High-order convergence with a low-order discretization of the 2-D MFIE

Moment method solutions to the magnetic field integral equation (MFIE) are often less accurate for a given grid than corresponding solutions to the electric field integral equation (EFIE). We propose that the cause of this observation is the identity operator in the MFIE and show how regularizing the identity increases the convergence rate of the discretized two-dimensional MFIE by three orders.

[1]  Weng Cho Chew,et al.  Accuracy of the method of moments for scattering by a cylinder , 2000 .

[2]  Comments on "Variational nature of Galerkin and non-Galerkin moment method solutions" , 1997 .

[3]  Gang Kang,et al.  Regulated kernel for the electric field integral equation , 2000, IEEE Antennas and Propagation Society International Symposium. Transmitting Waves of Progress to the Next Millennium. 2000 Digest. Held in conjunction with: USNC/URSI National Radio Science Meeting (C.

[4]  S. M. Kirkup,et al.  Solution of Helmholtz Equation in the Exterior Domain by Elementary Boundary Integral Methods , 1995 .

[5]  Weng Cho Chew,et al.  On the spectrum of the electric field integral equation and the convergence of the moment method , 2001 .

[6]  A. Peterson,et al.  Variational nature of Galerkin and non-Galerkin moment method solutions , 1996 .

[7]  J. Richmond.  On the variational aspects of the moment method (electromagnetics) , 1991 .

[8]  C.P. Davis,et al.  Error analysis of 2-D MoM for MFIE/EFIE/CFIE based on the circular cylinder , 2005, IEEE Transactions on Antennas and Propagation.

[9]  M. I. Aksun,et al.  Choices of expansion and testing functions for the method of moments applied to a class of electromagnetic problems , 1993 .

[10]  Variational aspects of the reaction in the method of moments , 1994 .

[11]  L. Gurel,et al.  Investigation of the inaccuracy of the MFIE discretized with the RWG basis functions , 2004, IEEE Antennas and Propagation Society Symposium, 2004..

[12]  L. Gurel,et al.  Improving the accuracy of the MFIE with the choice of basis functions , 2004, IEEE Antennas and Propagation Society Symposium, 2004..