In this chapter, we will present surface integral equations for electromagnetic scattering. Galerkin methods using mixed vector–scalar potentials and Nyström collocation methods using hyper-singular formulation will be discussed. Also, we will discuss the issue of removing resonance from cavity modes with a combined integral equation approach. Finally, the high-order Rao–Wilton–Glisson (RWG) current basis for the Galerkin methods will be given. The volume integral equation method for Maxwell’s equations will be discussed in Sect.  14.4 .

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High-Order Methods for Surface Electromagnetic Integral Equations

  • Wei Cai

摘要

In this chapter, we will present surface integral equations for electromagnetic scattering. Galerkin methods using mixed vector–scalar potentials and Nyström collocation methods using hyper-singular formulation will be discussed. Also, we will discuss the issue of removing resonance from cavity modes with a combined integral equation approach. Finally, the high-order Rao–Wilton–Glisson (RWG) current basis for the Galerkin methods will be given. The volume integral equation method for Maxwell’s equations will be discussed in Sect.  14.4 .