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Volumn 35, Issue 4, 1993, Pages 22-32

Fast Algorithms for Wave Scattering Developed at the University of Illinois’ Electromagnetics Laboratory

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; COMPUTER SIMULATION; DIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS;

EID: 0027640743     PISSN: 10459243     EISSN: None     Source Type: Journal    
DOI: 10.1109/74.229845     Document Type: Article
Times cited : (23)

References (49)
  • 5
    • 84894021661 scopus 로고
    • Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media
    • K. S. Yee, “Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media,” IEEE Trans. Ant. Prop., AP-14, pp. 302–307, 1966.
    • (1966) IEEE Trans. Ant. Prop. , vol.AP-14 , pp. 302-307
    • Yee, K.S.1
  • 6
    • 0016544968 scopus 로고
    • Numerical solution of steady-state electromagnetic scattering problems using the time-dependent Maxwell's equations
    • A. Taflove and M. E. Brodwin, “Numerical solution of steady-state electromagnetic scattering problems using the time-dependent Maxwell’s equations,” IEEE Trans. Microwave Theory Tech., MTT-23, pp. 623–630, 1975.
    • (1975) IEEE Trans. Microwave Theory Tech. , vol.MTT-23 , pp. 623-630
    • Taflove, A.1    Brodwin, M.E.2
  • 7
    • 0000135303 scopus 로고
    • Methods of conjugate gradients for solving linear systems
    • Sect. B
    • M. R. Hestenes and E. Stiefel, “Methods of conjugate gradients for solving linear systems,” J. Res. Nat. Bur. Stand., Sect. B, 49, pp. 409–436, 1952.
    • (1952) J. Res. Nat. Bur. Stand. , vol.49 , pp. 409-436
    • Hestenes, M.R.1    Stiefel, E.2
  • 9
    • 84980151986 scopus 로고
    • Radiation boundary conditions for acoustic and elastic wave calculations
    • B. Engquist and A. Majda, “Radiation boundary conditions for acoustic and elastic wave calculations,” Comm. Pure Appl. Math., 32, pp. 314–357, 1979.
    • (1979) Comm. Pure Appl. Math. , vol.32 , pp. 314-357
    • Engquist, B.1    Majda, A.2
  • 10
    • 11744350396 scopus 로고
    • Free space boundary conditions for the time dependent wave equation
    • E. L. Lindman, “Free space boundary conditions for the time dependent wave equation,” J. Comp. Phys., 18, pp. 66–78, 1975.
    • (1975) J. Comp. Phys. , vol.18 , pp. 66-78
    • Lindman, E.L.1
  • 11
    • 0021510599 scopus 로고
    • A transmitting boundary for transient wave analysis
    • (series A.)
    • Z. P. Liao, H. L. Wong, B. P. Yang, and Y. F. Yuan, “A transmitting boundary for transient wave analysis,” Scientia Sinica, (series A.), 27, no. 10, pp. 1063–1076, 1984.
    • (1984) Scientia Sinica , vol.27 , Issue.10 , pp. 1063-1076
    • Liao, Z.P.1    Wong, H.L.2    Yang, B.P.3    Yuan, Y.F.4
  • 12
    • 0003972070 scopus 로고
    • New York, Pergamon Press, First Edition Sixth Edition, 1980
    • M. Born and E. Wolf, Principles of Optics, New York, Pergamon Press, First Edition, 1959, Sixth Edition, 1980.
    • (1959) Principles of Optics
    • Born, M.1    Wolf, E.2
  • 14
    • 0021411497 scopus 로고
    • Fast-Fourier transform method for calculation of SAR distributions in finely discretized inhomogeneous models of biological bodies
    • D. T. Borup and O. P. Gandhi, “Fast-Fourier transform method for calculation of SAR distributions in finely discretized inhomogeneous models of biological bodies,” IEEE Trans. Micro. Theory Tech., 32, no. 4, pp. 355–360, 1984.
    • (1984) IEEE Trans. Micro. Theory Tech. , vol.32 , Issue.4 , pp. 355-360
    • Borup, D.T.1    Gandhi, O.P.2
  • 15
    • 0022717220 scopus 로고
    • Application of FFT and the conjugate gradient method for the solution of electromagnetic radiation from electrically large and small conducting bodies
    • T. K. Sarkar, E. Arvas, and S. M. Rao, “Application of FFT and the conjugate gradient method for the solution of electromagnetic radiation from electrically large and small conducting bodies,” IEEE Trans. Antennas Propagat., AP-34, pp. 635–639, 1986.
