Improving the accuracy of the magnetic field integral equation with the linear-linear basis functions

[ 1] Basis functions with linear variations are investigated in terms of the accuracy of the magnetic field integral equation (MFIE) and the combined-field integral equation (CFIE), on the basis of recent reports indicating the inaccuracy of the MFIE. Electromagnetic scattering problems involving conducting targets with arbitrary geometries, closed surfaces, and planar triangulations are considered. Specifically, two functions with linear variations along the triangulation edges in both tangential and normal directions ( linear normal and linear tangential (LN-LT) type) are defined. They are compared to the previously employed divergence-conforming Rao-Wilton-Glisson (RWG) and curl-conforming (n) over cap x RWG functions. Examples are presented to demonstrate the significant improvement in the accuracy of the MFIE and the CFIE gained by replacing the commonly used RWG functions with the LN-LT type functions.


ALTINTAS, A; BUYUKDURA, OM; PATHAK, PH (American Geophysical Union (AGU), 1994-11-01)
A correction to the Kirchhoff-Huygens approximation in the format of a diffraction coefficient is derived for an aperture terminated by a half plane. As in the physical theory of diffraction (PTD), this is achieved by considering the end point contribution to the aperture integral. It is seen that when the aperture is taken as conformal with the surface of the half plane, the conventional PTD result is obtained.
Improved testing of the magnetic-field integral equation
Ergül, Özgür Salih (Institute of Electrical and Electronics Engineers (IEEE), 2005-10-01)
An improved implementation of the magnetic-field integral equation (MFIE) is presented in order to eliminate some of the restrictions on the testing integral due to the singularities. Galerkin solution of the MFIE by the method of moments employing piecewise linear Rao-Wilton-Glisson basis and testing functions on planar triangulations of arbitrary surfaces is considered. In addition to demonstrating the ability to sample the testing integrals on the singular edges, a key integral is rederived not only to o...
Uniform and nonuniform V-shaped planar arrays for 2-D direction-of-arrival estimation
Filik, T.; Tuncer, Temel Engin (American Geophysical Union (AGU), 2009-09-22)
In this paper, isotropic and directional uniform and nonuniform V-shaped arrays are considered for azimuth and elevation direction-of-arrival (DOA) angle estimation simultaneously. It is shown that the uniform isotropic V-shaped arrays (UI V arrays) have no angle coupling between the azimuth and elevation DOA. The design of the UI V arrays is investigated, and closed form expressions are presented for the parameters of the UI V arrays and nonuniform V arrays. These expressions allow one to find the isotropi...
A fast and automatically paired 2-D direction-of-arrival estimation with and without estimating the mutual coupling coefficients
Filik, Tansu; Tuncer, Temel Engin (American Geophysical Union (AGU), 2010-06-26)
A new technique is proposed for the solution of pairing problem which is observed when fast algorithms are used for two-dimensional (2-D) direction-of-arrival (DOA) estimation. Proposed method is integrated with array interpolation for efficient use of antenna elements. Two virtual arrays are generated which are positioned accordingly with respect to the real array. ESPRIT algorithm is used by employing both the real and virtual arrays. The eigenvalues of the rotational transformation matrix have the angle ...
Ergül, Özgür Salih (Informa UK Limited, 2010-01-01)
We consider the solution of electromagnetics problems involving perfectly conducting objects formulated with the electric-field integral equation (EFIE). Dense matrix equations obtained from the discretization of EFIE are solved iteratively by the generalized minimal residual (GMRES) algorithm accelerated with a parallel multilevel fast multipole algorithm. We show that the number of iterations is halved by transforming the original matrix equations into normal equations. This way, memory required for the G...
Citation Formats
Ö. S. Ergül, “Improving the accuracy of the magnetic field integral equation with the linear-linear basis functions,” RADIO SCIENCE, pp. 0–0, 2006, Accessed: 00, 2020. [Online]. Available: