Mathematical Modeling of Diffraction and Parametric Instability Thresholds for Magnetic Nanostructures Based on Magnetically Functionalized Carbon Nanotube Arrays

Using a developed computational algorithm based on multilevel recomposition of autonomous blocks with Floquet channels, mathematical modeling of diffraction of the fundamental mode has been carried out on a magnetic nanostructure based on a 3D array of magnetically functionalized carbon nanotubes (MFCNTs) in a waveguide depending on the bias field under the ferromagnetic resonance conditions in the millimeter wavelength range. Using the developed special computational algorithm for determining bifurcation points of the nonlinear Maxwell operator (Maxwell’s equations together with the Landau‒Lifshitz equation), the thresholds of parametric excitation of the non-exchange magnetostatic waves and dipole-exchange spin waves in a periodic 2D array of MFCNTs have been calculated depending on values of the bifurcation parameters (pump wave amplitude and frequency).