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Volumn 54, Issue 7, 2006, Pages 2022-2033

On two types of convergence in the method of auxiliary sources

Author keywords

Convergence of numerical methods; Fredholm integral equations; Scattering

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; ELECTROMAGNETIC FIELD MEASUREMENT; ELECTROMAGNETIC WAVE SCATTERING; INTEGRATION; PROBLEM SOLVING;

EID: 33746870720     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAP.2006.877171     Document Type: Article
Times cited : (52)

References (38)
  • 1
    • 0025469707 scopus 로고
    • "Analytic continuation considerations when using generalized formulations for scattering problems"
    • Aug
    • Y. Leviatan, "Analytic continuation considerations when using generalized formulations for scattering problems," IEEE Trans. Antennas Propag., vol. 38, no. 8, pp. 1259-1263, Aug. 1990.
    • (1990) IEEE Trans. Antennas Propag. , vol.38 , Issue.8 , pp. 1259-1263
    • Leviatan, Y.1
  • 2
    • 0036592358 scopus 로고    scopus 로고
    • "Aspects of the Method of Auxiliary Sources (MAS) in computational electromagnetics"
    • Jun
    • D. I. Kaklamani and H. T. Anastassiu, "Aspects of the Method of Auxiliary Sources (MAS) in computational electromagnetics," IEEE Antennas Propag. Mag., vol. 44, no. 3, pp. 48-64, Jun. 2002.
    • (2002) IEEE Antennas Propag. Mag. , vol.44 , Issue.3 , pp. 48-64
    • Kaklamani, D.I.1    Anastassiu, H.T.2
  • 5
    • 0004117648 scopus 로고    scopus 로고
    • Document available at [Online]. Available: Aug
    • R. M. Gray, Toeplitz and Circulant Matrices: A Review. Document available at [Online]. Available: http://ee.stanford.edu/~gray/ toeplitz.pdf, Aug. 2002
    • (2002) Toeplitz and Circulant Matrices: A Review
    • Gray, R.M.1
  • 6
    • 9144228721 scopus 로고    scopus 로고
    • "Error estimation and optimization of the Method of Auxiliary Sources (MAS) applied to TE scattering by a perfectly conducting circular cylinder"
    • H. T. Anastassiu and D. I. Kaklamani, "Error estimation and optimization of the Method of Auxiliary Sources (MAS) applied to TE scattering by a perfectly conducting circular cylinder," J. Electromagn. Waves and Appl., vol. 18, no. 10, pp. 1283-1294, 2004.
    • (2004) J. Electromagn. Waves and Appl. , vol.18 , Issue.10 , pp. 1283-1294
    • Anastassiu, H.T.1    Kaklamani, D.I.2
  • 7
    • 2942704216 scopus 로고    scopus 로고
    • "Accuracy analysis and optimization of the method of auxiliary sources (MAS) for scattering by a circular cylinder"
    • Jun
    • H. T. Anastassiu, D. G. Lymperopoulos, and D. I. Kaklamani, "Accuracy analysis and optimization of the method of auxiliary sources (MAS) for scattering by a circular cylinder," IEEE Trans. Antennas Propag., vol. 52, no. 6, pp. 1541-1547, Jun. 2004.
    • (2004) IEEE Trans. Antennas Propag. , vol.52 , Issue.6 , pp. 1541-1547
    • Anastassiu, H.T.1    Lymperopoulos, D.G.2    Kaklamani, D.I.3
  • 8
    • 3042643010 scopus 로고    scopus 로고
    • "An analytical method of auxiliary sources solution for plane wave scatering by impedance cylinders - A reference solution for the numerical method of an xiliary sources"
    • N. V. Larsen and O. Breinbjerg, "An analytical method of auxiliary sources solution for plane wave scatering by impedance cylinders - a reference solution for the numerical method of an xiliary sources," J. Electromagn. Waves and Appl., vol. 18, no. 6, pp. 745-761, 2004.
    • (2004) J. Electromagn. Waves and Appl. , vol.18 , Issue.6 , pp. 745-761
    • Larsen, N.V.1    Breinbjerg, O.2
  • 9
    • 0041950033 scopus 로고    scopus 로고
    • "Some aspects of the method of fundamental solutions for certain harmonic problems"
    • Sept
    • Y.-S. Smyrlis and A. Karageorghis, "Some aspects of the method of fundamental solutions for certain harmonic problems," J. Scientific Computing, vol. 16, no. 3, pp. 341-371, Sept. 2001.
    • (2001) J. Scientific Computing , vol.16 , Issue.3 , pp. 341-371
    • Smyrlis, Y.-S.1    Karageorghis, A.2
