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- Title
Bifurcation Analysis of the Thresholds of Parametric Generation of Terahertz Waves in Nonlinear Multilayer Graphene Nanostructures.
- Authors
Makeeva, G. S.
- Abstract
The purpose of this study is develop a method for mathematical simulation of nonlinear effects (parametric generation and parametric excitation of waves and instabilities) caused by the interaction between electromagnetic waves and highly nonlinear multilayer graphene nanostructures based on the solution of a nonlinear diffraction problem for Maxwell's equations with allowance for confining geometries. A numerical method has been developed for bifurcation analysis of nonlinear effects (parametric generation and parametric excitation of waves) arising in graphene nanostructures in the terahertz range. It consists of finding the bifurcation points of the nonlinear Maxwell operator using the developed computational algorithm, which was improved by a qualitative analysis method based on the Lyapunov stability theory. The developed computational algorithm has been applied to obtain results of the electrodynamic calculation of the terahertz wave generation thresholds and instability regions in a multilayer graphene nanostructure depending on the bifurcation parameters: pump wave amplitude and normalized frequency. It follows from the results of rigorous mathematical simulation that the terahertz wave generation thresholds depend on the chemical potential; therefore, characteristics of parametric terahertz generators based on multilayer graphene nanostructures can be tuned by an external bias electric field and controlled by the configuration and sizes of the nanostructures.
- Subjects
SUBMILLIMETER waves; NONLINEAR waves; MAXWELL equations; NANOSTRUCTURES; GRAPHENE; OPTICAL pumping; BIFURCATION theory
- Publication
Technical Physics Letters, 2023, Vol 49, Issue 6, p55
- ISSN
1063-7850
- Publication type
Article
- DOI
10.1134/S1063785023050012