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Volumn 362, Issue 1816, 2004, Pages 579-602

Computational electromagnetics: The physics of smooth versus oscillatory fields

Author keywords

Electromagnetics; Fast multipole method; Helmholtz problem; Integral equation; Laplace problem; Parallelization

Indexed keywords


EID: 1642263480     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2003.1336     Document Type: Article
Times cited : (34)

References (51)
  • 1
    • 0033308018 scopus 로고    scopus 로고
    • Stabilization procedure for electric field integral equations
    • Adams, R. J. & Brown, G. S. 1999 Stabilization procedure for electric field integral equations. Electron. Lett. 35, 2015-2016.
    • (1999) Electron. Lett. , vol.35 , pp. 2015-2016
    • Adams, R.J.1    Brown, G.S.2
  • 2
    • 0000139676 scopus 로고
    • Wavelet-like bases for the fast solution of second-kind integral equations
    • Alpert, B. A., Beylkin, G., Coifman, R. R. & Rokhlin, V. 1993 Wavelet-like bases for the fast solution of second-kind integral equations. SIAM J. Sci. Comput. 14, 159-184.
    • (1993) SIAM J. Sci. Comput. , vol.14 , pp. 159-184
    • Alpert, B.A.1    Beylkin, G.2    Coifman, R.R.3    Rokhlin, V.4
  • 3
    • 0002439750 scopus 로고
    • An efficient program for many-body simulation
    • Appel, A. W. 1985 An efficient program for many-body simulation. SIAM J. Sci. Statist. Comput. 6, 85-103.
    • (1985) SIAM J. Sci. Statist. Comput. , vol.6 , pp. 85-103
    • Appel, A.W.1
  • 7
    • 0026413037 scopus 로고
    • Multilevel computations of integral transforms and particle interactions with oscillatory kernels
    • Brandt, A. 1991 Multilevel computations of integral transforms and particle interactions with oscillatory kernels. Computat. Phys. Commun. 65, 24-38.
    • (1991) Computat. Phys. Commun. , vol.65 , pp. 24-38
    • Brandt, A.1
  • 9
    • 85020774373 scopus 로고    scopus 로고
    • Computational electromagnetics-the physics of smooth kernel versus oscillatory kernel, and wavelets versus fast multipole
    • Plenary invited talk. Monterey, CA, 18-22 March 2002.
    • Chew, W. C. 2002 Computational electromagnetics-the physics of smooth kernel versus oscillatory kernel, and wavelets versus fast multipole. Plenary invited talk at 18th Annual Review of Progress in Applied Computational Electromagnetics, Monterey, CA, 18-22 March 2002.
    • (2002) 18th Annual Review of Progress in Applied Computational Electromagnetics
    • Chew, W.C.1
  • 10
    • 0000439090 scopus 로고
    • A fast algorithm to compute the wave-scattering solution of a large strip
    • Chew, W. C. & Lu, C. C. 1993 A fast algorithm to compute the wave-scattering solution of a large strip. J. Computat. Phys. 107, 378-387.
    • (1993) J. Computat. Phys. , vol.107 , pp. 378-387
    • Chew, W.C.1    Lu, C.C.2
  • 11
    • 0025449269 scopus 로고
    • Reconstruction of two-dimensional permittivity distribution using the distorted Born iterative method
    • Chew, W. C. & Wang, Y. M. 1990 Reconstruction of two-dimensional permittivity distribution using the distorted Born iterative method. IEEE Trans. Med. Imaging 9, 218-225.
    • (1990) IEEE Trans. Med. Imaging , vol.9 , pp. 218-225
    • Chew, W.C.1    Wang, Y.M.2
  • 13
    • 0036879966 scopus 로고    scopus 로고
    • A FAFFA-MLFMA algorithm for electromagnetic scattering
    • Chew, W. C., Cui, T. J. & Song, J. M. 2002 A FAFFA-MLFMA algorithm for electromagnetic scattering. IEEE Trans. Antennas Propagat. 50, 1641-1649.
    • (2002) IEEE Trans. Antennas Propagat. , vol.50 , pp. 1641-1649
    • Chew, W.C.1    Cui, T.J.2    Song, J.M.3
  • 14
    • 0027609499 scopus 로고
    • The fast multipole method for the wave equation: A pedestrian prescription
    • Coifman, R., Rokhlin, V. & Wandzura, S. 1993 The fast multipole method for the wave equation: a pedestrian prescription. IEEE Antennas Propagat. Mag. 35, 7-12.
