Abstract:

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A theoretical approach is important for an understanding of the nonlinear effects in optical media. It is important for practicability and system design to study optical soliton propagation in optical nonlinear media. In this research work, ansatz method of solving differential equation was used to derive the solution of unperturbed and perturbed cubic nonlinear Schrödinger equation (CNLSE). The perturbation terms consist of Third-Order dispersion term and self-steppening. The result of analytical study was used for the simulation using surfer simulation software and the data was generated using Microsoft office excel. The governing equation is the cubic nonlinear Schrödinger equation, (CNLSE), in the presence of perturbation terms. The input pulse and the nonlinear coefficient parameter at the wavelength of with pulse duration of for group velocity dispersion nonlinear parameters γ = 1.0 W-1kg-1 third-order dispersion TOD , input power P0 = 1.2 mW. The method of ansatz was used. The ansatz was formulated and dimensionally verified. The CNLSE was divided into two, the perturbation term and the unperturbation term. The simulation shows that the unperturbed CNLSE become so large that the pulse cannot form a soliton and becomes broader than the input pulse, the effect of two perturbation terms such as TOD and Self steppening are responsible for improving the quality of the compressed pulse. From the simulations, it shows that the velocity of pulse profiles propagation increase by the influence of , the amplitude increases and the power loses decreases.

Keyward(s): Soliton, Perturbation, Pulse, Ansatz, Nonlinear, Dispersion

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