TY - JOUR
T1 - Higher-order dispersion and nonlinear effects of optical fibers under septic self-steepening and self-frequency shift
AU - Ndebele, Karabo K.
AU - Tabi, Conrad B.
AU - Tiofack, Camus G.Latchio
AU - Kofané, Timoléon C.
N1 - Funding Information:
The work by C.B.T. was supported by the Botswana International University of Science and Technology under Grant No. DVC/RDI/2/1/16I (25). C.B.T. thanks the Kavli Institute for Theoretical Physics (KITP), University of California Santa Barbara (USA).
Funding Information:
Botswana International University of Science and Technology Kavli Institute for Theoretical Physics, University of California, Santa Barbara
Publisher Copyright:
©2021 American Physical Society
PY - 2021/10
Y1 - 2021/10
N2 - We investigate the modulational instability (MI) of a continuous wave (cw) under the combined effects of higher-order dispersions, self steepening and self-frequency shift, cubic, quintic, and septic nonlinearities. Using Maxwell's theory, an extended nonlinear Schrödinger equation is derived. The linear stability analysis of the cw solution is employed to extract an expression for the MI gain, and we point out its sensitivity to both higher-order dispersions and nonlinear terms. In particular, we insist on the balance between the sixth-order dispersion and nonlinearity, septic self-steepening, and the septic self-frequency shift terms. Additionally, the linear stability analysis of cw is confronted with the stability conditions for solitons. Different combinations of the dispersion parameters are proposed that support the stability of solitons and the occurrence of MI. This is confronted with full numerical simulations where the input cw gives rise to a broad range of behaviors, mainly related to nonlinear patterns formation. Interestingly, under the activation of MI, a suitable balance between the sixth-order dispersion and the septic self-frequency shift term is found to highly influence the propagation direction of the optical wave patterns.
AB - We investigate the modulational instability (MI) of a continuous wave (cw) under the combined effects of higher-order dispersions, self steepening and self-frequency shift, cubic, quintic, and septic nonlinearities. Using Maxwell's theory, an extended nonlinear Schrödinger equation is derived. The linear stability analysis of the cw solution is employed to extract an expression for the MI gain, and we point out its sensitivity to both higher-order dispersions and nonlinear terms. In particular, we insist on the balance between the sixth-order dispersion and nonlinearity, septic self-steepening, and the septic self-frequency shift terms. Additionally, the linear stability analysis of cw is confronted with the stability conditions for solitons. Different combinations of the dispersion parameters are proposed that support the stability of solitons and the occurrence of MI. This is confronted with full numerical simulations where the input cw gives rise to a broad range of behaviors, mainly related to nonlinear patterns formation. Interestingly, under the activation of MI, a suitable balance between the sixth-order dispersion and the septic self-frequency shift term is found to highly influence the propagation direction of the optical wave patterns.
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U2 - 10.1103/PhysRevE.104.044208
DO - 10.1103/PhysRevE.104.044208
M3 - Article
AN - SCOPUS:85117724738
VL - 104
JO - Physical Review E
JF - Physical Review E
SN - 2470-0045
IS - 4
M1 - 044208
ER -