourier transform," IEEE Trans. Antennas Propag., vol. 37, no. 5, pp. 528-537, May 1989.
    • (1989) IEEE Trans. Antennas Propag. , vol.37 , Issue.5 , pp. 528-537
    • Catedra, M.F.1    Gago, E.2    Nuno, L.3
  • 22
    • 0026928381 scopus 로고
    • "The three-dimensional weak form of the conjugate gradient FFT method for solving scattering problems"
    • Sep
    • P. Zwamborn and P. M. van dan Berg, "The three-dimensional weak form of the conjugate gradient FFT method for solving scattering problems," IEEE Trans. Antennas Propag., vol. 40, no. 9, pp. 1757-1766, Sep. 1992.
    • (1992) IEEE Trans. Antennas Propag. , vol.40 , Issue.9 , pp. 1757-1766
    • Zwamborn, P.1    van dan Berg, P.M.2
  • 23
    • 0029518207 scopus 로고
    • "A discrete BCG-FFT algorithm for solving 3D inhomogeneous scatterer problems"
    • H. Gan and W. C. Chew, "A discrete BCG-FFT algorithm for solving 3D inhomogeneous scatterer problems," J. Electromagn. Waves Appl., vol. 9, pp. 1339-1357, 1995.
    • (1995) J. Electromagn. Waves Appl. , vol.9 , pp. 1339-1357
    • Gan, H.1    Chew, W.C.2
  • 24
    • 0032630074 scopus 로고    scopus 로고
    • "Fast algorithm for electromagnetic scattering by buried conducting plates of large size"
    • Jun
    • T. J. Cui and W. C. Chew, "Fast algorithm for electromagnetic scattering by buried conducting plates of large size," IEEE Trans. Antennas Propag., vol. 47, no. 6, pp. 1116-1118, Jun. 1999.
    • (1999) IEEE Trans. Antennas Propag. , vol.47 , Issue.6 , pp. 1116-1118
    • Cui, T.J.1    Chew, W.C.2
  • 25
    • 0033311260 scopus 로고    scopus 로고
    • "Fast algorithm for electromagnetic scattering by buried 3D dielectric objects of large size"
    • Sep
    • T. J. Cui, "Fast algorithm for electromagnetic scattering by buried 3D dielectric objects of large size," IEEE Trans. Geosci. Remote Sensing, vol. 37, pp. 2597-2608, Sep. 1999.
    • (1999) IEEE Trans. Geosci. Remote Sensing , vol.37 , pp. 2597-2608
    • Cui, T.J.1
  • 26
    • 0141940252 scopus 로고    scopus 로고
    • "Fast forward solvers for low-frequency detection of buried dielectric objects"
    • Sep
    • T. J. Cui, W. C. Chew, A. A. Aydiner, and Y. H. Zhang, "Fast forward solvers for low-frequency detection of buried dielectric objects," IEEE Trans. Geosci. Remote Sensing, vol. 41, no. 9, pp. 2026-2036, Sep. 2003.
    • (2003) IEEE Trans. Geosci. Remote Sensing , vol.41 , Issue.9 , pp. 2026-2036
    • Cui, T.J.1    Chew, W.C.2    Aydiner, A.A.3    Zhang, Y.H.4
  • 28
    • 0030242018 scopus 로고    scopus 로고
    • "AIM: Adaptive integral method for solving large-scale electromagnetic scattering and radiation problems"
    • Sept.-Oct
    • E. Bleszynski, M. Bleszynski, and T. Jaroszewicz, "AIM: adaptive integral method for solving large-scale electromagnetic scattering and radiation problems," Radio Sci., vol. 31, pp. 1225-1251, Sept.-Oct. 1996.
    • (1996) Radio Sci. , vol.31 , pp. 1225-1251
    • Bleszynski, E.1    Bleszynski, M.2    Jaroszewicz, T.3
  • 29
    • 0031617665 scopus 로고    scopus 로고
    • "Application of adaptive integral method to scattering and radiation analysis of arbitrarily shaped planar structures"
    • Aug
    • F. Ling, C. F. Wang, and J. M. Jin, "Application of adaptive integral method to scattering and radiation analysis of arbitrarily shaped planar structures," J. Electromagn. Waves Appl., vol. 12, pp. 1021-1038, Aug. 1998.
