Abstract

A problem of electromagnetic wave scattering by a periodic parallel-plate waveguide array is studied in the paper. The scattered field above the waveguides is sought in the form of a series of spatial harmonics in accordance with the Floquet's theorem, whereas in the waveguide regions it is sought in the form of parallel plate waveguide modes. A Fourier expansion for spatial harmonics amplitudes with coefficients in the form of properly chosen Legendre functions is used to satisfy the boundary and edge conditions by field components in free space above the array. Some numerical results are given.

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