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The discretization of standard differential and volume integral equations (VIEs) pertinent to the electromagnetic analysis of negative permittivity media often results in ill-conditioned and slowly convergent systems of equations. We propose the use of a volume-surface combined field integral equation (VSCFIE) consisting of coupled surface combined field integral equations and VIEs to resolve this problem. The system leverages equivalence principles to artificially change the sign of the effective permittivity of the medium in which the polarization currents radiate. Numerical results obtained by analyzing time-harmonic TEz scattering from various 2-D layered cylinders suggests that discretization of the proposed VSCFIE yields well-conditioned and rapidly convergent systems of equations.
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Gomez et al. (2015) studied this question.
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