Impact of fractional effects on modulational instability and bright soliton in fractional optical metamaterials

Sylvere, Azakine Sindanne; Justin, Mibaile; David, Vroumsia; Joseph, Mora; Betchewe, Gambo

doi:10.1080/17455030.2021.1880668

Cited by 16 publications

(3 citation statements)

References 28 publications

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“…In these works, some novel results are attained to understand the modulation instability in metamaterials. In addition, study on soliton dynamics in negative index optically metamaterials have been addressed by numerous researchers through pioneering works [28][29][30][31][32][33][34][35][36][37][38]. Particularly, with the presence of pseudo-quintic nonlinearity, self-steepening effect and delayed Raman response, controllable MI process have been addressed [39].…”

Section: Interplay Between Intermodal and Higher Order Dispersion For...mentioning

confidence: 99%

Interplay between intermodal and higher order dispersion for negative-index nonlinear metamaterials

Veni,

Biswas

et al. 2024

Preprint

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We have conducted a study that investigates the complex interactions between different factors in metamaterials, particularly in the context of modulation instability. We have shown the competition between intermodal dispersion, self steepening effect, higher order dispersion and the amplitude of plane waves with variety of modulation instability in metamaterials. The specific behavior of MI bands and their dependence on the self-steepening parameter and amplitude will vary depending on the details of the optical system and the dispersion properties of the medium

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Section: Interplay Between Intermodal and Higher Order Dispersion For...mentioning

confidence: 99%

Interplay between intermodal and higher order dispersion for negative-index nonlinear metamaterials

Veni,

Biswas

et al. 2024

Preprint

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show abstract

“…In these works, some novel results are attained to understand the modulation instability in metamaterials. In addition, study on soliton dynamics in negative index optically metamaterials have been addressed by numerous researchers through pioneering works [26][27][28][29][30][31][32][33][34][35][36][37][38]. Particularly, with the presence of pseudo-quintic nonlinearity, self-steepening effect and delayed Raman response, controllable MI process have been addressed [39].…”

Section: Introductionmentioning

confidence: 99%

Exploring the dynamic interplay of intermodal and higher order dispersion in nonlinear negative index metamaterials

Veni,

Mani Rajan,

Biswas

et al. 2024

Phys. Scr.

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Our study delves into the intricate interplay of various factors within metamaterials, with afocus on modulation instability. Through our research, we elucidate the intricate dynamics involving intermodal dispersion, self-steepening effect, higher order dispersion, and plane wave amplitude,showcasing their competition and influence on modulation instability phenomena. We aim to explorethe impact of intermodal dispersion and higher-order effects by numerically solving the generalizednonlinear Schr¨odinger equation (NLSE), which models the propagation of a few-cycle pulse in a nonlinear metamaterial. Our modulation instability (MI) analysis captures the complex dynamics thesefactors introduce. We demonstrate the spatiotemporal evolution of MI under different parametervalues, revealing how these variations influence the instability’s development and characteristics.This approach provides a detailed understanding of the system’s behavior across various conditions,highlighting the roles of intermodal dispersion and higher-order effects. We demonstrate that thebehavior of modulation instability bands and their reliance on parameters such as self-steepeningand wave amplitude is contingent upon the specific characteristics of the optical setup and mediumdispersion properties.

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“…In 2017, Zhang et al [36] demonstrated theoretically and numerically that the Lévy index affects the fastest growing frequency and MI bandwidth and gain. Correspondingly, dark soliton [37] and bright soliton [38], instability modulations in the FSE have also been studied.…”

Section: Introductionmentioning

confidence: 99%

Periodic evolution of the Pearcey Gaussian beam under fractional effect

Ren¹,

Gao²,

Guo³

et al. 2022

J. Phys. B: At. Mol. Opt. Phys.

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In this paper, the propagation dynamics of the Pearcey Gaussian beam modeled by the fractional Schrödinger equation in linear potential have been investigated. Different from the propagation properties of the Pearcey Gaussian beam described by the standard Schrödinger equation, the diffraction-free phenomenon which is presented under the fractional Schrödinger equation with linear potential or not, is influenced by Lévy index. When the linear potential is considered, the periodic evolution of the Pearcey Gaussian beams is given, and results show that transmission period is inversely proportional to the linear potential coefficient. And the direction of beam propagation can be controlled by the symbol of linear potential parameters. The propagation of incident beam with transverse wave velocity have been studied. Moreover, the chirp does not influence the evolution period of the Pearcey Gaussian beam but the intensity distribution. These properties can be well implemented to the promising applications of Pearcey Gaussian beam in optical manipulation and optical switch.

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Impact of fractional effects on modulational instability and bright soliton in fractional optical metamaterials

Cited by 16 publications

References 28 publications

Interplay between intermodal and higher order dispersion for negative-index nonlinear metamaterials

Interplay between intermodal and higher order dispersion for negative-index nonlinear metamaterials

Exploring the dynamic interplay of intermodal and higher order dispersion in nonlinear negative index metamaterials

Periodic evolution of the Pearcey Gaussian beam under fractional effect

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