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Accurate evaluation of singular potential integrals in an asymptotic‐phase method of moments formulation
Author(s) -
Araújo M. G.,
Taboada J. M.,
Rodríguez J. L.,
Obelleiro F.
Publication year - 2007
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.22680
Subject(s) - method of moments (probability theory) , gravitational singularity , basis function , polygon mesh , singularity , mathematics , phase (matter) , basis (linear algebra) , representation (politics) , mathematical analysis , function (biology) , topology (electrical circuits) , geometry , physics , combinatorics , statistics , quantum mechanics , estimator , evolutionary biology , politics , political science , law , biology
Abstract The Khayat‐Wilton singularity cancellation technique has been adapted for computing the potential integrals involving the 3D Green's function and the linearly‐phased Rao‐Wilton‐Glisson (LP‐RWG) basis functions. The LP‐RWG basis functions are used to expand the induced currents in terms of current‐modes, which allows an efficient representation of the currents in large scatters using a fewer number of unknowns. The proposed procedure overcomes some drawbacks of other singularity schemes, such as the dependence of the triangular‐patch shape and the location of the observation points. In this sense, the proposed procedure is valid for singularities and “near” singularities on arbitrarily‐shaped triangular meshes. This significantly improves the reliability of the method of moments and related approaches in combination with the asymptotic phase formulation when dealing with arbitrary and automatically generated surface meshes. © 2007 Wiley Periodicals, Inc. Microwave Opt Technol Lett 49: 2189–2197, 2007; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.22680