The application of Lanczos S-expansion method to the solution of TM scattering from a dielectric cylinder of arbitrary cross section

An iterative method of solution of an integral equation arising in electromagnetic scattering from penetrable bodies is presented. The solution method, first discussed by C. Lanczos (1950), is valid for all values of the dielectric constant, and is similar to the Liouville-Neumann series. The series resulting from this method does not have the convergence difficulties associated with the Liouville-Neumann series. Results for several cases are presented to illustrate the utility of the method.<
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