Conference Paper

A loop-tree basis for metallic surfaces connected to wires

Antennas & EMC Lab., Politec. di Torino, Torino, Italy
DOI: 10.1109/APS.2009.5172025 Conference: Antennas and Propagation Society International Symposium, 2009. APSURSI '09. IEEE
Source: IEEE Xplore


This paper demonstrates an automatic, low-complexity scheme to extract the loop and tree bases from the mesh of complex wire-surface structures, either free-standing or connected to an infinite ground plane. The algorithm is based on graph theory, and is able to handle completely arbitrary wire-surface structures without a priori information on its topological complexity. The presented approach is directly applicable to existing codes that utilize the junction basis previously proposed. To check the performance of the proposed basis, a planar inverted-F antenna is analyzed, in order to demonstrate the numerical behavior of the proposed loop-tree basis.

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    ABSTRACT: The main issue addressed in the present paper is the proper handling of the different entities modeling surfaces (triangular facets), wires (line segments), and their interconnections (junctions), in order to construct MR bases that coherently include all three types of conventional basis functions. Application of the MR basis results in a basis change, algorithmically equivalent to a purely multiplicative algebraic preconditioner of the EFIE, that can be easily interfaced with pre-existing MoM codes.
    Antennas and Propagation Society International Symposium, 2009. APSURSI '09. IEEE; 07/2009

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