Effect of quintic nonlinearity on soliton collisions in optical fibers

Soneson, Joshua E.; Peleg, Avner

doi:10.1016/j.physd.2004.03.016

Cited by 31 publications

(53 citation statements)

References 33 publications

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“…Under these assumptions, we can employ the perturbation technique, developed in Refs. [33,34] and successfully applied for studying fast soliton collisions in the presence of third-order dispersion [33,34], quintic nonlinearity [35], delayed Raman response [13,15,26,27,36], and cubic loss [8].…”

Section: B Two-soliton Collisionmentioning

confidence: 99%

“…Under this approximation, Eq. (1) readily decomposes into an equation for the evolution of 0 and an equation for the evolution of β [26,33,35]. We focus attention on 0 and comment that the calculation of β is similar.…”

Section: B Two-soliton Collisionmentioning

confidence: 99%

“…The total collision-induced change in the envelope of the reference-channel soliton is 0 (x 0 ) = 0 (x 0 ,∞) − 0 (x 0 , − ∞). The corresponding changes in soliton parameters are calculated by projecting 0 (x 0 ) onto one of the four localized eigenmodes of the linear operator L describing small perturbations about the fundamental NLS soliton [26,33,35].…”

Section: B Two-soliton Collisionmentioning

confidence: 99%

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Cross-talk dynamics of optical solitons in multichannel waveguide systems with a Ginzburg-Landau gain-loss profile

Peleg

Chung

2012

Phys. Rev. A

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We investigate energy exchange in fast optical soliton collisions in Kerr nonlinear waveguides with weak linear loss, cubic gain, and quintic loss, i.e., with a Ginzburg-Landau (GL) gain-loss profile. We find that the amplitude shift in a single two-soliton collision in the presence of quintic loss is quartic in the initial soliton amplitudes, and that three-soliton interaction gives a significant contribution to the amplitude shift in a three-soliton collision. Moreover, we show that collision-induced dynamics of soliton amplitudes in a two-channel waveguide system with a GL gain-loss profile is described by a Lotka-Volterra (LV) model with quadratic and quartic interaction terms. Using the LV model, we show that linearly stable transmission with equal prescribed amplitudes can be achieved by a proper choice of the time-slot width and the ratio between the cubic gain and quintic loss coefficients. The linear stability of the transmission is confirmed by the numerical solution of a perturbed system of coupled nonlinear Schrödinger equations. Further numerical simulations show that transmission in waveguides with a GL gain-loss profile is less susceptible to radiation emission effects compared with waveguides with linear gain and cubic loss.

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Section: B Two-soliton Collisionmentioning

confidence: 99%

Section: B Two-soliton Collisionmentioning

confidence: 99%

Section: B Two-soliton Collisionmentioning

confidence: 99%

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Cross-talk dynamics of optical solitons in multichannel waveguide systems with a Ginzburg-Landau gain-loss profile

Peleg

Chung

2012

Phys. Rev. A

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“…However, in a real experiment the case of self defocusing quintic nonlinearity is only interesting and has drawn considerable attention. For such real experimental situation [6,18,29] γ is always less than 1, and typical value of γ ranges from |γ| ≈ 0.001 to 0.1. In our present investigation we shall confine our attention in the above mentioned regime i.e., 0 ≺ γ ≺ 1.…”

Section: Nonlinear Propagationmentioning

confidence: 99%

“…However, higher order nonlinearities [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23] become important in semiconductor doped glass fibers and other composite materials at moderate intensities. Thus pulse propagation in fibers made of such materials needs to be described with different forms of nonlinearity in place of usual Kerr nonlinearity.…”

Section: Introductionmentioning

confidence: 99%

Dynamically Stable Super Gaussian Solitons in Semiconductor Doped Glass Fibers

Shwetanshumala¹,

Biswas²,

Konar³

2006

Journal of Electromagnetic Waves and Applications

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In this paper we have investigated the propagation properties of chirped super Gaussian soliton pulses through semiconductor doped glass fibers which is a dispersive medium with cubic quintic nonlinearity. Using variational principle, the evolution equations of the soliton parameters such as amplitude, temporal width, position of centre, chirp etc. have been derived. The dynamics of these parameters have been analysed. Employing linear stability analysis we have shown that super Gaussian solitons are stable in semiconductor doped glass fibers.

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Investigation of Quantum Droplets: An Analytical Approach

Debnath

Khan

2021

Annalen der Physik

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Recent observations of droplets in dipolar and binary Bose–Einstein condensate (BEC) gives motivation to study the theory of droplet formation in detail. Specifically, the authors are interested in investigating the possibility of droplet formation in a quasi‐1D geometry. Recent observations have suggested that droplets are stabilized by competition between effective mean‐field and beyond mean‐field interaction. Hence, it is possible to map the effective equation of motion to a cubic‐quartic nonlinear Schrödinger equation (CQNLSE). Two analytical solutions of the modified Gross–Pitaevskii equation or CQNLSE are obtained and they are verified numerically. Based on their stability, the parameter regime for which droplets can form is investigated. The effective potential allows for conclusions about the regions of soliton domination and self‐bound droplet formations.

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Effect of quintic nonlinearity on soliton collisions in optical fibers

Cited by 31 publications

References 33 publications

Cross-talk dynamics of optical solitons in multichannel waveguide systems with a Ginzburg-Landau gain-loss profile

Cross-talk dynamics of optical solitons in multichannel waveguide systems with a Ginzburg-Landau gain-loss profile

Dynamically Stable Super Gaussian Solitons in Semiconductor Doped Glass Fibers

Investigation of Quantum Droplets: An Analytical Approach

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