Extended integral equation formulation for scattering problems from a cylindrical scatterer
Abstract
An extended integral equation is developed for electromagnetic scattering from a perfectly conducting cylinder and a dielectric cylinder. The conventional surface integral equations cannot yield unique solutions when the wavenumber of the electromagnetic wave is equal to an eigenwavenumber of the system. Several methods to overcome this difficulty have been presented, but each method includes some drawbacks. A numerical method is proposed in which the boundary element method is applied to the extended integral equations with the observation points lying on a closed surface inside the scatterer. It is shown that the extended integral equations have unique solutions for any given wavenumber. As examples, plane wave scattering from a perfectly conducting elliptic cylinder, a dielectric elliptic cylinder, and a dielectric rectangular cylinder is numerically analyzed.
 Publication:

IEEE Transactions on Antennas and Propagation
 Pub Date:
 November 1988
 DOI:
 10.1109/8.9708
 Bibcode:
 1988ITAP...36.1580T
 Keywords:

 Electromagnetic Scattering;
 Elliptical Cylinders;
 Integral Equations;
 Plane Waves;
 Dielectrics;
 Spline Functions;
 Uniqueness Theorem;
 Wave Functions;
 Communications and Radar