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

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dc.contributor.supervisor Tabi, Conrad Bertrand
dc.contributor.supervisor Kofané, Timoléon Crépin
dc.contributor.author Ndebele, Karabo Kefilwe
dc.date.accessioned 2023-02-01T13:31:17Z
dc.date.available 2023-02-01T13:31:17Z
dc.date.issued 2022-03
dc.identifier.citation Ndebele, K. (2022) .Impact of higher-order dispersions and non-kerr nonlinearities on soliton pulse trains induced by modulational instability in doped and undoped optical fibers, Master's thesis, Botswana International University of Science and Technology: Palapye en_US
dc.identifier.uri http://repository.biust.ac.bw/handle/123456789/521
dc.description.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. en_US
dc.language.iso en en_US
dc.publisher Botswana International University of Science and Technology (BIUST) en_US
dc.subject Modulational Instability en_US
dc.subject Higher-order nonlinear Schrodinger equation en_US
dc.subject Complex Ginzburg-Landau equation en_US
dc.subject Sixth-order dispersion en_US
dc.subject Septic nonlinearity en_US
dc.subject Septic self- steepening en_US
dc.subject Septic Raman scattering. en_US
dc.title Impact of higher-order dispersions and non-kerr nonlinearities on soliton pulse trains induced by modulational instability in doped and undoped optical fibers en_US
dc.description.level msc en_US
dc.dc.description Thesis (MSc of Science in Physics--Botswana International University of Science and Technology, 2022
dc.description.accessibility unrestricted en_US
dc.description.department paa en_US


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