Abstract
ABSTRACT Electromagnetic formulations are presented that fully utilize the curvilinear geometry information available in parametric geometry codes. These parametric geometry codes (surface patch codes) are in wide use and the formulations presented can be used with any of these geometry codes Independent of the differences between versions. The ultimate goal is a three dimensional moment: method surface formulation enabling computation for bodies composed of metallic and nonmetallic portions. This goal requires that both the magnetic field integral equation operator and the electric field integral equation operator be encoded. To facilitate the presentation of the parametric geometry formulation of these operators, the simpler parametric geometry formulation for the physical optics integral is first presented. Additional background material based on two dimensional analysis is presented to address issues of faceting versus curvilinear and basis function choice.
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