Том 64, № 7 (2019)

This review is devoted to the main results of the FRACTALCOMS international research program in the field of fractal electrodynamics and designing modern ultra-wideband or multiband fractal antennas and other basic electrodynamic structures for breakthrough information and communication technologies. Promising directions of further research are presented. The main results obtained by the author in research institutes of Russia and China in the fields of radio electronics and radio physics on the basis of the theory of fractals and scaling effects are outlined.

Simple formulas are obtained for calculating the scattering matrix of a plane electromagnetic wave incident normally on an infinite 2D lattice formed by square strip conductors and located at the interface of two dielectric media. For the first time, the vortex behavior of the electric field of the lattice was taken into account, which made it possible to repeatedly reduce the computation error at high frequencies. This is confirmed by the close agreement of the amplitude-frequency responses of the structure calculated by the formulas with the characteristics obtained by the numerical electrodynamic analysis of the 3D model when the lattice period is less than half the wavelength.

Properties and statistical (time and frequency) characteristics of the cosGBOC signals for new generations of satellite radio navigation systems (in particular, GPS (USA), Galileo (EU), and BeiDou (China)) are considered. Analytical expressions for correlation functions (CFs) of single elements of modulating function (MF) of the cosGBOC signals are derived for typical pulse multiplicities of \({{N}_{{\text{p}}}}\) = 2 and 4 and different values of duty cycle ρ (ρ ∈ [0, 1]). It is shown that general formulas are valid for important particular cases in which ρ = 0.5 (meander-type noise-like signals (cosBOC signals)) and ρ = 0 or 1 (binary phase-shift keying (BPSK) signals). Direct Fourier transform of the CF is used to calculate energy spectra (power spectral densities) of single elements of MF of the cosGBOC signals for \({{N}_{{\text{p}}}}\) = 2 and 4.

The results of the experimental exposure of an RC oscillator with a film element based on vanadium dioxide to a harmonic signal and noise are presented. The effect of stochastic synchronization with a resonance signal-to-noise ratio, which is estimated using a new purposefully developed technique, is observed in the self-oscillation regime. It is demonstrated that this technique is suitable for the study of the spectral parameters of oscillatory circuits with stochastic dynamics.