Effect of nonlinear saturation on tunable instability gain spectra in meta materials with higher-order nonlinearities P. Mohanraj, Satyabrata Sahu, Aslam Khan, Nasir A. Siddiqui Journal of Nonlinear Optical Physics and Materials, 2026 This work studies the development of windows of harmonious instability in negative refractive material. After taking into account the fundamental need to monitor instability, such as self-phase modulation and group velocity spreading, we first examine the effects on the gain spectrum of fourth and third-order dispersals, cubic–quintic nonlinearity, higher-order nonlinear dispersions, self-steepening, and detuning parameter. Furthermore, in metamaterials with the aforementioned nonlinear effects, we investigate the influence of an adjustable nonlinear saturation effect over the modulational instability. Tunable modulation instability (MI) gain spectrum formation results from the tunable material parameters made possible by the engineering freedom offered by metamaterials. As a structure is operated at high incident power, generally exceeding the medium’s saturation inception, the SNL becomes a robust case. The nonlinear saturation window with negative index material can also produce adjustable instability gain spectrum formation. More methods for forming solitons and ultrashort pulses with desired parameters can be achieved with this tunable gain spectrum. The numerical approach validates the analytical prediction that came from the linear stability study.
Role of Higher-Order Scattering Coefficient and Residual Nonlinearities on Instability Criteria in Three-Body Bose-Einstein Condensates P. Mohanraj, R. Sivakumar, Jayaprakash Kaliyamurthy, V. Kamalakar, J. Gajendiran Journal of Optics and Photonics Research, 2025 We examine the instability characteristics in a three-body condensate and the effect of higher-order nonlinear effects caused by shape-dependent imprisonment and higher-order scattering coefficients such as S-wave scattering length and effective range for collisions. Using the linear stability technique, we study the spreading relations and gain profile of the adapted Gross–Pitaevskii equation with higher-order scattering coefficients and enduring nonlinearity. The role of higher-order interactions S-wave scattering length, residual nonlinearity, and effective range for collisions over the modulational instability in immiscible and miscible three-body Bose-Einstein condensates has been discussed in detail. Modulational instability (MI) can be excited in miscible condensates and changed in immiscible condensates because of residual nonlinearity, without taking into account higher-order nonlinearity and three-body condensates. However, the results of this work demonstrate that the influence of higher-order residual nonlinearity can cause the MI to change in both immiscible and immiscible condensates. The discovered MI spectrum reveals a new soliton production regime in three-body condensates. The results exhibit that higher-order scattering coefficient and remaining nonlinearity interplay can successfully switch the instability gain profile in miscible and immiscible condensates. This makes it possible to regulate the dynamics by varying the MI in a ternary combination of Bose-Einstein condensates. Received: 19 December 2023 | Revised: 13 June 2024 | Accepted: 23 September 2024 Conflicts of Interest The authors declare that they have no conflicts of interest to this work. Data Availability Statement Data are available from the corresponding author upon reasonable request. Author Contribution Statement P. Mohanraj: Conceptualization, Methodology, Software, Writing – original draft. R. Sivakumar: Validation, Formal analysis, Investigation, Supervision. Jayaprakash Kaliyamurthy: Writing – review & editing, Visualization. V. Kamalakar: Writing – review & editing, Visualization. J. Gajendiran: Writing – review & editing, Visualization.
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Effect of nonlinear saturation on tunable instability gain spectra in meta materials with higher-order nonlinearities P Mohanraj, S Sahu, A Khan, NA Siddiqui Journal of Nonlinear Optical Physics & Materials 35 (02), 2550011 , 2026 2026
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Role of Higher-Order Scattering Coefficient and Residual Nonlinearities on Instability Criteria in Three-Body Bose-Einstein Condensates P Mohanraj, R Sivakumar, J Kaliyamurthy, V Kamalakar, J Gajendiran Journal of Optics and Photonics Research 2 (4), 191-202 , 2025 2025
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