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Electromagnetic scattering by a periodic array of thick-walled parallel plate waveguides

Tasinkevych Y.

Journal of Technical Physics

2009

Vol. 50, no 1

41-53

Electromagnetic wave scattering by a periodic array of semi-infinite thick-walled parallel plate waveguides is studied in this paper. The cases of TE and TM polarization of an incident plane harmonic wave are considered separately. 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. To satisfy the boundary and edge conditions by field components in the free space above the array, the Fourier expansion for spatial harmonics amplitudes with corresponding coefficients, being properly chosen Legendre functions, is exploited. The unknown coefficients are the solutions of certain doubly infinite systems of linear equations. The approximate solution is found numerically.