Improving the accuracy of the MFIE with the choice of basis functions

In the method-of-moments (MOM) and the fast-multipole-method (FMM) solutions of the electromagnetic scattering problems modeled by arbitrary planar triangulations, the magnetic-field integral equation (MFIE) can be observed to give less accurate results compared to the electric-field integral equation (EFIE), if the current is expanded with the Rao-Wilton-Glisson (RWG) basis functions. The inaccuracy is more evident for problem geometries with sharp edges or tips. This paper shows that the accuracy of the MFIE depends strongly on the quality of the current modeling and that the accuracy can be significantly improved by the choice of the basis functions. Comparisons are performed for four different basis functions.


Improving the accuracy of the surface integral equations for low-contrast dielectric scatterers
Ergül, Özgür Salih (2007-06-15)
Solutions of scattering problems involving low-contrast dielectric objects are considered by employing surface integral equations. A stabilization procedure based on extracting the non-radiating part of the induced currents is applied so that the remaining radiating currents can be modelled appropriately and the scattered fields from the low-contrast objects can be calculated with improved accuracy. Stabilization is applied to both tangential (T) and normal (N) formulations in order to use the benefits of d...
Improving the Accuracy of MFIE and CFIE by Using Numerically Designed Testing Functions
Karaosmanoglu, Bariscan; Ergül, Özgür Salih (2016-07-01)
We present a novel approach for improving the accuracy of the magnetic-field integral equation (MFIE) and the combined-field integral equation (CFIE) by using numerically designed testing functions. The compatibility of the MFIE and CFIE systems with the corresponding one derived from the electric-field integral equation (EFIE) is used to determine testing weights in given templates of testing directions. The designed testing functions lead to more accurate solutions in comparison to the standard discretiza...
On the accuracy of MFIE and CFIE in the solution of large electromagnetic scattering problems
Ergül, Özgür Salih (null; 2006-11-10)
We present the linear-linear (LL) basis functions to improve the accuracy of the magnetic-field integral equation (MFIE) and the combined-field integral equation (CFIE) for three-dimensional electromagnetic scattering problems involving large scatterers. MFIE and CFIE with the conventional Rao-Wilton-Glisson (RWG) basis functions are significantly inaccurate even for large and smooth geometries, such as a sphere, compared to the solutions by the electric-field integral equation (EFIE). By using the LL funct...
YAVUZ, H; BUYUKDURA, OM (1994-04-14)
A rigorous integral equation formulation for the analysis of a phased array of flangemounted waveguide apertures is given for a finite number of elements and nonuniform spacings. The resulting set of ihtegrd equations is reduced to a matrix equation called the coupling matrix which relates the coefficients of all the modes in all the waveguides to one another. The solution then yields the dominant mode reflection coefficient, coefficients of scattered modes and hence the field in each waveguide. The blockTo...
Combined-field solution of composite geometries involving open and closed conducting surfaces
Ergül, Özgür Salih (2005-04-07)
Combined-field integral equation (CFIE) is modified and generalized to formulate the electromagnetic problems of composite geometries involving both open and closed conducting surfaces. These problems are customarily formulated with the electric-field integral equation (EFIE) due to the presence of the open surfaces. With the new definition and application of the CFIE, iterative solutions of these problems are now achieved with significantly improved efficiency compared to the EFIE solution, without sacrifi...
Citation Formats
Ö. S. Ergül, “Improving the accuracy of the MFIE with the choice of basis functions,” 2004, Accessed: 00, 2020. [Online]. Available: