Abstract

Abstract

The study of the dynamics of the nonlinear propagation of femtosecond solitonicpulses ina homogeneous and non-homogeneous medium is the subject of this thesis. First, we devotedourselves to the study of the propagative properties of a new family of solitary pulses called\\\\\\\"deformed solitons\\\\\\\" in a homogeneous non-Kerr medium. Their propagation dynamics in thistype of medium are modeled by the nonlinear higher-order Schrödinger equation with constantcoefficients, incorporating high-order terms of nonlinearity and dispersion. The results revealedtwo types of solitonic solutions obtained in the presence of the deformation factor \\\\\\\"q\\\\\\\". Thefactor allowed the solitons to deviate from their standard profiles, despite the strong stabilityshown during their propagation. This part of the work has been the subject of an internationalpublication in a recognized journal: Optik(ELSEVIER).
The second part of this thesis is devoted to the study of the nonlinear propagation dynamicsof femtosecond solitons in inhomogeneous optical metamaterial media. In these media, theevolution of the pulses can be governed by the nonlinear higher-order Schrödinger equation withvariable coefficients, including terms of quadratic-cubic nonlinearity. The adopted trial equationmethod allowed us to obtain three types of solitonic solutions: bright soliton,W-shaped soliton,and Kink-type soliton. Using numerical simulation, the impact of the inhomogeneity of thepropagation medium on the dynamic behavior of the pulses has been widely studied.
Keywords: Nonlinear Schrödinger equation, q-deformed soliton, cubic-quintic terms, inhomogeneousmetamaterials, quadratic-cubic nonlinearity, modulational instability.

Information

Item Type:	Thesis
Divisions:	» Laboratory of Physics for Matter and Radiation » Faculty of Science and Technology
ePrint ID:	4351
Date Deposited:	2023-07-31
Further Information:	Google Scholar
URI:	https://www.univ-soukahras.dz/en/publication/article/4351

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