MATHEMATICAL MODELLING OF ELECTROMAGNETIC WAVE PROPAGATION IN ANISOTROPIC NANOSTRUCTURED MATERIALS ON THE BASIS OF 3D-LATTICES OF MAGNETIC NANOWIRES IN THE MICROWAVE RANGE

Golovanov Oleg Aleksandrovich, Doctor of physical and mathematical sciences, professor, head of sub-department of mathematics and descriptive geometry, branch of the Military research and educational center of the Land Forces “Combined Arms Academy of the Armed Forces of the Russian Federation”  (Penza-5, Russia), golovanovol@mail.ru
Makeeva Galina Stepanovna, Doctor of physical and mathematical sciences, professor, sub-department of radioengineering and radio electronic systems, Penza State University (40 Krasnaya street, Penza, Russia), radiotech@pnzgu.ru
Shirshikov Dmitriy Nikolaevich, Postgraduate student, branch of the military academy of logistics (Penza-5, Russia), shirshikov1981@mail.ru
Gorlov Gennadiy Gennad'evich, Postgraduate student, branch of the military academy of logistics (Penza-5, Russia), mitsubisi-gor82@mail.ru

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Background. Magnetic nanocomposites based on ferromagnetic nanowires having high saturation magnetization, low loss, higher performance and resonance frequency in comparison with the classical ferrites are of considerable interest to create magnetically controlled microwave devices. The aim of this paper is a theoretical study of the electrodynamic level of propagation strictness of electromagnetic waves and their interaction with anisotropic nanostructured materials based on 3D-lattices of ferromagnetic nanowires under magnetic resonance in the microwave range in terms of mathematical modeling.
Materials and methods. A mathematical model of the electromagnetic wave propagation in anisotropic nanostructured materials based on periodic 3D-lattices of oriented carbon nanotubes with magnetic nanoparticles, relying on the characteristic equation solution for the determination of wave propagation constants using the developed computational al-gorithm for calculating the conductivity matrix of autonomous blocks with Floquet channels is worked out.
Results. The results of the electrodynamic calculation of the real and imaginary parts of the complex indexes of longitudinal (right- and left-polarized) and transverse (ordinary and extraordinary) waves (of zero spatial har-monics) propagating in 3D-lattices of ferromagnetic nanowires (Fe and Co₈₀Ni₂₀ material) depending on the size and orientation of the constant magnetic field at frequencies f = 9,375 GHz and f = 26 GHz are obtained.
Conclusions. It is shown that the effective management of the frequency dispersion of electromagnetic waves propagating in anisotropic nanostructured materials based on 3D- lattices of ferro-magnetic nanowires can be carried out through an external magnetic field (while changing the direction and magnitude of the constant magnetic field intensity vector, the mutual orientation of the permanent and high-frequency magnetic fields , the vector orientation to the nanowire axis), and also through the change of the nanowire size and shape and geometry of the lattices under magnetic resonance in the micro-wave range.

magnetic nanocomposite, anisotropic nanostructured material, ferro-magnetic nanowires, the characteristic equation, self-contained units.

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