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Fast integral methods for conformai antenna and array modeling in conjunction with hybrid finite element formulations
Author(s) -
Volakis John L.,
Eibert Thomas F.,
Sertel Kubilay
Publication year - 2000
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/1999rs900050
Subject(s) - finite element method , conformal map , solver , matrix (chemical analysis) , planar , mathematics , method of moments (probability theory) , integral equation , geometry , mathematical analysis , topology (electrical circuits) , computer science , mathematical optimization , physics , statistics , materials science , computer graphics (images) , combinatorics , estimator , composite material , thermodynamics
Fast integral methods are used to improve the efficiency of hybrid finite element formulations for conformal antenna and array modeling. We consider here cavity‐backed configurations recessed in planar and curved ground planes as well as infinite periodic structures with boundary integral (BI) terminations on the top and bottom bounding surfaces. Volume tessellation is based on triangular prismatic elements which are well suited for layered structures and still give the required modeling flexibility for irregular antenna and array elements. For planar BI terminations of finite and infinite arrays the adaptive integral method is used to achieve O ( N log N ) computational complexity in evaluating the matrix‐vector products within the iterative solver. In the case of curved mesh truncations for finite arrays the fast multipole method is applied to obtain O (N 1.5 ) complexity for the evaluation of the matrix‐vector products. Advantages and disadvantages of these methods as they relate to different applications are discussed, and numerical results are provided.