The method of autonomous blocks with magnetic nanoinclusions and floquet channels applied for simulation of magnetic nanostructures with allowance for the exchange and boundary conditions

A decomposition method is developed for simulation of microwave- and infrared-band devices containing magnetic nanomaterials and magnetophotonic crystals. The method is based on autonomous blocks that are rectangular parallelepipeds with magnetic nanoinclusions and virtual Floquet channels (referred below as magnetic Floquet autonomous blocks (MFABs)) on the faces. A computational algorithm of solution of a nonlinear diffraction boundary value problem by means of the Galerkin method is developed for constructing MFAB descriptors. The coefficient of TEM wave transmission through a lattice of ferrite nanospheres is calculated. The threshold values of the pumping-wave amplitude such that exchange spin waves are parametrically excited in ferrite-nanosphere lattices are determined from bifurcation points of the nonlinear Maxwell operator. This excitation is observed when distances between magnetic nanoparticles are reduced to the exchange-interaction length.