Download This PaperLight-Matter Interaction and Hybrid Vector Breather
9 Pages Posted: 1 May 2020
Date Written: April 30, 2020
Abstract
The nonlinear coherent interaction of light with the dispersive and Kerr-type third-order susceptibility medium containing optical impurity atoms or semiconductor quantum dots is considered. Using the generalized perturbation reduction method, the nonlinear wave equation is reduced to the coupled nonlinear Schrodinger equations. It is shown that the second-order derivatives play a key role in the description of the process of formation of the bound state of two breathers oscillating with the sum and the difference of frequencies and wave numbers. The resonant, non-resonant and hybrid mechanisms of the formation of the two-component nonlinear pulse - the vector breather are realized depending on the light and medium parameters. Explicit analytical expressions for the profile and parameters of the nonlinear pulse are presented. The conditions of the excitation of resonant, non-resonant and hybrid nonlinear waves are discussed. In the particular case, the resonant vector breather coincides with the vector 0π pulse of self-induced transparency.
Keywords: Generalized Perturbation Reduction Method, Vector 0π Pulse, Coupled Nls Equation, Vector Breather, Self-Induced Transparency
JEL Classification: C02
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