Elements, devices, and methods for fractal communication technology, electronics, and nanotechnology

The numerous results obtained in radio physics using fractal theory, fractional dimension, and fractional operators have been briefly classified taking into account the scaling effects of real radio signals and electromagnetic fields. A universal modeling environment based on a multilayer virtual generalized distributed RLCG element and the method of generalized finite distributed elements for analysis and synthesis of models of fractional objects and processes that possess fractional power dependence of the input impedance on frequency have been proposed. Examples of synthesis of one- and two-dimensional models are given. It is shown that nonlinear, parametrical, and other properties of modeled objects can be taken into consideration by means of the vectors of electrophysical parameters of layers and design factors.