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A Singularity Cancelation Transformation for Entire-Domain Analysis of 2-D Structures With High-Precision Integration
- Source :
- IEEE Transactions on Antennas and Propagation. 67:2522-2533
- Publication Year :
- 2019
- Publisher :
- Institute of Electrical and Electronics Engineers (IEEE), 2019.
-
Abstract
- 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.
- Subjects :
- 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
Subjects
Details
- ISSN :
- 15582221 and 0018926X
- Volume :
- 67
- Database :
- OpenAIRE
- Journal :
- IEEE Transactions on Antennas and Propagation
- Accession number :
- edsair.doi...........7ef9387370cc460fbd2a26d7554350cd