Diffraction of Plane Waves by Multielements Grating of the Circular Cylinders

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  • Jandieri Vakhtang
    Department of Computer Science and Communication Engineering Kyushu University
  • Yasumoto Kiyotoshi
    Department of Computer Science and Communication Engineering Kyushu University

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Diffraction of electromagnetic plane waves by the multielements periodic grating consisting of dielectric coaxial cylinders with different radii and location per unit cell is analyzed. Using the additional theorem for the cylindrical functions and the projection method, an infinite system of linear equations for the unknown coefficients of the multipole spectra is obtained. This system of equations is solved by the reduction method, and the analytical expressions for both transmission and reflection coefficients are derived by using the relationship between the diffracted spectra and the multipole spectra. The numerical examples for the two-elements grating demonstrate the effects of the internal multiple scatterings within a unit cell on the frequency response in the transmission coefficient.

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