Multistability and switching in oppositely-directed saturated coupler

Nithyanandan, K.; Ali, Asghar; Porsezian, K.; Nishad, M.P.M.; Dinda, P. Tchofo; Grelu, Philippe

doi:10.1016/j.optcom.2018.01.055

Cited by 10 publications

(3 citation statements)

References 61 publications

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“…The distinctive properties of negative-index materials could influence the behavior of solitons, particularly in terms of the inverse relationship between phase velocity and energy flow, potentially resulting in novel solitonic behavior not observed in standard materials. Additionally, the heightened control over lightmatter interaction in negative-index materials could facilitate the formation of solitons under conditions that would be unattainable in conventional materials, opening up new possibilities for research and applications in optical communication, nonlinear optics, and photonic devices [38][39][40][41][42][43][44]. q x t , , Re ( ( )) q x t , and | ( )| q x t , with the effect of the power nonlinearity parameter n.…”

Section: Resultsmentioning

confidence: 99%

Novel highly dispersive soliton solutions in couplers for optical metamaterials: leveraging generalized Kudryashov’s Law of refractive index with eighth-order dispersion and multiplicative white noise

Zayed,

Alurrfi,

Hasek

et al. 2024

Phys. Scr.

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This article represents a significant advancement in the understanding of highly dispersive optical solitons within the context of optical metamaterials, leveraging a generalized form of Kudryashov’s law of refractive index. By integrating eighth-order dispersion and multiplicative white noise into the analysis, crucial elements in the development and optimization of sophisticated optical metamaterials are accounted for in this current paper for the first time. Through an improved direct algebraic method, a diverse range of soliton solutions are derived, encompassing bright, dark, singular, and straddled solitons. Moreover, the study goes beyond mere derivation by presenting exact solutions expressed using Jacobi and Weierstrass’s elliptic functions. This mathematical framework offers deeper insights into the dynamics of solitons within the investigated context. These findings substantially expand the theoretical underpinnings governing optical solitons in metamaterials, with direct implications for the design, and implementation of next-generation optical devices. The bridging of theoretical advancements with practical applications underscores the significance of this work. By elucidating precise control over soliton properties, it lays the groundwork for innovative solutions in optical communications and beyond. Also, this research serves as a crucial stepping stone towards realizing the full potential of optical metamaterials in shaping the future of optical technologies.

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Section: Resultsmentioning

confidence: 99%

Novel highly dispersive soliton solutions in couplers for optical metamaterials: leveraging generalized Kudryashov’s Law of refractive index with eighth-order dispersion and multiplicative white noise

Zayed,

Alurrfi,

Hasek

et al. 2024

Phys. Scr.

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“…More recently, MI has been studied for two-core couplers both theoretically and numerically based on modified nonlinear Schrödinger equations [18][19][20][21][22][23][24]. We also observe the use of the saturable nonlinear term in the study of MI properties in two-core couplers [25][26][27][28][29]. One of the main objectives of this report is to identify whether a PIM-NIM system with a suitable combination of nonlinearities will help modify the instabilities.…”

Section: Introductionmentioning

confidence: 99%

Saturable higher nonlinearity effects on the modulational instabilities in three-core triangular configuration couplers

Mohanraj

Sivakumar

2021

J. Opt.

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This paper demonstrates the possibility to observe the modulational instability (MI) regions due to modified nonlinear saturability over and above other high-order nonlinearities for the triangular configuration of a three-core oppositely directed coupler. In this configuration, two channels are positive-refractive-index material, and one is a negative-index material. The governing equations are the modified coupled nonlinear Schrödinger equations, to which we add the higher-order nonlinearity terms and coupling terms. This equation is further modified with the saturable nonlinearity term. In the presence of several nonlinearities, we derive the dispersion relation for the optical coupler under consideration. We use a linear stability analysis to study the modulation stability characteristic gain in both the normal and anomalous group-velocity dispersion regimes. We have widely varied the parameter range of the physical system parameters to accommodate different possibilities. In the normal region, the saturable nonlinearity aids in increasing the bandwidth of the MI region, while in the anomalous regime, the bandwidth reduces. In the normal dispersion case, the simultaneous presence of all nonlinearities in the optical coupler does not provide a suitable scope for pulse propagation. On the other hand, in the anomalous regime, these nonlinearities favor for pulse propagation.

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“…We have also studied the effects of the detuning parameter in Eqs. (1) and ( 2), δ, on the bistability, which was neglected in previous works [34,[41][42][43][44], which solely addressed phasematched ADC. Figure 5(a) displays how δ affects the inputoutput curves in the system with equal gain and loss, χ 1 = χ 2 .…”

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confidence: 99%

Nonlinear anti-directional couplers with gain and loss

2019

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Following the concept of P T -symmetric couplers, we propose a linearly coupled system of nonlinear waveguides, made of positive-and negative-index materials, which carry, respectively, gain and loss. We report novel bi-and multi-stability states pertaining to transmitted and reflective intensities, which are controlled by the ratio of the gain and loss coefficients, and phase mismatch between the waveguides. These states offer transmission regimes with extremely low threshold intensities for transitions between coexisting states, and very large amplification ratio between the input and output intensities leading to an efficient way of controlling light with light.

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Multistability and switching in oppositely-directed saturated coupler

Cited by 10 publications

References 61 publications

Novel highly dispersive soliton solutions in couplers for optical metamaterials: leveraging generalized Kudryashov’s Law of refractive index with eighth-order dispersion and multiplicative white noise

Novel highly dispersive soliton solutions in couplers for optical metamaterials: leveraging generalized Kudryashov’s Law of refractive index with eighth-order dispersion and multiplicative white noise

Saturable higher nonlinearity effects on the modulational instabilities in three-core triangular configuration couplers

Nonlinear anti-directional couplers with gain and loss

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