DocumentCode :
152265
Title :
Nyström discretization of an augmented electric field integral equation with magnetic field constraint
Author :
Jin Cheng ; Adams, Robert J. ; Young, John C.
Author_Institution :
Electr. & Comput. Eng., Univ. of Kentucky Lexington, Lexington, KY, USA
fYear :
2014
fDate :
6-11 July 2014
Firstpage :
186
Lastpage :
186
Abstract :
The locally corrected Nyström (LCN) discretization of an augmented electric field integral equation (AEFIE) can partially overcome the low frequency breakdown problem inherent in the conventional electric field integral equation (EFIE). The LCN AEFIE is frequency stable and provides accurate and high-order solutions for the electric field. However, the magnetic field computed using the AEFIE at low frequencies is incorrect. A similar situation was recently encountered in developing a new EFIE-based formulation that relies on a globally constrained Helmholtz decomposition (HD) (EFIE-hd) of the current. In the latter case, it was found that introducing an additional constraint on the normal component of the magnetic field was sufficient to obtain accurate H-fields at all frequencies. This presentation will demonstrate that a similar strategy can be used with an AEFIE-type formulation to obtain accurate solutions for the electric current and the magnetic field while also improving the conditioning of the formulation.
Keywords :
Helmholtz equations; electric field integral equations; magnetic fields; AEFIE; EFIE-based formulation; EFIE-hd; H-fields; LCN discretization; augmented electric field integral equation; electric current; globally constrained Helmholtz decomposition; locally corrected Nyström discretization; low frequency breakdown problem; magnetic field; Computers; Educational institutions; Electric breakdown; Electric fields; Equations; Integral equations; Magnetic fields;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Radio Science Meeting (Joint with AP-S Symposium), 2014 USNC-URSI
Conference_Location :
Memphis, TN
Type :
conf
DOI :
10.1109/USNC-URSI.2014.6955568
Filename :
6955568
Link To Document :
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