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Accurate formulation of electromagnetic scattering from dielectric slab including periodic circular cylinder array with a heterogeneous cylinder

This paper considers the two-dimensional electromagnetic scattering problem of a dielectric slab including a periodic circular cylinder array, in which one cylinder is replaced by a different cylinder, and presents a spectral-domain formulation. The formulation is based on the recursive transition-matrix algorithm and the pseudo-periodic Fourier transform, and the wavenumber sampling is introduced in the Brillouin zone.