Novel monopolar MFIE MoM-discretization for the scattering analysis of small objects

We present a novel method of moments (MoM)-magnetic field integral equation (MFIE) discretization that performs closely to the MoM-EFIE in the electromagnetic analysis of moderately small objects. This new MoM-MFIE discretization makes use of a new set of basis functions that we name monopolar Rao-Wilton-Glisson (RWG) and are derived from the RWG basis functions. We show for a wide variety of small objects -curved and sharp-edged-that the new monopolar MoM-MFIE formulation outperforms the conventional MoM-MFIE with RWG basis functions.

[1]  D. Wilton,et al.  Electromagnetic scattering by surfaces of arbitrary shape , 1980 .

[2]  Andrew F. Peterson,et al.  Solution of the MFIE using curl-conforming basis functions , 2002, IEEE Antennas and Propagation Society International Symposium (IEEE Cat. No.02CH37313).

[3]  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.

[4]  Yahya Rahmat-Samii,et al.  The evaluation of MFIE integrals with the use of vector triangle basis functions , 1997 .

[5]  Weng Cho Chew,et al.  Magnetic field integral equation at very low frequencies , 2003 .

[6]  Roberto D. Graglia,et al.  Higher order interpolatory vector bases for computational electromagnetics," Special Issue on "Advanced Numerical Techniques in Electromagnetics , 1997 .

[7]  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..

[8]  Curl-conforming MFIE in the analysis of perfectly conducting sharply-edged objects , 2004, IEEE Antennas and Propagation Society Symposium, 2004..

[9]  D. Wilton,et al.  Simple and efficient numerical methods for problems of electromagnetic radiation and scattering from surfaces , 1980 .

[10]  B. Kolundžija,et al.  Entire-domain Galerkin method for analysis of metallic antennas and scatterers , 1993 .

[11]  D. Wilton,et al.  Potential integrals for uniform and linear source distributions on polygonal and polyhedral domains , 1984 .

[12]  D. A. Dunavant High degree efficient symmetrical Gaussian quadrature rules for the triangle , 1985 .

[13]  Glenn S. Smith,et al.  An estimate of the error caused by the plane-wave approximation in free-space dielectric measurement systems , 2002 .

[14]  Juan M. Rius,et al.  On the testing of the magnetic field integral equation with RWG basis functions in method of moments , 2001 .

[15]  Krzysztof A. Michalski,et al.  On the existence of branch points in the eigenvalues of the electric field integral equation operator in the complex frequency plane , 1983 .

[16]  J. Nédélec Mixed finite elements in ℝ3 , 1980 .

[17]  Juan M. Rius,et al.  MFIE MoM‐formulation with curl‐conforming basis functions and accurate kernel integration in the analysis of perfectly conducting sharp‐edged objects , 2005 .

[18]  E. Topsakal,et al.  A procedure for modeling material junctions in 3-D surface integral equation approaches , 2004, IEEE Transactions on Antennas and Propagation.