An optimized MAS for solving scattering problems

Authors

  • A. Capozzoli Universita di Napoli Federico II, Italy
  • C. Curcio Universita di Napoli Federico II, Italy
  • G. D’Elia Universita di Napoli Federico II, Italy
  • G. De Bono Universita di Napoli Federico II, Italy
  • A. Liseno Universita di Napoli Federico II, Italy
  • P. Vinetti Universita di Napoli Federico II, Italy

DOI:

https://doi.org/10.1109/ICATT.2009.4435185

Keywords:

electromagnetic scattering, auxiliary sources, singular value optimization

Abstract

A new criterion driving the choice of the locations of the Auxiliary Sourcers (AS) is introduced with the aim to improve the performance of the Method of Auxiliary Sources (MAS) applied to the solution of the integral equations as those encountered in electro-magnetic scattering.

The approach is based on the optimization of the singular value behavior of the matrix relating the AS excitations and the scattered field values at the matching points on the scatterer boundary. The ill-conditioning of the problem of determining the AS excitations matching the boundary conditions is then significantly reduced and the accuracy of the estimated scattered field is improved.

The performance of the method is numerically assessed, in a 2D scalar geometry, by discussing in the details the case of a circular perfectly conducting scatterer.

References

KAKLAMANI, D.I.; ANASTASSIU, H.T. Aspects of the method of auxiliary sources (MAS) in computational electromagnetics. IEEE Antennas Prop. Mag., Jun. 2002, v.44, n.3, p.48-64.

KARKASHADZE, D.; ZARIDZE, R. The method of auxiliary sources in applied electrodynamics. Proc. of the Latsis Symp. on Comput. Electrodynamics, Zurich, CH, 1995, p.163-180.

HARRINGTON, R.F. Field Computation by Moment Methods. New York: IEEE Press, 1993.

ANASTASSIU, H.T.; LYMPEROPOULOS, D.G.; KAKLAMANI, D.I. Accuracy and optimization of the method of auxiliary sources (MAS) for scattering by a circular cylinder. IEEE Trans. Antennas Prop., Jan. 2004, v.52, n.6, p.1541-1547.

CURTIS, A. Optimal experiment design: cross-borehole tomographic examples. Geophys. J. Int., Feb. 2002, v.136, n.3, p.637-650.

CAPOZZOLI, A.; CURCIO, C.; D’ELIA, G.; LISENO, A.; VINETTI, P. A novel approach to the design of generalized plane-wave synthesizers. Proc. of the 3rd Europ. Conf. on Antennas Prop., 23-27 Mar. 2009, Berlin, Germany, CD ROM.

TAN, S.M.; FOX, C. Regularization Methods for Linear Inverse Problems, http://home.comcast.net/~SzeMengTan/InverseProblems/chap3.pdf.

Published

2009-10-10