Synchronized wave and modulation instability gain induce by the effects of higher-order dispersions in nonlinear optical fibers

This work examines the effects of the higher-order dispersion (HOD) on modulated waves and modulation instability (MI) gain by using the perturbed nonlinear Schrödinger equation having the cubic quintic septic nonlinearity. We use the new generalized auxiliary equation method to underline the behavi...

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Bibliographic Details
Published in:Optical and quantum electronics 2022-10, Vol.54 (10), Article 642
Main Authors: Abbagari, Souleymanou, Houwe, Alphonse, Akinyemi, Lanre, Inc, Mustafa, Doka, Serge Y., Crépin, Kofané Timoléon
Format: Article
Language:English
Subjects:
Characterization and Evaluation of Materials
Communications systems
Computer Communication Networks
Dispersions
Electrical Engineering
Lasers
Mathematical models
Modulation
Nonlinear optics
Nonlinearity
Optical Devices
Optical fibers
Optics
Photonics
Physics
Physics and Astronomy
Schrodinger equation
Solitary waves
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Summary:This work examines the effects of the higher-order dispersion (HOD) on modulated waves and modulation instability (MI) gain by using the perturbed nonlinear Schrödinger equation having the cubic quintic septic nonlinearity. We use the new generalized auxiliary equation method to underline the behavior of bright, dark soliton as well as the combined optical soliton solutions. Considering the constraint relation on the combined optical soliton solutions, we carry out the W-shaped profile. We observe that the obtained optical soliton solutions can spread without alteration and can preserve their shapes. Moreover, we enhance the obtained analytical results by using the Split-Step Fourier technic which yields points out stable optical solitons. We have obviously highlighted the effects of the HOD by means of the numerical simulation. Owing to the fact that the model has nonlinear and dispersions terms, we have shown how the MI growth rate and the modulation bands can expand under the influence of the HOD terms in normal and anomalous dispersion regimes. It is worth mentioning the appearance of the unstable zones when the value of the higher-order dispersion term increases and additional bands also emerges. Compared these results with some previous works (Kohl in Optik 203:163451, 2020; Yao in Res Phys 30:104825, 2021; Wang in Phys Lett A 372:417–423, 2008; Ismail in Appl Math Comput 209:425–429, 2009; Nestor in Eur Phys J Plus 135:380, 2020), additional bands of the MI have been pointed out while the MI gain spectra have shown new sides lobes. We expect that these relevant and concise results could probably help to improve the communication system through optic fibers.
ISSN:0306-8919
1572-817X
DOI:10.1007/s11082-022-04014-x