    • (1998) J. Electromagn. Waves Appl. , vol.12 , pp. 1021-1038
    • Ling, F.1    Wang, C.F.2    Jin, J.M.3
  • 30
    • 0016441590 scopus 로고
    • "A hybrid technique for combining moment methods with the geometrical theory of diffraction"
    • Jan
    • G. A. Thiele and T. H. Newhouse, "A hybrid technique for combining moment methods with the geometrical theory of diffraction," IEEE Trans. Antennas Propag., vol. 23, no. 1, pp. 62-69, Jan. 1975.
    • (1975) IEEE Trans. Antennas Propag. , vol.23 , Issue.1 , pp. 62-69
    • Thiele, G.A.1    Newhouse, T.H.2
  • 31
    • 0029255701 scopus 로고
    • "Improved PO-MM hybrid formulation for scattering from three-dimensional perfectly conducting bodies of arbitrary shape"
    • Feb
    • U. Jakobus and F. M. Landstorfer, "Improved PO-MM hybrid formulation for scattering from three-dimensional perfectly conducting bodies of arbitrary shape," IEEE Trans. Antennas Propag., vol. 43, pp. 162-169, Feb. 1995.
    • (1995) IEEE Trans. Antennas Propag. , vol.43 , pp. 162-169
    • Jakobus, U.1    Landstorfer, F.M.2
  • 32
    • 3843102645 scopus 로고    scopus 로고
    • "An efficient multi-region model for electromagnetic scattering and radiation by PEC targets"
    • Jul
    • T. J. Cui, W. B. Lu, Z. G. Qian, W. Hong, and X. X. Yin, "An efficient multi-region model for electromagnetic scattering and radiation by PEC targets," IEEE Trans. Antennas Propag., vol. 52, no. 7, pp. 1707-1716, Jul. 2004.
    • (2004) IEEE Trans. Antennas Propag. , vol.52 , Issue.7 , pp. 1707-1716
    • Cui, T.J.1    Lu, W.B.2    Qian, Z.G.3    Hong, W.4    Yin, X.X.5
  • 33
    • 0026765306 scopus 로고
    • "Electric current basis functions for curved surfaces"
    • S. Wandzura, "Electric current basis functions for curved surfaces," Electromagn., vol. 12, pp. 77-91, 1992.
    • (1992) Electromagn. , vol.12 , pp. 77-91
    • Wandzura, S.1
  • 34
    • 0003157504 scopus 로고
    • "Electromagnetic computation using parametric geometry"
    • M. I. Sancer, R. L. McClary, and K. J. Glover, "Electromagnetic computation using parametric geometry," Electromagn., vol. 10, pp. 85-103, 1990.
    • (1990) Electromagn. , vol.10 , pp. 85-103
    • Sancer, M.I.1    McClary, R.L.2    Glover, K.J.3
  • 35
    • 0001437417 scopus 로고    scopus 로고
    • "A novel implementatin of multilevel fast multipole algorithm for higher order Galerkin's method"
    • Aug
    • K. C. Donepudi, J. M. Song, J. M. Jin, G. Kang, and W. C. Chew, "A novel implementatin of multilevel fast multipole algorithm for higher order Galerkin's method," IEEE Trans. Antennas Propag., vol. 48, no. 8, Aug. 2000.
    • (2000) IEEE Trans. Antennas Propag. , vol.48 , Issue.8
    • Donepudi, K.C.1    Song, J.M.2    Jin, J.M.3    Kang, G.4    Chew, W.C.5
  • 36
    • 0034246169 scopus 로고    scopus 로고
    • "A subdomain multilevel approach for the MoM analysis of large planar antennas"
    • Aug
    • E. Suter and J. Mosig, "A subdomain multilevel approach for the MoM analysis of large planar antennas," Microwave Opt. Technol. Lett. vol. 26, pp. 227-270, Aug. 2000.
