Reduced-power optical solitons in fiber lines with short-scale dispersion management

We examine the properties of dispersion-managed (DM) solitons in fiber lines with dispersion-compensation period L much shorter than amplification distance Z(a) . DM solitons in systems with short-scale dispersion compensation have reduced power compared with DM solitons in previously studied regimes with L>/=Z(a) power (for the same local and average dispersion and the same pulse width). As a result, chirped DM soliton transmission with reasonably low power can be realized with shorter pulses when DM solitons in systems with large L/Z(a) ratios have energies that are too high to be used in practice.     

飞秒啁啾孤子在线性色散平坦光纤中的相互作用

采用分步傅里叶方法数值研究了在线性色散平坦光纤反常色散区等幅同相孤子脉冲相互作用受高阶色散、拉曼效应、光纤损耗和啁啾参量C等的影响规律。多孤子脉冲在线性和凸形色散平坦光纤中传输100个孤子周期后仍具有孤子特性。在线性色散平坦光纤,多孤子脉冲相互作用受三阶色散影响较严重,三阶色散使各脉冲产生较大的色散波和线性时延;更高阶色散的影响可以忽略;拉曼效应使脉冲产生较大的非线性时延;啁啾加强了脉冲间相互作用;光纤损耗减弱了脉冲间相互作用。     

Nonlinear theory of polarization-mode dispersion for fiber solitons

We consider the evolution of optical solitons inside a nonlinear dispersive fiber with random birefringence, causing polarization-mode dispersion. We convert the pair of coupled nonlinear Schr?dinger equations satisfied by the orthogonally polarized components into a Fokker-Planck equation using the collective-variable approach. We solve this equation and derive expressions for the probability density functions associated with the differential group delay and the pulse width in the limit of large propagation distances.     

Stabilization of optical solitons in chirped PT-symmetric lattices

We investigate the stability properties of optical solitons in a chirped PT-symmetric lattice whose frequency changes in the transverse direction. Linear-stability analysis together with the direct propagation simulations demonstrates that the chirped lattice can improve the stability of optical solitons dramatically. The instability of fundamental solitons can be completely suppressed if the chirp rate exceeds a critical value. A broad stability area of dipole solitons appears if the lattice is appropriately chirped. Thus, we propose an effective way to suppress the instability of solitons in PT-symmetric potentials.     

利用啁啾光纤光栅进行色散补偿的研究

分析了由于光纤的色散引起的脉冲展宽,并介绍了啁啾布拉格光纤光栅进行色散补偿的基本原理。２－５Ｇｂ／ｓ、１００ｋｍ 色散补偿的实验结果表明,利用啁啾光纤光栅进行色散补偿是一种切实可行的色散补偿方案。     

The theory of optical communication lines with a short-scale dispersion management

We investigate, theoretically and numerically, properties of dispersion-managed (DM) solitons in fiber lines with the dispersion compensation period L much shorter than the amplification distance Z _a. We present the path-averaged theory of DM transmission lines with a short-scale management in the case of asymmetric maps. Applying a quasi-identical transformation, we demonstrate that the path-averaged dynamics in such systems can be described by an integrable model in some limits.     

光纤中的光孤子

叙述了光纤中光孤子形成的物理机理。即光纤中光孤子的形成是光纤中散射效应和相应调制效应相互制约、平衡的结果。     

Analytical and numerical study of chirped optical solitons in a spatially inhomogeneous polynomial law fiber with parity-time symmetry potential

This work studies the dynamical transmission of chirped optical solitons in a spatially inhomogeneous nonlinear fiber with cubic-quintic-septic nonlinearity, weak nonlocal nonlinearity,self-frequency shift and parity-time(■) symmetry potential. A generalized variable-coefficient nonlinear Schr?dinger equation that models the dynamical evolution of solitons has been investigated by the analytical method of similarity transformation and the numerical mixed method of split-step Fourier method and R...     

Dark solitons in optical fiber with inhomogeneous effects

We study the nonlinear wave propagation in an inhomogeneous optical fiber core in the normal dispersive regime. In order to include the inhomogeneous physical effects, the nonlinear Schrödinger equation (NLSE), which governs the solitary pulse propagation in optical fiber, is modified by adding terms for phase modulation and power gain or loss. The modified NLSEs are bilinearized and exact dark soliton solutions are obtained. The results are discussed.     

