High-Order Nyström Implementation of an Augmented Electric Field Integral Equation

Author

Young, John C. ; Xu, Yuan ; Adams, Robert J. ; Gedney, Stephen D.

Author_Institution

Dept. of Electr. & Comput. Eng., Univ. of Kentucky, Lexington, KY, USA

Volume

11

fYear

2012

fDate

7/4/1905 12:00:00 AM

Firstpage

846

Lastpage

849

Abstract

A higher-order, locally corrected Nyström discretization of an augmented electric field integral equation (EFIE) is developed and demonstrated for low-frequency applications. The augmented system is obtained by combining the EFIE with the current continuity equation. Due to the discontinuous nature of the higher-order Nyström discretization, it is necessary to introduce line charge degrees of freedom on all mesh edges. It is observed that the resulting linear system is stable as the frequency decreases, and it also provides high-order convergence for a canonical geometry.

Keywords

electric field integral equations; electromagnetic field theory; augmented electric field integral equation; canonical geometry; current continuity equation; discontinuous nature; high-order Nystrom implementation; high-order convergence; locally corrected Nystrom discretization; low-frequency applications; mesh edges; Band pass filters; Convergence; Electric fields; Equations; Integral equations; Mathematical model; Vectors; Augmented electric field integral equation (AEFIE); Nyström; low-frequency;

fLanguage

English

Journal_Title

Antennas and Wireless Propagation Letters, IEEE

Publisher

ieee

ISSN

1536-1225

Type

jour

DOI

10.1109/LAWP.2012.2208932

Filename

6241402