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Articles

The Uniqueness Problem of the Surface Integral Equations of a Conducting Body in a Layered Medium - Abstract

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Pages 1267-1268 | Published online: 03 Apr 2012
 

Abstract

The scattering of electromagnetic waves by a closed conducting body of revolution in a layered medium is considered. The uniqueness problem of the resulting surface integral equations is addressed. A case study of a conducting body of revolution in a half-space is presented. The resonant frequencies at which the EFIE and MFIE fail are identified. The combined field integral equation (CFIE), the coupled Helmholtz integral equation formulation (CHIEF) and the correction factor technique (CFT) are used to remedy the nonuniqueness problem at these frequencies. If the object is confined to one layer, the EFIE and MFIE have the same set of resonant frequencies. On the other hand, when the object is penetrating the interface the EFIE and MFIE have different resonant frequencies which depend on the penetration depth. The condition number and the minimum singular value are used as indicators to test the validity of these methods. The range of these indicators at the resonant frequencies is shown to be formulation-dependent.

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