ELECTRODYNAMIC THRESHOLD CALCULATION OF THE NONLINEAR ANISOTROPIC NANOSTRUCTURED MATERIALS BY POINTS BIFURCATION OF A NONLINEAR OPERATOR MAXWELL

537. 874. 6

The method of bifurcation analysis is developed and modeling of parametric interactions of different modes in nanocomposites based on the 3D arrays of magnetically functionalized carbon nanotubes (CNT): electromagnetic magnetostatic (MSWs) and spin waves (SWs) for calculation of the nonlinearity thresholds of these anisotropic nanostructured materials at microwave frequency range. Mathematical model of the parametric instability of waves in the 3D arrays of magnetically functionalized CNTs is based on the solution of the nonlinear 3D- diffraction boundary problems for the Maxwell equations complemented by the Landau-Lifshitz equation with the exchange term using the decomposition onto the autonomous blocks with Floquet channels (FABs). By computing the bifurcation points the results of electrodynamic calculation of the threshold magnitudes of the pumping wave, where the nonlinear processes and the parametric instability excitation of MSWs and SWs, happen in 3D arrays of magnetically functionalized CNTs, are determined at microwave frequency range.

bifurcation points, nonlinear Maxwell operator, pumping wave, 3D periodic array, agnetic nanoparticle, carbon nanotubes.