Abstract
This paper presents a spectral-domain formulation of two-dimensional electromagnetic scattering from a periodic array of circular cylinders, in which a finite number of cylinders are replaced by different ones. The present formulation is based on the recursive transition-matrix algorithm with the help of the lattice sums technique. The formulation uses also the pseudo-periodic Fourier transform that converts an arbitrary function into pseudo-periodic one, and the scattering problem from imperfectly periodic structure becomes able to be considered by the conventional grating theory.
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