https://doi.org/10.1140/epjp/s13360-025-06260-w
Regular Article
Impact of cross-phase modulation on modulation instability in nonlinear oppositely directed coupler
1
Department of Mathematics, Saveetha School of Engineering (SIMATS), Thandalam, 600124 , Chennai, Tamil Nadu, India
2
Department of Mathematics, Farook College (Affiliated to University of Calicut), 673632, Kozhikode, Kerala, India
3
Department of Physics, PSMO College, Tirurangadi (Affiliated to University of Calicut), 676306, Malappuram, Kerala, India
4
Nuclear Engineering Department, College of Engineering, King Abdulaziz University, 21589, Jeddah, Saudi Arabia
Received:
14
December
2024
Accepted:
25
March
2025
Published online:
18
April
2025
This study investigates the significant impact of cross-phase modulation (XPM) on modulation instability (MI) in a nonlinear tunnel-coupled oppositely directed coupler, with a focus on its practical applications in nonlinear optical systems. Our linear stability analysis reveals that XPM substantially enhances MI, leading to a considerable increase in the maximum gain and bandwidth of the instability gain spectrum. This enhancement is particularly pronounced when nonlinearity is concentrated in both channels of the coupler, making it an essential consideration for the design of optical devices. Furthermore, our analysis demonstrates that XPM induces instability breakup in the gain spectra, resulting in optical wave breaking. As MI is often a precursor to soliton formation, understanding the role of XPM in controlling soliton dynamics is crucial for predicting and manipulating soliton behavior in various applications, such as optical communication systems, ultrafast optics, and photonics. By elucidating the interplay between XPM and MI, this study provides valuable insights for the development of advanced nonlinear optical devices and systems, enabling the creation of stable and controllable soliton sources for a wide range of applications.
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
