Premium
Numerical study of singularity extraction in MoM integrals for scattering from bodies of revolution
Author(s) -
Resende Úrsula C.,
Moreira Fernando J. S.,
PereiraFilho Odilon M. C.
Publication year - 2012
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.27160
Subject(s) - generatrix , singularity , gravitational singularity , scattering , gaussian quadrature , integral equation , method of moments (probability theory) , mathematical analysis , gaussian , numerical analysis , quadrature (astronomy) , mathematics , nyström method , physics , geometry , optics , quantum mechanics , statistics , estimator
The analysis of electromagnetic scattering by the method of moments (MoM) leads to integral equations with singularities in their kernels. In this work, a numerical study of a particular technique for the extraction of those singularities arising in the analysis of the scattering from conducting and dielectric bodies of revolution (BOR), particularly spheres and cylinders is conducted. It is demonstrated that when the singularity extraction is applied, the numerical solution converges for a two‐point Gaussian quadrature. It is also shown that the MoM matrix condition number is affected by the number of segments used to describe the BOR generatrix and this influence depends on the behavior of the surface current distribution. © 2012 Wiley Periodicals, Inc. Microwave Opt Technol Lett 54:2543–2548, 2012; View this article online at wileyonlinelibrary.com. DOI 10.1002/mop.27160