8
Views
2
CrossRef citations to date
0
Altmetric
Articles

An Iterative Technique Based on the Method of Least Squares Applied to Scattering Problems Using the k-Space Approach

, &
Pages 637-652 | Published online: 03 Apr 2012

References

  • Harrington , R. F. 1968 . Field Computation by Moment Methods , New York : MacMillan .
  • Hildebrand , F. B. 1952 . Methods of Applied Mathematics , Englewood Cliffs : Prentice-Hall .
  • Rektorys , K. 1975 . “ Variational Methods in Mathematics ” . In Science and Engineering , Boston : R. Reidel .
  • Sarkar , T. K. 1983 . A note on the variational method (Rayleigh-Ritz), Galerkin's Method, and the method of least squares . Radio Science , 18 ( No. 6 ) Nov.-Dec. : 1207 – 1224 .
  • Forray , M. J. 1968 . Variational Calculus in Science and Engineering , New York : McGraw-Hill .
  • Golub , G. H. and Van Loan , C. F. 1989 . Matrix Computations , Baltimore : The Johns Hopkins University Press .
  • Faddeeva , V. N. 1959 . Computational Methods of Linear Algebra , Edited by: Benster , C. D. New York : Dover .
  • Sarkar , T. K. and Rao , S. M. 1982 . An iterative method for solving electrostatic problems . IEEE Trans. Antennas Propagat. , AP-33 July : 611 – 616 .
  • Sarkar , T. K. and Arvas , E. 1985 . On a class of finite step iterative method (Conjugate Directions) for the solution of operator equations arising in electromagnetics . IEEE Trans. Antennas Propagat. , AP-33 Oct. : 1058 – 1066 .
  • Sarkar , T. K. , Siarkiewicz , K. R. and Stratton , R. F. 1981 . Survey of numerical methods for solution of large systems of linear equations for electromagnetic field problems . IEEE Trans. Antennas Propagat. , AP-29 Nov. : 847 – 856 .
  • Stakgold , I. 1979 . Green's Functions and Boundary Value Problems , New York : John Wiley .
  • Sarkar , T. K. 1983 . A study of various methods for computing electromagnetic fields utilizing thin wire integral equations . Radio Science , 18 ( No. 1 ) Jan. : 29 – 38 .
  • Van Den Berg , P. M. 1984 . Iterative computational techniques in scattering based upon the integrated square error criterion . IEEE Trans. Antennas Propagat. , AP- 32 Oct. : 1063 – 1071 .
  • Van Den Berg , P. M. and Kleinman , R. E. 1984 . The conjugate gradient spectral iterative technique for planar structures . IEEE Trans. Antennas Propagat. , AP-36 Oct. : 1418 – 1423 .
  • Chistodoulou , C. G. 1989 . Scattering from periodic strip gratings via the secantspectral iterative method . IEEE Trans. Antennas Propagat. , AP-37 Mar. : 407 – 410 .
  • Mackay , A. J. and Mccowen , A. 1989 . Convergence criteria for the extended matrix version of the spectral iteration technique . IEEE Trans. Antennas Propagat. , AP-37 Sept. : 1150 – 1155 .
  • Barkeshli , K. and Volakis , J. L. 1989 . Improving the convergence rate of the Conjugate Gradient FFT Method using subdomain basis functions . IEEE Trans. Antennas Propagat. , AP-37 July : 893 – 900 .
  • Catedra , M. F. , Gago , E. and Nuno , L. 1989 . A numerical scheme to obtain the RCS of three-dimensional bodies of resonant size using the Conjugate Gradient Method . IEEE Trans. Antennas Propagat. , AP-37 May : 528 – 537 .
  • Shen , C. Y. 1989 . The Discrete Fourier Transform Method of solving differentialintegral equations in scattering theory . IEEE Trans. Antennas Propagat. , AP- 37 Aug. : 1032 – 1041 .
  • Su , C. C. 1989 . Electromagnetic scattering by a dielectric body with arbitrary inhomogeneity and anisotropy . IEEE Trans. Antennas Propagat. , AP-37 Mar. : 384 – 389 .
  • Su , C. C. 1989 . Electromagnetic scattering by a dielectric body with arbitrary inhomogeneity and anisotropy . IEEE Trans. Antennas Propagat. , AP-37 Mar. : 384 – 389 .
  • Kastner , R. and Mittra , R. 1983 . A spectral-iteration technique for analyzing scattering from arbitrary bodies, Part I: Cylindrical scatterers with E-wave incidence . IEEE Trans. Antennas Propagat. , AP-31 May : 499 – 506 .
  • Kastner , R. and Mittra , R. A comparative study of the stacked 2-D spectral iterative technique, the moment method, asymptotic techniques and Bojarski's 3- D k-space method . presented at the International IEEE AP-Society Symposium . May 24–28 . Albuquerque , NM
  • Sarkar , T. K. , Arvas , E. and Ponnapalli , S. 1989 . Electromagnetic scattering from dielectric bodies . IEEE Trans. Antennas Propagat. , AP-37 May : 673 – 676 .
  • Bojarski , N. N. Mar. 1971 . “ k-space formulation of the electromagnetic scattering problem ” . In Tech. Rep. AFAL-TR-71–5 Mar. ,
  • Nachamkin , J. Integrating the dyadic Green's Function near sources . IEEE Trans. Antennas Propagat. ,
  • Boyse , W. E. and Kvam , T. M. Apr. 1988 . Lockheed Internal Report Apr. ,

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.