Electrodynamic calculation of microwave transmission coefficients of mode $H_{10}$ through slab of nanostructured material based on the 3D-array of ferromagnetic nanowires

Background. Magnetic nanocomposites based on ferromagnetic nanowires are promising for implemention in magnetically controlled microwave devices: circulators, valves, phase shifters, filters, attenuators, absorbers and microwave antennas. The aim of the study is to construct a mathematical model of waveguide mode diffraction on the samples of magnetic 3D-nanocomposites with ferromagnetic nanowires, taking into account exchange and boundary conditions; to develop computational algorithms that calculate the S-parameter of a scattering matrix for magnetic 3D-nanostructures in waveguides. Materials and methods. The 3D-boundary problem of electromagnetic wave diffraction on the samples of magnetic nanocomposite based on 3D-lattice of oriented magnetic nanowires in a rectangular waveguide is solved by the method of autonomous units with Floquet channels (FAB). The scattering heterogeneity matrixes are the plates of 3D-magnetic nanocomposite based on a periodic 3D-lattice of oriented magnetic nanowires in a rectangular waveguide, that are defined as a result of the multi-level recomposition of FAB using the developed computational algorithm of calculating the conductivity matrix of FAB. Results. The obtained the results of the electrodynamic calculation of the transmission indexes of the wave H$_{10}$ passage through the anisotropic nanostructured material plate based on a 3D-lattice of ferromagnetic nanowires (material Co$_{80}$N$_{i2}$0) in a rectangular metal waveguide, depending on the magnitude and direction of the external static magnetic field at the frequency f=26 GHz with changing the lattice period. Conclusions. The results of numerical simulation show that the position and the minimum value of the transmission index (maximum reflection index) are controlled by changing the magnitude and direction of the external static magnetic field and depend on the geometry and the ratio of the magnetic nanolattice sizes (nanowire diameter and the lattice period).