Browsing by Subject "Magnetic-field integral equation (MFIE)"

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    Improved testing of the magnetic-field integral equation
    (Institute of Electrical and Electronics Engineers, 2005) Ergül, Özgür; Gürel, Levent
    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 obtain accurate results, but to manifest the implicit solid-angle dependence of the MFIE as well.
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    ItemOpen Access
    The use of curl-conforming basis functions for the magnetic-field integral equation
    (Institute of Electrical and Electronics Engineers, 2006) Ergül, Özgür; Gürel, Levent
    Divergence-conforming Rao-Wilton-Glisson (RWG) functions are commonly used in integral-equation formulations to model the surface current distributions on planar triangulations. In this paper, a novel implementation of the magnetic-field integral equation (MFIE) employing the curl-conforming n̂ × RWG basis and testing functions is introduced for improved current modelling. Implementation details are outlined in the contexts of the method of moments, the fast multipole method, and the multilevel fast multipole algorithm. Based on the examples of electromagnetic modelling of conducting scatterers, it is demonstrated that significant improvement in the accuracy of the MFIE can be obtained by using the curl-conforming n̂ × RWG functions.