A set of novel Surface Integral Equations for electromagnetic scattering from homogeneous penetrable objects

Based on the surface equivalence principle, surface integral equations (SIEs) are widely used to solve the scattering problems involving homogeneous penetrable objects. Due to the flexibility of the surface equivalence principle, different SIEs could be developed derived from different configurations of the equivalent problems. In this paper, a set of novel SIEs has been introduced from a new configuration of equivalent problem in which both the exterior and interior equivalent problems have only one set of unknown respectively, leading to the significant simplification of the formulas of the new SIEs. Furthermore, the new SIEs have four alternative forms, which provide the possibility to make the best of the eigen properties of different operators to accelerate the convergence speed. Numerical example shows the correctness of the newly developed integral equations.