Mathematical Modeling of Wave Propagation in 3D Gratings of Ferromagnetic Nanoparticles and Electrodynamic Calculation of Their Effective Electromagnetic Parameters

Abstract An electrodynamic analysis of the propagation of longitudinal and transverse waves in a periodic 3D grating of ferromagnetic nanoparticles is carried out on the basis of the solution of the characteristic equation, which includes the cells of the scattering matrix of an autonomous block with magnetic nanoinclusions and Floquet channels as a model of the grating cell. On the basis of the solution of a quasi-compatible system of equations obtained by substituting the calculated values of the wave numbers of longitudinal and transverse waves into the dispersion relations, the results of calculating the effective electromagnetic parameters of a 3D grating of ferromagnetic nanoparticles are obtained.