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An Accurate Low-Order Discretization Scheme for the Identity Operator in the Magnetic Field and Combined Field Integral Equations

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A new low-order discretization scheme for the identity operator in the magnetic field integral equation (MFIE) is discussed. Its concept is derived from the weak-form representation of combined sources that… Click to show full abstract

A new low-order discretization scheme for the identity operator in the magnetic field integral equation (MFIE) is discussed. Its concept is derived from the weak-form representation of combined sources that are discretized with Rao–Wilton–Glisson functions. The resulting MFIE overcomes the accuracy problem of the classical MFIE while it maintains fast iterative-solver convergence. The improvement in accuracy is verified with a mesh refinement analysis and with near- and far-field scattering results. Furthermore, simulation results for a combined field integral equation (CFIE) involving the new MFIE show that this CFIE is interior resonance free and well-conditioned like the classical CFIE but also accurate as the electric field integral equation.

Keywords: low order; scheme identity; field; order discretization; field integral; discretization scheme

Journal Title: IEEE Transactions on Antennas and Propagation
Year Published: 2018

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