研究目的

Investigating the wave processes in moderately and strongly nonlinear and active hyperbolic metamaterials, including the development of theory, the creation of physical and mathematical models and modeling, for the development of methodological and technological foundations for creating more efficient solar panels and highly sensitive sensors; solving some problems of electromagnetic compatibility of equipment, creation of systems of broadband communications and information processing with controlled parameters.

研究成果

The new evolution equations for the envelope amplitude of the nonlinear wave packets propagating in active hyperbolic media under an arbitrary angle to the optical axis are derived in the parabolic approximation. The evolution equations correspond to the laboratory system of the coordinate and the system with the axis Z’ directed along the group velocity, respectively. The mixed derivative in the evolution equation disappears and the equations reduce to the NSE form for the case of the wave propagation along an optical axis. The nonlinear quantum optics approach to the nonlinear waves in hyperbolic metamaterials with active quantum inclusions is outlined. Numerical solution is demonstrated for the strongly nonlinear stationary wave propagation and hot spot formation.

研究不足

The study focuses on the theoretical and modeling aspects of wave processes in hyperbolic metamaterials, with potential limitations in practical application and experimental validation.