Breathing solitons in optical fiber links

We introduce the concept of “breathing” solitons to describe the dynamics of optical pulses in transmission lines with passive compensation of fiber chromatic dispersion. The “breathing” pulse can be used as the information carrier. The theory presented is complimentary to the concept of the guiding-center soliton. It is shown that an average bright soliton can propagate in a system with large variations of the dispersion, including segments with high normal dispersion. Pis’ma Zh. éksp. Teor. Fiz. 63, No. 10, 814–819 (25 May 1996) Published in English in the original Russian journal. Edited by Steve Torstveit.     

Diverse chirped optical solitons and new complex traveling waves in nonlinear optical fibers

This paper studies chirped optical solitons in nonlinear optical fibers. However, we obtain diverse soliton solutions and new chirped bright and dark solitons, trigonometric function solutions and rational solutions by adopting two formal integration methods. The obtained results take into account the different conditions set on the parameters of the nonlinear ordinary differential equation of the new extended direct algebraic equation method. These results are more general compared to Hadi et al(2018 Optik 172 545–53) and Yakada et al(2019 Optik197 163108).     

Cross-phase modulation in long-haul systems with chirped fiber Bragg gratings-based dispersion compensators

The cross-phase modulation (XPM) effect in fiber links with dispersion compensated by chirped fiber Bragg gratings (CFBGs) is analyzed here for the first time. A continuous-wave (CW) signal, referred to as a probe, is used to investigate the impact of XPM on communication systems. The result shows that the XPM in systems using CFBGs as dispersion compensators is greatly suppressed, compared with that of systems using dispersion compensated fiber (DCF). The difference of the dispersion management between the system using DCF and that using CFBGs is demonstrated, too.     

Gain-guided solitons in dispersion-managed fiber lasers with large net cavity dispersion

Gain-guided solitons are experimentally observed in dispersion-managed fiber lasers with large net positive group-velocity dispersion. It is shown that formation of the soliton is a robust feature of the lasers. Numerical simulations also confirmed the experimental results.     

Compression of Hermite–Gaussian pulses in an engineered optical fiber absorber with varying dispersion and nonlinearity

The compression of Hermite–Gaussian pulses in an engineered optical fiber absorber with varying dispersion and nonlinearity is studied both analytically and numerically. New parametric condition for such a pulse compression is obtained. The stabilities of these self-similar pulses, even at the maximum pulse compression, are then demonstrated under the perturbations of the additive white noise and the higher-order nonlinear effects such as self-steepening and self-frequency shift accompanying the severe pulse compression. This work may lead to other new methods for efficient generation of low-energetic ultrashort pulses with high quality.     

Femtosecond second-order solitons in optical fiber transmission

A propagation of the femtosecond second-order solitons in an optical fiber is studied. We show that a generalized nonlinear Schrödinger equation well describes the propagation of the second-order soliton even containing only a few optical cycles. The propagations of a 50 fs and a 10 fs second-order soliton in an optical fiber are numerically simulated. It is found that, for the case of 10 fs second-order soliton, the soliton decay is dominated by the third-order dispersion, in contrast to the case of 50 fs second-order solitons, where the soliton decay is dominated by the delayed Raman response. It is also found that the exact delayed Raman response form must be used for the propagation of the 50 fs or less than 50 fs second-order soliton.     

Interaction of solitons through radiation in optical fibers with randomly varying birefringence

Propagation of solitons in optical fibers is studied taking into account the polarization mode dispersion (PMD) effect. We show that the soliton interaction caused by the radiation emitted by solitons due to the PMD disorder leads to soliton jitter, and we find its statistical properties. The theoretical predictions are justified by direct numerical simulations.     

Dispersion-managed solitons in optical amplifier transmission systems with zero average dispersion

Soliton propagation in a cascaded dispersion-managed optical amplifier system with zero net dispersion is examined. We present a qualitative physical explanation for the recently discovered fact that a soliton with finite energy can propagate down a fiber line with zero or normal average dispersion. We describe a specific practical system for the main properties of such a soliton, namely, the dependence of the soliton power on the pulse width at chirp-free points and the soliton average energy and width at chirp-free points as functions of the dispersion-allocation (strength of the map) parameter.     

On the regime of trapping of optical fiber solitons by a control signal

A scheme of trapping of temporal solitons by a moving grating induced in an optical fiber by external radiation is proposed. Prospects for using the scheme to increase the capacity and the range of data transmission with the help of dissipative solitons are discussed.