    • (1986) IEEE Trans. Antennas Propagat. , vol.AP-34 , pp. 635-639
    • Sarkar, T.K.1    Arvas, E.2    Rao, S.M.3
  • 16
    • 0022773827 scopus 로고
    • Solution to some electromagnetic problems using fast Fourier transform with conjugate gradient method
    • Sept. 25
    • M. F. Catedra, “Solution to some electromagnetic problems using fast Fourier transform with conjugate gradient method,” Elec-tron. Lett., 22, pp. 1049–1051, Sept. 25, 1986.
    • (1986) Elec-tron. Lett. , vol.22 , pp. 1049-1051
    • Catedra, M.F.1
  • 17
    • 0023331373 scopus 로고
    • Comparison of two FFT conjugate gradient method and the finite-difference time-domain method for the 2-D absorption problem
    • April
    • D. T. Borup, D. M. Sullivan, and O. P. Gandhi, “Comparison of two FFT conjugate gradient method and the finite-difference time-domain method for the 2-D absorption problem, IEEE Trans. Microwave Theory Tech., MTT-35, no. 4, pp. 383–395, April, 1987.
    • (1987) IEEE Trans. Microwave Theory Tech. , vol.MTT-35 , Issue.4 , pp. 383-395
    • Borup, D.T.1    Sullivan, D.M.2    Gandhi, O.P.3
  • 18
    • 0023581009 scopus 로고
    • Calculation of electromagnetic scattering from a dielectric cylinder using the conjugate gradient method and FFT
    • December
    • C. C. Su, “Calculation of electromagnetic scattering from a dielectric cylinder using the conjugate gradient method and FFT,” IEEE Trans. Ant. Prop., AP-35, no. 12, pp. 1418–1425, December, 1987.
    • (1987) IEEE Trans. Ant. Prop. , vol.AP-35 , Issue.12 , pp. 1418-1425
    • Su, C.C.1
  • 19
    • 0024717066 scopus 로고
    • The discrete Fourier transform method of solving differential-integral equations in scattering theory
    • August
    • C. Y. Shen, K. J. Glover, M. I. Sancer, and A. D. Varvatsis, “The discrete Fourier transform method of solving differential-integral equations in scattering theory,” IEEE Trans. Ant. Prop., AP-37, no. 8, pp. 1032–1041, August, 1989.
    • (1989) IEEE Trans. Ant. Prop. , vol.AP-37 , Issue.8 , pp. 1032-1041
    • Shen, C.Y.1    Glover, K.J.2    Sancer, M.I.3    Varvatsis, A.D.4
  • 20
    • 0002275527 scopus 로고
    • Integral-equation solution of three-dimensional scattering problems
    • R. Mittra (ed.), New York, Pergamon Press
    • A. J. Poggio and E. K. Miller, “Integral-equation solution of three-dimensional scattering problems,” in R. Mittra (ed.), Computer Techniques for Electromagnetics, New York, Pergamon Press, 1973.
    • (1973) Computer Techniques for Electromagnetics
    • Poggio, A.J.1    Miller, E.K.2
  • 21
    • 0019058460 scopus 로고
    • Simple and efficient numerical methods for problems of electromagnetic radiation and scattering from surfaces
    • A. Glisson and D. R. Wilton, “Simple and efficient numerical methods for problems of electromagnetic radiation and scattering from surfaces,” IEEE Trans. Ant. Prop., AP-28, no. 5, pp. 593–506, 1980.
    • (1980) IEEE Trans. Ant. Prop. , vol.AP-28 , Issue.5 , pp. 506-593
    • Glisson, A.1    Wilton, D.R.2
  • 22
    • 0000431418 scopus 로고
    • Rapid solution of integral equations of scattering theory in two dimensions
    • V. Rokhlin, “Rapid solution of integral equations of scattering theory in two dimensions,” J. Comput. Phys., 86, pp. 414–439, 1990.
