2000 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.

IEEE Transactions on Antennas and Propagation
Volume 48 Number 6, June 2000

Table of Contents for this issue

Complete paper in PDF format

Preconditioned Iterative Solution of Scattering from Rough Surfaces

James C. West

Page 1001.

Abstract:

Extensions to the functionally identical forward-backward (FB) and method of ordered multiple interactions iterative techniques have recently been introduced that improve the convergence characteristics with specific scattering geometries. These extensions are shown to be mathematically equivalent to applying preconditioners to the discretized integral equation that is iteratively solved. The same preconditioners can be used with any iterative solution technique. Numerical examples show that the generalized minimal residual (GMRES) and bi-conjugate gradient-stable (BICGSTAB) algorithms give similarly rapid convergence when applied to a preconditioned discretized integral equation.

References

  1. J. C. West and J. M. Sturm, "On iterative approaches for electromagnetic rough-surface scattering problems", IEEE Trans. Antennas Propagat., vol. 47, pp.  1281-1288, Aug.  1999.
  2. M. R. Pino, L. Landesa, J. L. Rodríguez, F. Obelleiro and R. J. Burholder, "The generalized forward-backward method for analyzing the scattering from targets on ocean-like rough surfaces", IEEE Trans. Antennas Propagat., vol. 47, pp.  961-969, June  1999.
  3. R. J. Adams and G. S. Brown, "An iterative solution of two-dimensional rough surface scattering problems based on a factorization of the helmholtz operator", IEEE Trans. Antennas Propagat., vol. 47, pp.  765-766, Apr.  1999.
  4. R. Barrett, M. Berry, T. F. Chan, J. Demmel, J. Donato, J. Dongarra, V. Eijkhout, R. Poza, C. Romine and H. B. der Vort, Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods, Philadelphia, PA: SIAM, 1994.
  5. D. M. Young and T.-Z. Mai, "The search for omega,"in Iterative Methods for Large Linear Systems, D. R. Kincaid, and L. J. Hayes, Eds. New York: Academic, 1990, pp.  293-311. 
  6. D. J. Donohue, H.-C. Ku and D. R. Thompson, "Application of iterative moment-method solutions to ocean surface radar scattering", IEEE Trans. Antennas Propagat., vol. 46, pp.  121-132, Jan.  1998.