Article

Management of solitons in medium with competing cubic and quadratic nonlinearities

F. Kh. AbdullaevPhysical-Technical Institute, Uzbek Academy of Sciences, 100084 Tashkent, UzbekistanJ.S. YuldashevPhysical-Technical Institute, Uzbek Academy of Sciences, 100084 Tashkent, UzbekistanMagnus ÖgrenHellenic Mediterranean University, P.O. Box 1939, GR-71004, Heraklion, Greece

Optikjournal2023en

ABI

Abstract

Management of solitons in media with competing quadratic and cubic nonlinearities is investigated. Two schemes, using rapid modulations of a mismatch parameter, and of the Kerr nonlinearity parameter are studied. For both cases, the averaged in time wave equations are derived. In the case of mismatch management, the region of the parameters where stabilization is possible is found. In the case of Kerr nonlinearity management, it is shown that the effective χ(2) nonlinearity depends on the intensity imbalance between fundamental (FH) and second (SH) harmonics. Predictions obtained from the averaged equations are confirmed by numerical simulations of the full PDE’s.

Topics

Advanced Fiber Laser Technologies Photorefractive and Nonlinear Optics Nonlinear Photonic Systems

Identifiers

DOI: 10.1016/j.ijleo.2023.170545

Citations and references

Cited by 1 20 references

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