Numerical simulation of propagation of a femtosecond optical soliton in a single-mode fiber with allowance for the imaginary part of Raman response |
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| Authors: | D. L. Hovhannisyan A. H. Hovhannisyan G. D. Hovhannisyan K. A. Hovhannisyan |
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| Affiliation: | (1) Department of Mathematical Sciences, Applied Mathematics Research Center, Center for Research and Education in Optical Sciences and Applications, Delaware State University, Dover, DE 19901-2277, USA;(2) Center for Research and Education in Optical Sciences and Applications, Delaware State University, Dover, DE 19901-2277, USA;(3) Faculty of Electronic Engineering, Department of Telecommunications, University of Nis, Aleksandra Medvedeva 14, 1800 Nis, Serbia |
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| Abstract: | We consider the effect of Raman inertial response of a medium on the stability of a first-order femtosecond soliton. Numerical solution to the high-order nonlinear Schrödinger equation, with the complex Raman term, describing propagation of a femtosecond optical soliton in a single-mode fiber, is obtained. It is shown that a soliton solution of the high-order nonlinear Schrödinger equation exists under certain conditions imposed on the equation coefficients. These conditions lead to limitations on the wavelength, fiber type, and the highest energy. Results of numerical solutions are in agreement with available experimental data. |
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