Novel Surface Integral Equation for TE Scattering Analysis by Objects Embedded in Multilayers
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An accurate and efficient approach for transverse electric (TE) scattering analysis by objects embedded in multilayers is proposed in this paper. Through recursively applying the surface equivalence theorem from innermost to outermost boundaries, an equivalent model with surface current sources enforced on the outermost boundary of the original object can be obtained. By further incorporated with the differential surface admittance operator, only single electric current source is required. Compared with other surface integral formulations, like the PMCHWT formulation, only one type of unknowns is required to be enforced on the outermost boundary in the proposed formulation. Therefore, the overall count of unknowns can be significantly reduced. In addition, it is found that the conditioning of the final system is improved compared with the PMCHWT formulation. Although overhead is required to derive the surface equivalent current density, the overall efficiency improvement is still significant. As numerical results shown, only a very small fraction amount of unknowns and CPU time, 18 formulation in our simulations, is possibly needed for the proposed formulation.
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