A hybrid symmetric FEM/MOM formulation applied to scattering by inhomogeneous bodies of revolution

A new symmetric formulation of the hybrid finite element method (HFEM) is described which combines elements of the electric field integral equation (EFIE) and the magnetic field integral equation (MFIE) for the exterior region along with the finite element solution for the interior region. The formu...

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Bibliographic Details
Published in:IEEE transactions on antennas and propagation 1994-06, Vol.42 (6), p.798-805
Main Authors: Hoppe, D.J., Epp, L.W., Jin-Fa Lee
Format: Article
Language:English
Subjects:
Bandwidth
Finite element methods
Integral equations
Magnetic fields
Message-oriented middleware
Nonuniform electric fields
Resonance
Resonant frequency
Scattering
Symmetric matrices
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Summary:A new symmetric formulation of the hybrid finite element method (HFEM) is described which combines elements of the electric field integral equation (EFIE) and the magnetic field integral equation (MFIE) for the exterior region along with the finite element solution for the interior region. The formulation is applied to scattering by inhomogeneous bodies of revolution. To avoid spurious modes in the interior region a combination of vector and nodal based finite elements are used. Integral equations in the exterior region are used to enforce the Sommerfeld radiation condition by matching both the tangential electric and magnetic fields between interior and exterior regions. Results from this symmetric formulation as well as formulations based solely on the EFIE or MFIE are compared to exact series solutions and integral equation solutions for a number of examples. The behaviors of the symmetric, EFIE, and MFIE solutions are examined at potential resonant frequencies of the interior and exterior regions, demonstrating the advantage of this symmetric formulation.< >
ISSN:0018-926X
1558-2221
DOI:10.1109/8.301698