Novel Nonlinear Phenomena

Agrawal, Govind P.

doi:10.1016/b978-0-12-397023-7.00012-7

Cited by 5 publications

(9 citation statements)

References 284 publications

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“…A smaller soliton number mitigates energy loss during soliton fission and thus enhances the efficiency of generating the reddest Raman soliton during SSFS. 199 Furthermore, the decrease in Raman enhancement of SPM leads to a reduction in γ eff , which also decreases the soliton number. The decrease can be as much as a factor of 4.5 times in N 2 , for example [ Fig.…”

Section: Scalar Raman Response With Fwmmentioning

confidence: 99%

Unified and vector theory of Raman scattering in gas-filled hollow-core fiber across temporal regimes

Chen,

Wise

2024

APL Photonics

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Raman scattering has found renewed interest owing to the development of gas-filled hollow-core fibers, which constitute a unique platform for exploration of novel ultrafast nonlinear phenomena beyond conventional solid-core-fiber and free-space systems. Much progress has been made through models for particular interaction regimes, which are delineated by the relation of the excitation pulse duration to the time scales of the Raman response. However, current experimental settings are not limited to one regime, prompting the need for tools spanning multiple regimes. Here, we present a theoretical framework that accomplishes this goal. The theory allows us to review recent progress with a fresh perspective, makes new connections between distinct temporal regimes of Raman scattering, and reveals new degrees of freedom for controlling Raman physics. Specific topics that are addressed include transient Raman gain, the interplay of electronic and Raman nonlinearities in short-pulse propagation, and interactions of short pulses mediated by phonon waves. The theoretical model also accommodates vector effects, which have been largely neglected in prior works on Raman scattering in gases. The polarization dependence of transient Raman gain and vector effects on pulse interactions via phonon waves is investigated with the model. Throughout this Perspective, theoretical results are compared to the results of realistic numerical simulations. The numerical code that implements the new theory is freely available. We hope that the unified theoretical framework and numerical tool described here will accelerate the exploration of new Raman-scattering phenomena and enable new applications.

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Section: Scalar Raman Response With Fwmmentioning

confidence: 99%

Unified and vector theory of Raman scattering in gas-filled hollow-core fiber across temporal regimes

Chen,

Wise

2024

APL Photonics

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“…Because the refractive index is affected by the intensity, it creates nonlinearity and induces nonlinear chirp in the pulse [5,6]. The main nonlinear effect is self-phase modulation [7]. When GVD and chirp are combined, the outcome is a pulse response that is radically distinct from nonlinear effects; the action is also determined by dispersion regions such as the normal (NDR) and abnormal (ADR) regions of dispersion.…”

Section: Introductionmentioning

confidence: 99%

Effect of Some Parameters on Optical Soliton Pulses in Photonic Crystal Fibers

Jasim

2023

Curr. Appl. Sci. Technol.

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Fiber optics have been greatly enhanced by photonic crystal fibers based on microstructured air-glass designs. On the one hand, such fibers enable very tight light confines in a small mode shape region, resulting in significantly improved alternative options between light and dielectric medium. Photonic crystal fibers, on the other hand, allow light to be guided via air core instead of glass. As a result, the latter form of fiber decreases optical nonlinearities in ways that classic fiber designs cannot. The chirp effect and dispersion of photonic crystal fibers with super-Gaussian pulses during various pulses durations are examined in this paper in both normal and anomalous dispersion patterns. The chirp effect and fiber dispersive nonlinear effects are investigated. For this study, a mathematical model of the solution of a nonlinear equation involved the split-step Fourier method. Peak power was reduced for broad pulses. When the magnitude of the super-Gaussian pulse increased proportionally, pulse constriction was also noticeable, Furthermore, the results reveal that an anomalous dispersion system was superior to a regular dispersion system for pulse . The experimental findings will facilitate further research into more understanding of photonic crystal fibers, and to improve data speeds in modern optical communication systems

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“…The modulation instability (MI, alias the Benjamin-Feir instability) was first discovered for periodic surface gravity waves on deep water by Benjamin & Feir in 1967 [35]. After that, the MI was studied in both continuum and discrete nonlinear wave models (see [36][37][38] and references therein). It should be pointed out that the MI conditions were presented for the discrete NLS equation with both constant coefficients [39,40] and temporally periodic coefficients [41].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear self-dual network equations: modulation instability, interactions of higher-order discrete vector rational solitons and dynamical behaviours

2020

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The nonlinear self-dual network equations that describe the propagations of electrical signals in nonlinear LC self-dual circuits are explored. We firstly analyse the modulation instability of the constant amplitude waves. Secondly, a novel generalized perturbation ( M , N − M )-fold Darboux transform (DT) is proposed for the lattice system by means of the Taylor expansion and a parameter limit procedure. Thirdly, the obtained perturbation (1, N − 1)-fold DT is used to find its new higher-order rational solitons (RSs) in terms of determinants. These higher-order RSs differ from those known results in terms of hyperbolic functions. The abundant wave structures of the first-, second-, third- and fourth-order RSs are exhibited in detail. Their dynamical behaviours and stabilities are numerically simulated. These results may be useful for understanding the wave propagations of electrical signals.

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Novel Nonlinear Phenomena

Cited by 5 publications

References 284 publications

Unified and vector theory of Raman scattering in gas-filled hollow-core fiber across temporal regimes

Unified and vector theory of Raman scattering in gas-filled hollow-core fiber across temporal regimes

Effect of Some Parameters on Optical Soliton Pulses in Photonic Crystal Fibers

Nonlinear self-dual network equations: modulation instability, interactions of higher-order discrete vector rational solitons and dynamical behaviours

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