On a probabilistic approach to the research of the characteristics of microwave, sub–THz, THz, infrared and optical frequency ranges based on multilayer nanostructures of the “graphene – dielectric” type

One of the promising areas for the development of microwave, sub-THz, THz, infrared and optical frequency ranges is the creation of transmission lines, filters, parametric generators and amplifiers, and other devices based on graphene and CNTs. However, to date, physical phenomena and effects in graphene nanostructures are poorly studied, and the problem of their mathematical modeling does not have a unified approach. When developing a unified approach to mathematical modeling of filters based on multilayer graphene nanostructures, it is necessary to take into account the probabilistic nature values of the material parameters due to the use of a sufficiently large number of graphene sheets. In this work, based on the analysis of a probabilistic simulation model of a filter in the sub-THz / THz range, it is shown that such a filter has sufficient stability with respect to the spread of values of surface conductivity of graphene sheets included in the filter. Calculation parameters for parametric excitation of electromagnetic waves in the case of instability of the first and second order: ω0=nω2 / 2, where n=1, 2…for f0=14,15 THz; N=79; μс=0,2 eV; Ez0=0,5 V/nm. In the regions of instability, 79–layer nanostructure of "graphene-dielectric" type is parametric generator of electromagnetic waves.