Electrodynamic calculation of the s-parameters of the scattering matrix of a 3D magnetic nanostructure in a waveguide

The authors have carried out mathematical modeling of $H_{10}$ wave diffraction on the 3D-magnetic nanostructure in a waveguide using the algorithm of multilevel recomposition on autonomous blocks with Floquet channels. The transmission coefficients for $H_{10}$ type wave have been calculated at $26$ GHz and $30$ GHz, depending on the transverse bias magnetic field $H_{0}$, for several values of the magnetic nanoparticles filling factor at voids in the opal structure. The developed numerical technique displays an excellent match with recent experimental data.