    • (1990) J. Comput. Phys. , vol.86 , pp. 414-439
    • Rokhlin, V.1
  • 23
    • 0343926705 scopus 로고
    • Transformations that produce a sparse moment matrix
    • F. X. Canning, “Transformations that produce a sparse moment matrix,” J. Electromagnetic Waves Applications, 4, pp. 983–993, 1990.
    • (1990) J. Electromagnetic Waves Applications , vol.4 , pp. 983-993
    • Canning, F.X.1
  • 24
    • 0024772059 scopus 로고
    • An N2 algorithm for the multiple scattering solution of N scatterers
    • W. C. Chew, “An N2 algorithm for the multiple scattering solution of N scatterers,” Micro. Optical Tech. Letter, 2, no. 11, pp. 380–383, 1989.
    • (1989) Micro. Optical Tech. Letter , vol.2 , Issue.11 , pp. 380-383
    • Chew, W.C.1
  • 25
    • 0025400219 scopus 로고
    • A multiple scattering solution for the effective permittivity of a sphere mixture
    • W. C. Chew, J. Friedrich, and R. Geiger, “A multiple scattering solution for the effective permittivity of a sphere mixture,” IEEE Geoscience and Remote Sensing, 28, no. 2, p. 207, 1990.
    • (1990) IEEE Geoscience and Remote Sensing , vol.28 , Issue.2 , pp. 207
    • Chew, W.C.1    Friedrich, J.2    Geiger, R.3
  • 26
    • 0025403368 scopus 로고
    • An efficient algorithm for solution of a scattering problem
    • March
    • Y. M. Wang and W. C. Chew, “An efficient algorithm for solution of a scattering problem,” Micro. Opt. Tech. Lett., 3, no. 3, pp. 102–106, March, 1990.
    • (1990) Micro. Opt. Tech. Lett. , vol.3 , Issue.3 , pp. 102-106
    • Wang, Y.M.1    Chew, W.C.2
  • 27
    • 0025433864 scopus 로고
    • A fast algorithm for solution of a scattering problem using a recursive aggregate tau matrix method
    • May
    • W. C. Chew and Y. M. Wang, “A fast algorithm for solution of a scattering problem using a recursive aggregate tau matrix method,” Micro. Opt. Tech. Lett., 3, no. 5, pp. 164–169, May 1990.
    • (1990) Micro. Opt. Tech. Lett. , vol.3 , Issue.5 , pp. 164-169
    • Chew, W.C.1    Wang, Y.M.2
  • 28
    • 0026125635 scopus 로고
    • Solution of large 2-D inhomogeneous scatterers for TM waves by fast recursive algorithm
    • March
    • Y. M. Wang and W. C. Chew, “Solution of large 2-D inhomogeneous scatterers for TM waves by fast recursive algorithm,” Micro. Opt. Tech. Lett., 4, no. 3, March 1991.
    • (1991) Micro. Opt. Tech. Lett. , vol.4 , Issue.3
    • Wang, Y.M.1    Chew, W.C.2
  • 29
    • 0026765273 scopus 로고
    • Solution of oblong, dielectric coated, metallic scatterers by the recursive algorithm
    • January
    • J. H. Lin and W. C. Chew, “Solution of oblong, dielectric coated, metallic scatterers by the recursive algorithm,” Electron. Lett., 28, no. 2, pp. 185–186, January 1992.
    • (1992) Electron. Lett. , vol.28 , Issue.2 , pp. 185-186
    • Lin, J.H.1    Chew, W.C.2
  • 30
    • 0026869306 scopus 로고
    • A recursive T-matrix algorithm for strips and patches
    • L. Gurel and W. C. Chew, “A recursive T-matrix algorithm for strips and patches,” Radio Science, 27, no. 3, pp. 387–401, 1992.
    • (1992) Radio Science , vol.27 , Issue.3 , pp. 387-401
    • Gurel, L.1    Chew, W.C.2
  • 31
    • 0026858013 scopus 로고
    • Scattering solution of three-dimen-sional array of patches using the recursive T-matrix algorithms
    • L. Gurel and W. C. Chew, “Scattering solution of three-dimen-sional array of patches using the recursive T-matrix algorithms,” Micro. Guided Wave Lett., 2, no. 5, 1992.