  • 10
    • 12344311902 scopus 로고    scopus 로고
    • "A hybrid MAS/MOM technique for 2D impedance scatterers illuminated by closely positioned sources"
    • Jan. 20
    • N. V. Larsen and O. Breinbjerg, "A hybrid MAS/MOM technique for 2D impedance scatterers illuminated by closely positioned sources," Microw. Opt. Technol. Lett., vol. 44, no. 2, pp. 112-114, Jan. 20, 2005.
    • (2005) Microw. Opt. Technol. Lett. , vol.44 , Issue.2 , pp. 112-114
    • Larsen, N.V.1    Breinbjerg, O.2
  • 11
    • 13344261361 scopus 로고    scopus 로고
    • "An analytical method of auxiliary sources solution for line source illumination of impedance cylinders"
    • in Dniepropetrovsk, Ukraine, Sep. 14-17
    • N. V. Larsen and O. Breinbjerg, "An analytical method of auxiliary sources solution for line source illumination of impedance cylinders," in MMET '04, 10th Int. Conf. on Mathematical Methods in Electromagnetic Theory, Dniepropetrovsk, Ukraine, Sep. 14-17, 2004, pp. 25-29.
    • (2004) MMET '04, 10th Int. Conf. on Mathematical Methods in Electromagnetic Theory , pp. 25-29
    • Larsen, N.V.1    Breinbjerg, O.2
  • 12
    • 0034295860 scopus 로고    scopus 로고
    • "Accuracy of the method of moments for scattering by a cylinder"
    • Oct
    • K. F. Warnick and W. C. Chew, "Accuracy of the method of moments for scattering by a cylinder," IEEE Trans. Microwave Theory Techniques, vol. 48, no. 10, pp. 1652-1660, Oct. 2000.
    • (2000) IEEE Trans. Microwave Theory Techniques , vol.48 , Issue.10 , pp. 1652-1660
    • Warnick, K.F.1    Chew, W.C.2
  • 13
    • 14644401741 scopus 로고    scopus 로고
    • "Error analysis of the moment method"
    • Dec
    • K. F. Warnick and W. C. Chew, "Error analysis of the moment method," IEEE Antennas Propag. Mag., vol. 46, no. 6, pp. 38-53, Dec. 2004.
    • (2004) IEEE Antennas Propag. Mag. , vol.46 , Issue.6 , pp. 38-53
    • Warnick, K.F.1    Chew, W.C.2
  • 16
    • 0003957510 scopus 로고
    • 4th ed. New York: Cambridge Univ. Press, sec. 5.31, 5.5, (reprinted,)
    • E. T. Whittaker and G. N. Watson, A Course of Modern Analysis, 4th ed. New York: Cambridge Univ. Press, 1927, sec. 5.31, 5.5, (reprinted, 1992).
    • (1927) A Course of Modern Analysis
    • Whittaker, E.T.1    Watson, G.N.2
  • 19
    • 4243439752 scopus 로고    scopus 로고
    • "Highly directive current distributions: General theory"
    • Aug
    • D. Margetis, G. Fikioris, J. M. Myers, and T. T. Wu, "Highly directive current distributions: General theory," Phys. Rev. E, vol. 58, no. 2, pp. 2531-2547, Aug. 1998.
    • (1998) Phys. Rev. E , vol.58 , Issue.2 , pp. 2531-2547
    • Margetis, D.1    Fikioris, G.2    Myers, J.M.3    Wu, T.T.4
  • 20
    • 0035268777 scopus 로고    scopus 로고
    • "On the application of numerical methods to Hallén's equation"
    • Mar
    • G. Fikioris and T. T. Wu, "On the application of numerical methods to Hallén's equation," IEEE Trans. Antennas Propag., vol. 49, no. 3, pp. 383-392, Mar. 2001.
    • (2001) IEEE Trans. Antennas Propag. , vol.49 , Issue.3 , pp. 383-392
    • Fikioris, G.1    Wu, T.T.2
  • 21
    • 0042363726 scopus 로고    scopus 로고
    • "The use of the frill generator in thin-wire integral equations"
    • Aug
    • G. Fikioris, J. Lionas, and C. G. Lioutas, "The use of the frill generator in thin-wire integral equations," IEEE Trans. Antennas Propag., vol. 51, no. 8, pp. 1847-1854, Aug. 2003.
    • (2003) IEEE Trans. Antennas Propag. , vol.51 , Issue.8 , pp. 1847-1854
    • Fikioris, G.1    Lionas, J.2    Lioutas, C.G.3
  • 22
    • 0034784025 scopus 로고    scopus 로고
    • "The approximate integral equation for a cylindrical scatterer has no solution"
    • G. Fikioris, "The approximate integral equation for a cylindrical scatterer has no solution," J. Electromagn. Waves Appl., vol. 15, no. 9, pp. 1153-1159, 2001.
    • (2001) J. Electromagn. Waves Appl. , vol.15 , Issue.9 , pp. 1153-1159
    • Fikioris, G.1
  • 26
    • 0014629341 scopus 로고