    • (1993) IEEE Antennas Propagat. Mag. , vol.35 , pp. 7-12
    • Coifman, R.1    Rokhlin, V.2    Wandzura, S.3
  • 15
    • 1642288360 scopus 로고    scopus 로고
    • Efficient MLFMA, RPFMA and FAFFA algorithms for EM scattering by very large structures
    • In the press
    • Cui, T. J., Chew, W. C., Chen, G. & Song, J. M. 2004 Efficient MLFMA, RPFMA and FAFFA algorithms for EM scattering by very large structures. IEEE Trans. Antennas Propagat. 52. (In the press.)
    • (2004) IEEE Trans. Antennas Propagat. , vol.52
    • Cui, T.J.1    Chew, W.C.2    Chen, G.3    Song, J.M.4
  • 16
    • 0032595029 scopus 로고    scopus 로고
    • The plane-wave time-domain algorithm for the fast analysis of transient wave phenomena
    • Ergin, A. A., Shanker, B. & Michielssen, E. 1999 The plane-wave time-domain algorithm for the fast analysis of transient wave phenomena. IEEE Antennas Propagat. Mag. 41, 39-52.
    • (1999) IEEE Antennas Propagat. Mag. , vol.41 , pp. 39-52
    • Ergin, A.A.1    Shanker, B.2    Michielssen, E.3
  • 18
    • 0033722728 scopus 로고    scopus 로고
    • Sparsity and conditioning of impedance matrices obtained with semi-orthogonal and bi-orthogonal wavelet bases
    • Golik, W. L. 2000 Sparsity and conditioning of impedance matrices obtained with semi-orthogonal and bi-orthogonal wavelet bases. IEEE Trans. Antennas Propagat. 48, 473-481.
    • (2000) IEEE Trans. Antennas Propagat. , vol.48 , pp. 473-481
    • Golik, W.L.1
  • 20
    • 0000396658 scopus 로고
    • A fast algorithm for particle simulations
    • Greengard, L. & Rokhlin, V. 1987 A fast algorithm for particle simulations. J. Computat. Phys. 73, 325-348.
    • (1987) J. Computat. Phys. , vol.73 , pp. 325-348
    • Greengard, L.1    Rokhlin, V.2
  • 21
    • 0032117876 scopus 로고    scopus 로고
    • Accelerating fast multipole methods for low-frequency scattering
    • Greengard, L., Huang, J., Rokhlin, V. & Wandzura, S. 1998 Accelerating fast multipole methods for low-frequency scattering. Comput. Sci. Engng 5, 32-38.
    • (1998) Comput. Sci. Engng , vol.5 , pp. 32-38
    • Greengard, L.1    Huang, J.2    Rokhlin, V.3    Wandzura, S.4
  • 23
    • 1642327425 scopus 로고    scopus 로고
    • PhD thesis, Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, Urbana, IL, USA
    • Hastriter, L. 2003 Study of MLFMA for large scale scattering problems. PhD thesis, Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, Urbana, IL, USA.
    • (2003) Study of MLFMA for Large Scale Scattering Problems
    • Hastriter, L.1
  • 24
    • 0000135303 scopus 로고
    • Methods of conjugate gradients for solving linear systems
    • Hestenes, M. R. & Stiefel, E. 1952 Methods of conjugate gradients for solving linear systems. J. Res. Natl Bur. Stand. 49, 409-436.
    • (1952) J. Res. Natl Bur. Stand. , vol.49 , pp. 409-436
    • Hestenes, M.R.1    Stiefel, E.2
  • 25
    • 0033897245 scopus 로고    scopus 로고
    • Fast inhomogeneous plane wave algorithm for electromagnetic solutions in layered medium structures - 2D case
    • Hu, B. & Chew, W. C. 2000 Fast inhomogeneous plane wave algorithm for electromagnetic solutions in layered medium structures - 2D case. Radio Sci. 35, 31-43.
    • (2000) Radio Sci. , vol.35 , pp. 31-43
    • Hu, B.1    Chew, W.C.2
  • 27
    • 33645667614 scopus 로고
    • Geometrical theory of diffraction
    • Keller, J. B. 1962 Geometrical theory of diffraction. J. Opt. Soc. Am. 52, 116-130.
