Abstract

An infinite set of simultaneous equations of the Wiener-Hopf type with the kernel which is a Toeplitz matrix ∥ K m - n (ζ)∥ and their application of diffraction problems in electromagnetic theory are discussed. Owing to the special form of the kernel, it can be shown that the Fourier series expansion method transforms the infinite system into a single equation of the Wiener-Hopf type, so the standard Wiener-Hopf procedure can be applied. On the basis of this result, a treatment is made of the radiation of electromagnetic waves of TE type from an infinite set of staggered, equally spaced, semi-infinite plates.

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