E-MFIE formulation for arbitrary PEC sheets

Thierry E. Gilles; Christophe Craeye; Marc Piette

doi:10.1109/TAP.2012.2201069

E-MFIE formulation for arbitrary PEC sheets

Thierry E. Gilles, Christophe Craeye, Marc Piette

Université Catholique de Louvain

Research output: Contribution to journal › Article › peer-review

Abstract

The scattering of an electromagnetic wave by a perfectly conducting sheet of arbitrary shape can be solved with the Method of Moments (MoM), but the solution obtained with the electric field integral equation (EFIE) yields the sum of the electric current densities on every opposite faces of the sheet, while the magnetic field integral equation (MFIE) cannot be used. In this paper, we first explain in detail the singularities of the MoM impedance matrices formed with the EFIE and MFIE applied to any arbitrarily shaped perfectly conducting sheet. This study suggests a new formulation, the E-MFIE, which is developed first in the most general way, and then in a more efficient form, to obtain the complete solution for the electric current densities on each face individually as well as around all sheet borders.

Original language	English
Article number	6203560
Pages (from-to)	3744-3753
Number of pages	10
Journal	IEEE Transactions on Antennas and Propagation
Volume	60
Issue number	8
DOIs	https://doi.org/10.1109/TAP.2012.2201069
Publication status	Published - 2012

Keywords

Current density
electric field integral equation (EFIE)
magnetic field integral equation (MFIE)

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10.1109/TAP.2012.2201069

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AU - Craeye, Christophe

AU - Piette, Marc

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AB - The scattering of an electromagnetic wave by a perfectly conducting sheet of arbitrary shape can be solved with the Method of Moments (MoM), but the solution obtained with the electric field integral equation (EFIE) yields the sum of the electric current densities on every opposite faces of the sheet, while the magnetic field integral equation (MFIE) cannot be used. In this paper, we first explain in detail the singularities of the MoM impedance matrices formed with the EFIE and MFIE applied to any arbitrarily shaped perfectly conducting sheet. This study suggests a new formulation, the E-MFIE, which is developed first in the most general way, and then in a more efficient form, to obtain the complete solution for the electric current densities on each face individually as well as around all sheet borders.

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E-MFIE formulation for arbitrary PEC sheets

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