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Numerical Simulations of Optical Soliton Propagation under External Forcing

Journal: International Journal of Trend in Scientific Research and Development (Vol.6, No. 6)

Publication Date:

Authors : ;

Page : 1940-1948

Keywords : forced nonlinear Schrödinger equation; optical soliton; fiber loss; Crank-Nicolson implicit scheme; Gaussian forcing;

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Abstract

In this study, the time evolution of a single optical soliton and a head on collision of two well separated optical solitons both in the presence and absence of fiber loss are consecutively simulated and investigated for the effects of an applied external forcing. The propagation of optical solitons in nonlinear dispersive optical fiber is modelled by one dimensional forced nonlinear Schrödinger fNLS equation with the forcing being a time invariant space dependent complex Gaussian function. The fNLS equation is approximated by Crank Nicolson implicit scheme for its one and two soliton solutions. The solutions are numerically implemented and simulated in Python 3. In both cases of one and two solitons regardless of whether there is any fiber loss, the external forcing is observed to enforce the generation of a stationary soliton overlapping the forcing function along its spatial coordinate. Soner Tursun | Sharidan Shafie | Ong Chee Tiong "Numerical Simulations of Optical Soliton Propagation under External Forcing" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-6 | Issue-6 , October 2022, URL: https://www.ijtsrd.com/papers/ijtsrd52184.pdf Paper URL: https://www.ijtsrd.com/mathemetics/other/52184/numerical-simulations-of-optical-soliton-propagation-under-external-forcing/soner-tursun

Last modified: 2022-11-12 15:31:03