Plane wave scattering from circular and hollow circular slit cylinders using the On Surface Radiation Condition (OSRC) approach
Ali, Syed Mahmood
Adler, Richard W.
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A new formulation of electromagnetic wave scattering by convex, two dimensional conducting bodies was introduced. This formulation, called the On Surface Radiation Condition (OSRC) approach is based upon an expansion of the radiation condition applied directly on the surface of the scatterer. Past approaches involved applying a radiation condition at some distance from the scatterer in order to achieve a nearly reflection free truncation of a finite difference time domain lattice. Application of a suitable radiation condition directly on the surface of the convex conducting scatterer can lead to substantial simplification of the frequency domain integral equation for the scattered field, which is reduced to just a line integral. In this thesis, the application of the second order radiation boundary condition to concave and re- entrant two dimensional bodies is considered. The specific shapes considered are slit circular cylinders and thick semi-circular cylinders. The formulation is done for the more challenging case of Transverse Electric (TE) polarization. The bodies considered here are two dimensional in nature and are perfectly conducting. Results are presented for the surface current distribution and scattering width of these cylinders and comparison is made with known results. It was found that the OSRC approach may not be applicable to concave structures and also for higher values of kb for convex bodies.
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