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Application of the SN‐preconditioning method to the integral equations for a slot‐array antenna
Author(s) -
Zhang Yu,
Xie Yongjun,
Liang Changhong
Publication year - 2003
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.10901
Subject(s) - preconditioner , conjugate gradient method , integral equation , slot antenna , convergence (economics) , iterative method , antenna (radio) , microwave , mathematics , matrix (chemical analysis) , function (biology) , antenna array , mathematical analysis , computer science , microstrip antenna , algorithm , telecommunications , materials science , evolutionary biology , economics , composite material , biology , economic growth
In this paper, a novel preconditioner scheme slot neighbour ( SN ) preconditioner is applied to dense matrix equations derived from integral equations for a slot‐array antenna in order to improve the convergence of iterative integral‐equation solvers, such as the conjugate‐gradient ( CG ) method. The preconditioner accounts for expansion‐function–testing‐function interactions in the vicinity of a given slot, requiring an order of N s × N b complexity for each N s slot and each slot with N b expansion unknowns. A typical slot‐array antenna is analyzed and good results demonstrate the validity of the proposed algorithms. © 2003 Wiley Periodicals, Inc. Microwave Opt Technol Lett 37: 302–305, 2003; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.10901