    • (1992) Micro. Guided Wave Lett. , vol.2 , Issue.5
    • Gurel, L.1    Chew, W.C.2
  • 32
    • 0026851496 scopus 로고
    • A generalized recursive algorithm for wave-scattering solutions in two dimensions
    • April
    • W. C. Chew, L. Gurel, Y. M. Wang, G. Otto, R. Wagner, and Q. H. Liu, “A generalized recursive algorithm for wave-scattering solutions in two dimensions,” IEEE Trans. Micro. Theory Tech., 40, no. 4, pp. 716–723, April 1992.
    • (1992) IEEE Trans. Micro. Theory Tech. , vol.40 , Issue.4 , pp. 716-723
    • Chew, W.C.1    Gurel, L.2    Wang, Y.M.3    Otto, G.4    Wagner, R.5    Liu, Q.H.6
  • 33
    • 84943680528 scopus 로고    scopus 로고
    • A recursive algorithm for wave-scattering using windowed addition theorem
    • W. C. Chew, Y. M. Wang, and L. Gurel, “A recursive algorithm for wave-scattering using windowed addition theorem,” J. Electromag. Waves Appl., accepted for publication.
    • J. Electromag. Waves Appl.
    • Chew, W.C.1    Wang, Y.M.2    Gurel, L.3
  • 34
    • 84975620187 scopus 로고
    • A review of wave-scattering solution tech-niques
    • December
    • W. C. Chew, “A review of wave-scattering solution tech-niques,” Asia-Pacific Eng. J., 1, no. 2, pp. 125–150, December 1991.
    • (1991) Asia-Pacific Eng. J. , vol.1 , Issue.2 , pp. 125-150
    • Chew, W.C.1
  • 35
    • 0026836992 scopus 로고
    • A recursive algorithm to compute the wave-scattering solution of a finite-strip array using an efficient plane-wave basis
    • W. C. Chew and C. C. Lu, “A recursive algorithm to compute the wave-scattering solution of a finite-strip array using an efficient plane-wave basis,” Micro. Opt. Tech. Lett., 5, no. 3, pp. 146–148, 1992.
    • (1992) Micro. Opt. Tech. Lett. , vol.5 , Issue.3 , pp. 146-148
    • Chew, W.C.1    Lu, C.C.2
  • 36
    • 0027186991 scopus 로고
    • Electromagnetic scattering of finite strip array on a dielectric slab
    • January
    • C. C. Lu and W. C. Chew, “Electromagnetic scattering of finite strip array on a dielectric slab,” IEEE Trans. Micro. Theory Tech., 41, no. 1, pp. 97–100, January 1993.
    • (1993) IEEE Trans. Micro. Theory Tech. , vol.41 , Issue.1 , pp. 97-100
    • Lu, C.C.1    Chew, W.C.2
  • 38
    • 0022061817 scopus 로고
    • Propagation of electromagnetic waves through geological beds in a geophysical probing environ-ment
    • May-June
    • W. C. Chew and B. Anderson, “Propagation of electromagnetic waves through geological beds in a geophysical probing environ-ment,” Radio Science, 20, no. 3, pp. 611–621, May-June 1985.
    • (1985) Radio Science , vol.20 , Issue.3 , pp. 611-621
    • Chew, W.C.1    Anderson, B.2
  • 39
    • 0026119834 scopus 로고
    • An efficient solution of well logging tools in a complex environment
    • W. C. Chew, Z. Nie, Q. Liu, and B. Anderson, “An efficient solution of well logging tools in a complex environment,” IEEE Trans. Geosci. Remote Sensing, 29, no. 2, pp. 308–313, 1991.
    • (1991) IEEE Trans. Geosci. Remote Sensing , vol.29 , Issue.2 , pp. 308-313
    • Chew, W.C.1    Nie, Z.2    Liu, Q.3    Anderson, B.4
  • 40
    • 0024104621 scopus 로고
    • Reflection and transmission operators for strips or disks embedded in homogeneous and layered media
    • W. C. Chew and L. Gurel, “Reflection and transmission operators for strips or disks embedded in homogeneous and layered media,” IEEE Trans. Microwave Theory Tech., MTT-36, no. 11, pp. 1488–1497, 1988.