    • (1962) J. Opt. Soc. Am. , vol.52 , pp. 116-130
    • Keller, J.B.1
  • 28
    • 0027909046 scopus 로고
    • On the application of fast wavelet transform to the integral-equation solution of electromagnetic scattering problems
    • Kim, H. & Ling, H. 1993 On the application of fast wavelet transform to the integral-equation solution of electromagnetic scattering problems. Microwave Opt. Technol. Lett. 6, 168-173.
    • (1993) Microwave Opt. Technol. Lett. , vol.6 , pp. 168-173
    • Kim, H.1    Ling, H.2
  • 30
    • 0016129803 scopus 로고
    • A uniform geometrical theory of diffraction for an edge in a perfectly conducting surface
    • Kouyoumjian, R. G. & Pathak, P. H. 1974 A uniform geometrical theory of diffraction for an edge in a perfectly conducting surface. Proc. IEEE 62, 1448-1461.
    • (1974) Proc. IEEE , vol.62 , pp. 1448-1461
    • Kouyoumjian, R.G.1    Pathak, P.H.2
  • 31
    • 0016870791 scopus 로고
    • A uniform asymptotic theory of electromagnetic diffraction by a curved wedge
    • Lee, S. W. & Deschamps, G. A. 1976 A uniform asymptotic theory of electromagnetic diffraction by a curved wedge. IEEE Trans. Antennas Propagat. 24, 25-35.
    • (1976) IEEE Trans. Antennas Propagat. , vol.24 , pp. 25-35
    • Lee, S.W.1    Deschamps, G.A.2
  • 32
    • 0021287941 scopus 로고
    • Development of a 500 Å spatial resolution light microscope
    • Lewis, A., Isaacson, M., Haootunian, A. & Muray, A. 1984 Development of a 500 Å spatial resolution light microscope. Ultramicroscopy 13, 227.
    • (1984) Ultramicroscopy , vol.13 , pp. 227
    • Lewis, A.1    Isaacson, M.2    Haootunian, A.3    Muray, A.4
  • 33
    • 0034187675 scopus 로고    scopus 로고
    • A special higher-order finite element method for scattering by deep cavities
    • Liu, J. & Jin, J. M. 2000 A special higher-order finite element method for scattering by deep cavities. IEEE Trans. Antennas Propagat. 48, 494-703.
    • (2000) IEEE Trans. Antennas Propagat. , vol.48 , pp. 494-703
    • Liu, J.1    Jin, J.M.2
  • 34
    • 0028460697 scopus 로고
    • A multi-level algorithm for solving a boundary integral equation of wave scattering
    • Lu, C. C. & Chew, W. C. 1994 A multi-level algorithm for solving a boundary integral equation of wave scattering. Microwave Opt. Technol. Lett. 7, 466-470.
    • (1994) Microwave Opt. Technol. Lett. , vol.7 , pp. 466-470
    • Lu, C.C.1    Chew, W.C.2
  • 35
    • 0031372407 scopus 로고    scopus 로고
    • A near resonance decoupling approach (NRDA) for scattering solution of near resonance structures
    • Lu, C. C. & Chew, W. C. 1997 A near resonance decoupling approach (NRDA) for scattering solution of near resonance structures. IEEE Trans. Antennas Propagat. 45, 1857-1862.
    • (1997) IEEE Trans. Antennas Propagat. , vol.45 , pp. 1857-1862
    • Lu, C.C.1    Chew, W.C.2
  • 36
    • 0030243159 scopus 로고    scopus 로고
    • Fast steepest descent path algorithm for analyzing scattering from two-dimensional objects
    • Michielssen, E. & Chew, W. C. 1996 Fast steepest descent path algorithm for analyzing scattering from two-dimensional objects. Radio Sci. 31, 1215-1224.
    • (1996) Radio Sci. , vol.31 , pp. 1215-1224
    • Michielssen, E.1    Chew, W.C.2
  • 37
    • 0021410769 scopus 로고
    • Image reconstruction with resolution of λ/20
    • Pohl, D. W., Denk, W. & Lanz, M. 1984 Image reconstruction with resolution of λ/20. Appl. Phys. Lett. 44, 651-653.
