Some recent developments in iterative techniques for solving electromagnetic boundary value problems

The objective of this paper is to present a brief review of recent developments in a class of iterative techniques for solving electromagnetic boundary value problems. The iterative algorithm discussed herein is based on the minimization of the norm of the boundary condition error on a body whose scattering properties are of interest. It is shown that different choices of variational functions in the minimization process lead to different iteration schemes whose convergence properties can vary considerably. To illustrate this point, three different variational functions are chosen to demonstrate their applications in solving three different types of electromagnetic boundary value problems. Some observations on the use of iterative techniques for solving scattering problems with multiple incidence angles are included in the paper.

[1]  R. Mittra,et al.  Iterative Approaches to the Solution of Electromagnetic Boundary Value Problems , 1985 .

[2]  R. Mittra,et al.  On the Implementation and Performance of Iterative Methods for Computational Electromagnetics , 1985 .

[3]  Raj Mittra,et al.  Analysis of a Class of Cylindrical Multiconductor Transmission Lines Using an Iterative Approaclh , 1987 .

[4]  A. McCowen,et al.  A generalization of Van den Berg's integral-square error iterative computational technique for scattering , 1987 .

[5]  P. M. Berg Iterative computational techniques in scattering based upon the integrated square error criterion , 1984 .

[6]  D. Wilton,et al.  Electromagnetic scattering by surfaces of arbitrary shape , 1980 .

[7]  Ti-Shu Li A Spectral-Domain Approach to the Numerical-Solution of Electromagnetic. Scattering Problems , 1972 .

[8]  T. Sarkar,et al.  Survey of numerical methods for solution of large systems of linear equations for electromagnetic field problems , 1981 .

[9]  Raj Mittra,et al.  Method of conjugate gradients for the numerical solution of large-body electromagnetic scattering problems , 1985 .

[10]  P. M. van den Berg,et al.  The Electric-Field Problem of an Interdigital Transducer in a Multilayered Structure , 1985 .

[11]  An Iterative Moment Method for Analyzing the Electromagnetic Field Distribution Inside Inhomogeneous Lossy Dielectric Objects (Short Papers) , 1985 .

[12]  H. Bertoni,et al.  Reflection from a periodically perforated plane using a subsectional current approximation , 1983 .

[13]  P. M. Berg Iterative Schemes Based on the Minimization of the Error in Field Problems , 1985 .

[14]  Chao-Chun Chen,et al.  Scattering by a two-dimensional periodic array of conducting plates , 1970 .