Vector Single-Source SIE for TE Scattering From Objects Embedded in Multilayers
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A single-source (SS) surface integral equation (SIE) for transverse electric (TE) scattering from 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 (DSAO), only the electric current density is required. In addition, an efficient singularity cancellation approach is proposed to accurately evaluate singular and nearly singular integrals in the new formulation. Compared with other SIEs, like the Poggio-Miller-Chan-Harrington-Wu-Tsai (PMCHWT) formulation and other dual sources (DSs) formulations with both electric and magnetic current densities required, only single surface equivalent electric current density is required to be enforced on the outermost boundary in the proposed formulation. It is found that the overall count of unknowns and memory consumption can be significantly reduced and the conditioning of the final system is much better compared with the PMCHWT formulation. As numerical results shown, only a very small fraction amount of unknowns, memory and CPU time, 18 5 simulations, is possibly needed in the proposed formulation.
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