    • (2000) Microwave Opt. Technol. Lett. , vol.26 , pp. 227-270
    • Suter, E.1    Mosig, J.2
  • 37
    • 0035153710 scopus 로고    scopus 로고
    • "Synthetic function analysis of large printed structures, the solution space sampling approach"
    • Boston, MA, Jul
    • L. Matekovits, G. Vecchi, G. Dassano, and M. Orefice, "Synthetic function analysis of large printed structures, the solution space sampling approach," in Proc. IEEE AP-S Int. Symp., Boston, MA, Jul. 2001, pp. 568-571.
    • (2001) Proc. IEEE AP-S Int. Symp. , pp. 568-571
    • Matekovits, L.1    Vecchi, G.2    Dassano, G.3    Orefice, M.4
  • 38
    • 0041971105 scopus 로고    scopus 로고
    • "Numerically efficient analysis of microstrip antennas using the Characteristic Basis function Method (CBFM)"
    • Columbus, OH, Jun
    • J. Yet and R. Mittra, "Numerically efficient analysis of microstrip antennas using the Characteristic Basis function Method (CBFM)," in Proc. IEEE AP-S Int. Symp., Columbus, OH, Jun. 2003.
    • (2003) Proc. IEEE AP-S Int. Symp.
    • Yet, J.1    Mittra, R.2
  • 39
    • 0344464755 scopus 로고    scopus 로고
    • "Efficient analysis of a class of microstrip antennas using the characteristic basis function method (CBFM)"
    • Dec
    • J. Yet, V. V. S. Prakash, and R. Mittra, "Efficient analysis of a class of microstrip antennas using the characteristic basis function method (CBFM)," Microwave Opt. Technol. Lett., vol. 39, pp. 456-464, Dec. 2003.
    • (2003) Microwave Opt. Technol. Lett. , vol.39 , pp. 456-464
    • Yet, J.1    Prakash, V.V.S.2    Mittra, R.3
  • 40
    • 0037454813 scopus 로고    scopus 로고
    • "Characteristic basis function method: A new technique for efficient solution of method of moments matrix equations"
    • Jan
    • V. V. S. Prakash and R. Mittra, "Characteristic basis function method: a new technique for efficient solution of method of moments matrix equations," Microwave Opt. Technol. Lett., vol. 36, pp. 95-100, Jan. 2003.
    • (2003) Microwave Opt. Technol. Lett. , vol.36 , pp. 95-100
    • Prakash, V.V.S.1    Mittra, R.2
  • 41
    • 4544357673 scopus 로고    scopus 로고
    • "Accurate analysis of large-scale periodic structures using an efficient sub-entire-domain basis function method"
    • Monterey, CA, Jun. 20-25
    • T. J. Cui, W. B. Lu, Z. G. Qian, and W. Hong, "Accurate analysis of large-scale periodic structures using an efficient sub-entire-domain basis function method," in Proc. IEEE Int. Symp. Antennas Propag. vol. 4, Monterey, CA, Jun. 20-25, 2004, pp. 4459-4462.
    • (2004) Proc. IEEE Int. Symp. Antennas Propag. , vol.4 , pp. 4459-4462
    • Cui, T.J.1    Lu, W.B.2    Qian, Z.G.3    Hong, W.4
  • 42
    • 4544377226 scopus 로고    scopus 로고
    • "Fast algorithms for large-scale periodic structures"
    • Monterey, CA, Jun. 20-25
    • W. B. Lu, T. J. Cui, Z. G. Qian, X. X. Yin, and W. Hong, "Fast algorithms for large-scale periodic structures," in Proc. IEEE Int. Symp. Antennas Propag., vol. 4, Monterey, CA, Jun. 20-25, 2004, pp. 4463-4466.
    • (2004) Proc. IEEE Int. Symp. Antennas Propag. , vol.4 , pp. 4463-4466
    • Lu, W.B.1    Cui, T.J.2    Qian, Z.G.3    Yin, X.X.4    Hong, W.5


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