Browsing by Subject "Magnetic-field integral equation"

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    Linear-linear basis functions for MLFMA solutions of magnetic-field and combined-field integral equations
    (Institute of Electrical and Electronics Engineers, 2007) Ergul, O.; Gurel, L.
    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 closed conductors. We consider the solutions of relatively large scattering problems by employing the multilevel fast multipole algorithm. Accuracy problems of MFIE and CFIE arising from their implementations with the conventional Rao-Wilton-Glisson (RWG) basis functions can be mitigated by using the LL functions for discretization. This is achieved without increasing the computational requirements and with only minor modifications in the existing codes based on the RWG functions.
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    ItemOpen Access
    On the accuracy of MFIE and CFIE in the solution of large electromagnetic scattering problems
    (ESA Publications, 2006) Ergül, Özgür; Gürel, Levent
    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 functions, the accuracy of MFIE and CFIE can be improved to the levels of EFIE without increasing the computational requirements and with only minor modifications in the existing codes based on the RWG functions.
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    Singularity of the magnetic-field integral equation and its extraction
    (Institute of Electrical and Electronics Engineers, 2005) Gürel, Levent; Ergül, Özgür
    In the solution of the magnetic-field integral equation (MFIE) by the method of moments (MOM) on planar triangula-tions, singularities arise both in the inner integrals on the basis functions and also in the outer integrals on the testing functions. A singularity-extraction method is introduced for the efficient and accurate computation of the outer integrals, similar to the way inner-integral singularities are handled. In addition, various formulations of the MFIE and the electric-field integral equation are compared, along with their associated restrictions.