    • (1984) Appl. Phys. Lett. , vol.44 , pp. 651-653
    • Pohl, D.W.1    Denk, W.2    Lanz, M.3
  • 38
    • 0000431418 scopus 로고
    • Rapid solution of integral equations of scattering theory in two dimensions
    • Rokhlin, V. 1990 Rapid solution of integral equations of scattering theory in two dimensions. J. Computat. Phys. 36, 414-439.
    • (1990) J. Computat. Phys. , vol.36 , pp. 414-439
    • Rokhlin, V.1
  • 39
    • 0029378828 scopus 로고
    • Multi-level fast-multipole algorithm for solving combined field integral equations of electromagnetic scattering
    • Song, J. M. & Chew, W. C. 1995 Multi-level fast-multipole algorithm for solving combined field integral equations of electromagnetic scattering. Microwave Opt. Technol. Lett. 10, 14-19.
    • (1995) Microwave Opt. Technol. Lett. , vol.10 , pp. 14-19
    • Song, J.M.1    Chew, W.C.2
  • 41
    • 0002523464 scopus 로고
    • Addition theorems for spherical wave functions
    • Stein, S. 1961 Addition theorems for spherical wave functions. Q. Appl. Math. 19, 15-24.
    • (1961) Q. Appl. Math. , vol.19 , pp. 15-24
    • Stein, S.1
  • 44
    • 1642381165 scopus 로고    scopus 로고
    • Parallelization of the multi-level fast multipole algorithm on distributed memory computers
    • ed. W. C. Chew et al., ch. 4. Boston, MA: Artech House
    • Velamparambil, S., Song, J. M. & Chew, W. C. 2001 Parallelization of the multi-level fast multipole algorithm on distributed memory computers. In Fast and efficient algorithms in computational electromagnetics (ed. W. C. Chew et al.), ch. 4, p. 119. Boston, MA: Artech House.
    • (2001) Fast and Efficient Algorithms in Computational Electromagnetics , pp. 119
    • Velamparambil, S.1    Song, J.M.2    Chew, W.C.3
  • 46
    • 0029358579 scopus 로고
    • A study of wavelets for the solution of electromagnetic integral equations
    • Wagner, R. L. & Chew, W. C. 1995 A study of wavelets for the solution of electromagnetic integral equations. IEEE Trans. Antennas Propagat. 43, 802-810.
    • (1995) IEEE Trans. Antennas Propagat. , vol.43 , pp. 802-810
    • Wagner, R.L.1    Chew, W.C.2
  • 47
    • 0002026993 scopus 로고
    • On improving the electric field integral equation at low frequencies
    • Wilton, D. R. & Glisson, A. W. 1981 On improving the electric field integral equation at low frequencies. URSI Radio Sci. Digest, p. 24.
    • (1981) URSI Radio Sci. Digest. , pp. 24
    • Wilton, D.R.1    Glisson, A.W.2
  • 49
    • 0033525315 scopus 로고    scopus 로고
    • MLFMA for solving boundary equations of 2D electromagnetic scattering from static to electrodynamic
    • Zhao, J. S. & Chew, W. C. 1999 MLFMA for solving boundary equations of 2D electromagnetic scattering from static to electrodynamic. Microwave Opt. Technol. Lett. 20, 306-311.
    • (1999) Microwave Opt. Technol. Lett. , vol.20 , pp. 306-311
    • Zhao, J.S.1    Chew, W.C.2
  • 50
    • 0033728703 scopus 로고    scopus 로고
    • Three dimensional multi-level fast multipole algorithm from static to electrodynamic
    • Zhao, J. S. & Chew, W. C. 2000a Three dimensional multi-level fast multipole algorithm from static to electrodynamic. Microwave Opt. Technol. Lett. 26, 43-48.
    • (2000) Microwave Opt. Technol. Lett. , vol.26 , pp. 43-48
    • Zhao, J.S.1    Chew, W.C.2
  • 51
    • 0034290010 scopus 로고    scopus 로고
    • Integral equation solution of Maxwell's equations from zero frequency to microwave frequencies
    • James R. Wait Memorial Special Issue
    • Zhao, J. S. & Chew, W. C. 2000b Integral equation solution of Maxwell's equations from zero frequency to microwave frequencies. In James R. Wait Memorial Special Issue. IEEE Trans. Antennas Propagat. 48, 1635-1645.
    • (2000) IEEE Trans. Antennas Propagat. , vol.48 , pp. 1635-1645
    • Zhao, J.S.1    Chew, W.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.