    • (1988) IEEE Trans. Microwave Theory Tech. , vol.MTT-36 , Issue.11 , pp. 1488-1497
    • Chew, W.C.1    Gurel, L.2
  • 41
    • 0024104889 scopus 로고
    • Guidance and resonance conditions for strips or disks embedded in homogeneous and layered media
    • L. Gurel and W. C. Chew, “Guidance and resonance conditions for strips or disks embedded in homogeneous and layered media,” IEEE Trans. Microwave Theory Tech., 36, no. 11, pp. 1498–1506, 1988.
    • (1988) IEEE Trans. Microwave Theory Tech. , vol.36 , Issue.11 , pp. 1498-1506
    • Gurel, L.1    Chew, W.C.2
  • 42
    • 0014520869 scopus 로고
    • New formulation of acoustic scattering
    • P. C. Waterman, “New formulation of acoustic scattering,” J. Acoust. Soc. Am., 45, pp. 1417–1429, 1969.
    • (1969) J. Acoust. Soc. Am. , vol.45 , pp. 1417-1429
    • Waterman, P.C.1
  • 43
    • 0000937632 scopus 로고
    • T matrix for electromagnetic scattering from an arbitrary number of scatterers and representations of E(3)
    • Nov.
    • B. Peterson and S. Strom, “T matrix for electromagnetic scattering from an arbitrary number of scatterers and representations of E(3),” Phys. Rev. D, 8, pp. 3661–3678, Nov., 1973.
    • (1973) Phys. Rev. D , vol.8 , pp. 3661-3678
    • Peterson, B.1    Strom, S.2
  • 44
    • 84943675547 scopus 로고
    • McMoM2D-l. l, a computer code for 2D scattering by the method of moments
    • February
    • S. K. Jeng and S. W. Lee, “McMoM2D-l. l, a computer code for 2D scattering by the method of moments,” Defense Electromagnetic Analysis Company, Champaign, IL, February, 1991.
    • (1991)
    • Jeng, S.K.1    Lee, S.W.2
  • 45
    • 84943682099 scopus 로고
    • A recursive T-matrix approach for the solution of electromagnetic scattering by many spheres
    • October
    • Y. M. Wang and W. C. Chew, “A recursive T-matrix approach for the solution of electromagnetic scattering by many spheres,” Technical Report no. EM-WC-9-92, Electromagnetics Laboratory, Department of Electrical and Computer Engineering, University of Illinois, October 1992.
    • (1992) Technical Report no.
    • Wang, Y.M.1    Chew, W.C.2
  • 46
    • 84943679691 scopus 로고
    • Rhode Island
    • N. J. Vilenkin, Special Functions and the Theory of Group Representations,: Providence, Rhode Island, American Mathematical Society, 1968.
    • (1968)
    • Vilenkin, N.J.1
  • 47
    • 84980258667 scopus 로고
    • An iterative solution of the two-dimensional electromagnetic inverse scattering problem
    • Y. M. Wang and W. C. Chew, “An iterative solution of the two-dimensional electromagnetic inverse scattering problem,” International J. Imaging Systems Tech., 1, pp. 100–108, 1989.
    • (1989) International J. Imaging Systems Tech. , vol.1 , pp. 100-108
    • Wang, Y.M.1    Chew, W.C.2
  • 48
    • 0025449269 scopus 로고
    • Reconstruction of two-dimen-sional permittivity distribution using the distorted Born iterative method
    • W. C. Chew and Y. M. Wang, “Reconstruction of two-dimen-sional permittivity distribution using the distorted Born iterative method,” IEEE Trans. Medical I mag., 9, no. 2, pp. 218–225, 1990.
    • (1990) IEEE Trans. Medical I mag. , vol.9 , Issue.2 , pp. 218-225
    • Chew, W.C.1    Wang, Y.M.2
  • 49
    • 0026543197 scopus 로고
    • Nonperturbative diffraction tomography via Gauss-Newton iteration applied to the scattering integral equation
    • D. T. Borup, S. A. Johnson, W. W. Kim, and M. J. Berggren, “Nonperturbative diffraction tomography via Gauss-Newton iteration applied to the scattering integral equation,” Ultrasonic Iwaging, 14, pp. 69–85, 1992.
    • (1992) Ultrasonic Iwaging , vol.14 , pp. 69-85
    • Borup, D.T.1    Johnson, S.A.2    Kim, W.W.3    Berggren, M.J.4


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