Impact of higher-order dispersions and non-kerr nonlinearities on soliton pulse trains induced by modulational instability in doped and undoped optical fibers

Abstract:

We start by considering the theory of electromagnetic waves, from the Maxwell’s equa tions, the extended (1+1)D complex Ginzburg-Landau equation, higher-order nonlin ear Schr¨odinger equation are derived with the third, fourth, fifth and sixth-order dis persions and the cubic, quintic, and septic nonlinear terms, describing the dynamics

of extremely short pulses in nonlinear undoped and doped optical fibers. The linear

stability analysis is employed to extract an expression for the modulational instability

gain of a CW solution. The sensitivity of the system to higher-order dispersions and

nonlinear terms is extensively shown the insinstance on the balance of interactions

between the sixth-order dispersion and nonlinerarity, septic self-steepening and the

septic self-frequency shift terms. The system is confronted to full numerical simula tions, pointing out that the input CW gives rise to a broad range of behaviors, in

relation to nonlinear patterns formations in the derived HNLS equation. To much

excitement, under the motivation of modulational instability, a suitable balance be tween the sixth-order dispersion and the septic self-frequency shift term is achieved

to bring forth some high influence on the propagation direction of the optical wave

patterns.

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APA

Kefilwe, N (2024). Impact of higher-order dispersions and non-kerr nonlinearities on soliton pulse trains induced by modulational instability in doped and undoped optical fibers. Afribary. Retrieved from https://afribary.com/works/impact-of-higher-order-dispersions-and-non-kerr-nonlinearities-on-soliton-pulse-trains-induced-by-modulational-instability-in-doped-and-undoped-optical-fibers

MLA 8th

Kefilwe, Ndebele "Impact of higher-order dispersions and non-kerr nonlinearities on soliton pulse trains induced by modulational instability in doped and undoped optical fibers" Afribary. Afribary, 12 Apr. 2024, https://afribary.com/works/impact-of-higher-order-dispersions-and-non-kerr-nonlinearities-on-soliton-pulse-trains-induced-by-modulational-instability-in-doped-and-undoped-optical-fibers. Accessed 28 May. 2024.

MLA7

Kefilwe, Ndebele . "Impact of higher-order dispersions and non-kerr nonlinearities on soliton pulse trains induced by modulational instability in doped and undoped optical fibers". Afribary, Afribary, 12 Apr. 2024. Web. 28 May. 2024. < https://afribary.com/works/impact-of-higher-order-dispersions-and-non-kerr-nonlinearities-on-soliton-pulse-trains-induced-by-modulational-instability-in-doped-and-undoped-optical-fibers >.

Chicago

Kefilwe, Ndebele . "Impact of higher-order dispersions and non-kerr nonlinearities on soliton pulse trains induced by modulational instability in doped and undoped optical fibers" Afribary (2024). Accessed May 28, 2024. https://afribary.com/works/impact-of-higher-order-dispersions-and-non-kerr-nonlinearities-on-soliton-pulse-trains-induced-by-modulational-instability-in-doped-and-undoped-optical-fibers