Tangential-Normal Surface Testing for the Nonconforming Discretization of the Electric-Field Integral Equation

Nonconforming implementations of the electric-field integral equation (EFIE), based on the facet-oriented monopolar-RWG set, impose no continuity constraints in the expansion of the current between adjacent facets. These schemes become more versatile than the traditional edge-oriented schemes, based...

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Bibliographic Details
Published in:IEEE antennas and wireless propagation letters 2016-01, Vol.15, p.1581-1584
Main Authors: Ubeda, E., Sekulic, I., Rius, Juan M., Heldring, A.
Format: Article
Language:English
Subjects:
Basis functions
Camps elèctrics
Conductors
Electric breakdown
electric field integral equation (EFIE)
Electric fields
Electromagnetisme
Equacions diferencials i integrals
Equacions integrals
Física
Impedance
Integral equations
Matemàtiques i estadística
Method of moments
Moment method
Surface impedance
Testing
Àrees temàtiques de la UPC
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Summary:Nonconforming implementations of the electric-field integral equation (EFIE), based on the facet-oriented monopolar-RWG set, impose no continuity constraints in the expansion of the current between adjacent facets. These schemes become more versatile than the traditional edge-oriented schemes, based on the RWG set, because they simplify the management of junctions in composite objects and allow the analysis of nonconformal triangulations. Moreover, for closed moderately small conductors with edges and corners, they show improved accuracy with respect to the conventional RWG-discretization. However, they lead to elaborate numerical schemes because the fields are tested inside the body, near the boundary surface, over volumetric subdomains attached to the surface meshing. In this letter, we present a new nonconforming discretization of the EFIE that results from testing with RWG functions over pairs of triangles such that one triangle matches one facet of the surface triangulation and the other one is oriented perpendicularly, inside the body. This "tangential-normal" testing scheme, based on surface integrals, simplifies considerably the matrix generation when compared to the volumetrically tested approaches.
ISSN:1536-1225
1548-5757
DOI:10.1109/LAWP.2016.2517411