Aw. Mathis et Af. Peterson, EFFICIENT ELECTROMAGNETIC ANALYSIS OF A DOUBLY INFINITE ARRAY OF RECTANGULAR APERTURES, IEEE transactions on microwave theory and techniques, 46(1), 1998, pp. 46-54
An accurate and rapid method is presented for solving the magnetic fie
ld integral equation for the equivalent magnetic currents representing
a doubly periodic array of rectangular apertures, Ewald's method is u
sed to accelerate the summations associated with periodic Green's func
tion, allowing the Green's function to be determined to nearly machine
precision, Galerkin's method is used to discretize the integral equat
ion with Chebyshev polynomials used as the basis and testing functions
. Efficient treatment of the ''self-term'' singularity is emphasized.