Derivation of radial-angular singularity cancellation transformations by the variable separation method

Li Li, Kun Wang, Thomas F. Eibert

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The variable separation method is utilized to derive a family of radial-angular-Rn transformation schemes for singularity cancellation. The variables, the angle and the radius in polar coordinates derived from the Cartesian coordinates, are utilized by the variable separation method. General solutions to the differential equations derived from the variable separation method are proposed. A new family of radial-angular-R1, -R2 and -R3 transformation schemes is designed for the singularity cancellation technique. The proposed transformation schemes are applicable to all types of singular kernels in the Method of Moments (MoM) as found in electromagnetic surface integral equations.

Original languageEnglish
Title of host publicationProceedings of the 2015 International Conference on Electromagnetics in Advanced Applications, ICEAA 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages919-921
Number of pages3
ISBN (Electronic)9781479978069
DOIs
StatePublished - 12 Oct 2015
Event17th International Conference on Electromagnetics in Advanced Applications, ICEAA 2015 - Torino, Italy
Duration: 7 Sep 201511 Sep 2015

Publication series

NameProceedings of the 2015 International Conference on Electromagnetics in Advanced Applications, ICEAA 2015

Conference

Conference17th International Conference on Electromagnetics in Advanced Applications, ICEAA 2015
Country/TerritoryItaly
CityTorino
Period7/09/1511/09/15

Keywords

  • Antennas
  • Differential equations
  • Integral equations
  • Jacobian matrices
  • Kernel
  • Method of moments
  • Mutual coupling

Fingerprint

Dive into the research topics of 'Derivation of radial-angular singularity cancellation transformations by the variable separation method'. Together they form a unique fingerprint.

Cite this