Resonance enhancement of Faraday rotation in double-periodic gyromagnetic layers analyzed by the method of integral functionals

Abstract

Extraordinary enhancement of the Faraday rotation (over 1000 times) for a perfect electric conductor (PEC)-like layer with square-shaped apertures filled with yttrium iron garnet (YIG) and its smaller enhancement (17 times) for a YIG layer perforated with square-shaped air apertures are revealed at the grating-mode resonance frequencies. At the same time, the periodic perforation of a PEC-like layer with C-shaped apertures filled with YIG does not influence the Faraday effect. For our theoretical study, we develop the full-wave solution for the three-dimensional (3D) problem of the plane wave scattering from a double-periodic gyromagnetic layer obtained by the method of integral functionals. The method is based on the 3D volume integral equations for the electric and magnetic polarization currents on the periodic layer.