Application of the SN-preconditioning method to the integral equations for a slot-array antenna

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-5 X 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. (C) 2003 Wiley Periodicals, Inc.