A Singularity Cancelation Transformation for Entire-Domain Analysis of 2-D Structures With High-Precision Integration
| Autor: | Antonije R. Djordjevic, Branko M. Kolundzija, Jovana G. Perovic, Dragan I. Olcan |
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| Rok vydání: | 2019 |
| Předmět: |
Curvilinear coordinates
Chebyshev polynomials Mathematical analysis 020206 networking & telecommunications Basis function 02 engineering and technology Integral equation Quadrature (mathematics) Singularity 0202 electrical engineering electronic engineering information engineering Domain analysis Electrical and Electronic Engineering Legendre polynomials Mathematics |
| Zdroj: | IEEE Transactions on Antennas and Propagation. 67:2522-2533 |
| ISSN: | 1558-2221 0018-926X |
| Popis: | An approach to singularity cancelation by a variable transformation of Green’s function in 2-D case, having log( $R$ ) singularity, is outlined. It is intended for the method of moments analysis of 2-D structures of both curvilinear and flat cross sections. If the transformation is used with Legendre or Chebyshev polynomials as entire-domain basis functions, all involved integrals can be calculated with high precision using Gauss–Legendre quadrature. The optimal parameter of the transformation, having the minimal number of integration samples needed to reach 14-digit precision, is provided. Error estimations are presented for calculated current distributions on strips up to 400 wavelengths wide, analyzed with up to 1500 entire-domain basis functions. |
| Databáze: | OpenAIRE |
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