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Optical and Quantum Electronics

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01-04-2023

Role of nonlinear saturation on modulational instability in Kundu–Eckhaus equation with the presence of inter modal, XPM and SPM

Authors: P. Mohanraj, R. Sivakumar, Jayaprakash Kaliyamurthy, Rajesh Kumar

Published in: Optical and Quantum Electronics | Issue 4/2023

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Abstract

With cross phase modulation (XPM), conventional saturable nonlinearity (CSNL), and self phase modulation (SPM) present, we analyze the effect of inter modal dispersion on the modulation instability (MI) of an optical rogue waves in the Kundu-Eckhaus (KE) equation. We take into account the two component KE model without the four wave mixing term and with intermodal dispersion along with CSNL. On the basis of the conventional linear stability analysis, the MI criterion for the KE equation is determined. Using the MI criterion, it is possible to determine how inter modal dispersion and CSNL affect the MI of an optical rogue waves in a birefringent fiber when XPM and SPM are present. Through a graphical illustration of MI gain, the effects of intermodal dispersion and CSNL on MI in optical fiber for the presence of SPM and XPM are explored.

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Title: Role of nonlinear saturation on modulational instability in Kundu–Eckhaus equation with the presence of inter modal, XPM and SPM
Authors: P. Mohanraj
R. Sivakumar
Jayaprakash Kaliyamurthy
Rajesh Kumar
Publication date: 01-04-2023
Publisher: Springer US
Published in: Optical and Quantum Electronics / Issue 4/2023
Print ISSN: 0306-8919
Electronic ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-023-04588-0

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