    • "Example of the generalised-function validity of the Rayleigh hypothesis"
    • Dec. 27
    • M. L. Burrows, "Example of the generalised-function validity of the Rayleigh hypothesis," Electron. Lett., vol. 5, no. 26, pp. 694-695, Dec. 27, 1969.
    • (1969) Electron. Lett. , vol.5 , Issue.26 , pp. 694-695
    • Burrows, M.L.1
  • 27
    • 0024178696 scopus 로고
    • "Generalized formulations for electromagnetic scattering from perfectly conducting and homogeneous material bodies - Theory and numerical solution"
    • Dec
    • Y. Leviatan, A. Boag, and A. Boag, "Generalized formulations for electromagnetic scattering from perfectly conducting and homogeneous material bodies - theory and numerical solution," IEEE Trans. Antennas Propag., vol. 36, no. 12, pp. 1722-1734, Dec. 1988.
    • (1988) IEEE Trans. Antennas Propag. , vol.36 , Issue.12 , pp. 1722-1734
    • Leviatan, Y.1    Boag, A.2    Boag, A.3
  • 29
    • 0003362292 scopus 로고
    • "Introduction to linear antennas"
    • in R. E. Collin and F. J. Zucker, Eds. New York: McGraw-Hill, ch. 8
    • T. T. Wu, "Introduction to linear antennas," in Antenna Theory, Part I, R. E. Collin and F. J. Zucker, Eds. New York: McGraw-Hill, 1969, ch. 8.
    • (1969) Antenna Theory, Part I
    • Wu, T.T.1
  • 30
    • 0014906660 scopus 로고
    • "On the restricted validity of point-matching techniques"
    • Dec
    • L. Lewin, "On the restricted validity of point-matching techniques," IEEE Trans. Microw. Theory Techniques, vol. MTT-18, no. 12, pp. 1041-1047, Dec. 1970.
    • (1970) IEEE Trans. Microw. Theory Techniques , vol.MTT-18 , Issue.12 , pp. 1041-1047
    • Lewin, L.1
  • 31
    • 0031257897 scopus 로고    scopus 로고
    • "Inversion of block-circulant matrices and circular array approach"
    • Oct
    • R. Vescovo, "Inversion of block-circulant matrices and circular array approach," IEEE Trans. Antennas Propag., vol. 45, no. 10, pp. 1565-1567, Oct. 1997.
    • (1997) IEEE Trans. Antennas Propag. , vol.45 , Issue.10 , pp. 1565-1567
    • Vescovo, R.1
  • 33
    • 0030270325 scopus 로고    scopus 로고
    • "On a misconception involving point collocation and the Rayleigh hypothesis"
    • Oct
    • S. Christiansen and R. E. Kleinman, "On a misconception involving point collocation and the Rayleigh hypothesis," IEEE Trans. Antennas Propag., vol. 44, no. 10, pp. 1309-1316, Oct. 1996.
    • (1996) IEEE Trans. Antennas Propag. , vol.44 , Issue.10 , pp. 1309-1316
    • Christiansen, S.1    Kleinman, R.E.2
  • 34
    • 0004128503 scopus 로고    scopus 로고
    • New York: Springer, sec. 9.4
    • R. Krees, Numerical Analysis. New York: Springer, 1998, sec. 9.4.
    • (1998) Numerical Analysis
    • Krees, R.1
  • 36
    • 0038267909 scopus 로고    scopus 로고
    • "Numerical analysis of cylindrical dipole antennas using an auxiliary sources mode"
    • P. J. Papakanellos and C. N. Capsalis, "Numerical analysis of cylindrical dipole antennas using an auxiliary sources mode," J. of Electromagn. Waves Appl., vol. 17, no. 3, pp. 389-407, 2003.
    • (2003) J. of Electromagn. Waves Appl. , vol.17 , Issue.3 , pp. 389-407
    • Papakanellos, P.J.1    Capsalis, C.N.2
  • 37
    • 4544386523 scopus 로고    scopus 로고
    • "On the combination of the method of auxiliary sources with reaction matching for the analysis of thin cylindrical antennas"
    • P. J. Papakanellos and C. N. Capsalis, "On the combination of the method of auxiliary sources with reaction matching for the analysis of thin cylindrical antennas," Int. J. Numer. Model. 2004, vol. 17, pp. 433-449, 2004.
    • (2004) Int. J. Numer. Model. 2004 , vol.17 , pp. 433-449
    • Papakanellos, P.J.1    Capsalis, C.N.2
  • 38
    • 0027609350 scopus 로고
    • "Nonapproximable diagrams and nonradiating currents"
    • B. Z. Katsenelenbaum, "Nonapproximable diagrams and nonradiating currents," Radiotekhnika i elektronika, no. 6, pp. 998-1005, 1993.
    • (1993) Radiotekhnika I Elektronika , Issue.6 , pp. 998-1005
    • Katsenelenbaum, B.Z.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.