Collisions of laser solitons

A theoretical analysis and numerical simulation of a soliton collider (a wide-aperture laser with saturable absorption and variable length of the cavity) are performed. The presence of the cavity length gradient in a part of the aperture allows one to accelerate the laser soliton up to noticeable values of the transverse velocity. As a result, it becomes possible to implement a high-energy collision of the soliton with another laser soliton located in the other part of the aperture where the length of the cavity is constant. Different scenarios are presented for the strong interaction of colliding laser solitons with different topological charges.     

Analyzing Dynamics of a Bright Soliton in Bose-Einstein Condensates with Time-Dependent Atomic Scattering Length

We analyze the dynamics of a bright soliton in Bose-Einstein condensates (BECs) with time-dependent atomic scattering length in an expulsive parabolic potential. Under a safe range of parameters in which the Gross-Pitaevskii (GP) equation is effective in one dimension, our results show that, the dynamics of the bright soliton can be classed into two phases, depending on the value of the scattering length. Meanwhile, there exists a critical value of the absolute value of the atomicscattering length, below which, the dynamics of the bright soliton is very regular. Those phenomena can be useful for developing concrete applications of the nonlinear matter waves. We also obtain the orbital equation of the bright soliton and get some interesting data which may be useful for the experimental observation of the bright soliton and the application of the atom laser with manipulated intensity.     

Effects of periodic optical lattice potential on dark solitons in a Bose Einstein condensate

This paper investigates the dynamics of dark solitons in a Bose--Einstein condensate with a magnetic trap and an optical lattice (OL) trap, and analyses the effects of the periodic OL potential on the dynamics by applying the variational approach based on the renormalized integrals of motion. The results show that the dark soliton becomes only a standing-wave and free propagation of the dark soliton is not possible when the periodic length of the OL potential is approximately equal to the effective width of the dark soliton. When the periodic length is very small or very large, the effects of the OL potential on the dark soliton will be sharply reduced. Finally, the numerical results confirm these theoretical findings.     

Evolutions of matter-wave bright soliton with spatially modulated nonlinearity

The evolution characteristics of a matter-wave bright soliton are investigated by means of the variational approach in the presence of spatially varying nonlinearity. It is found that the atom density envelope of the soliton is changed as a result of the spatial variation of the s-wave scattering length. The stable soliton can exist in appropriate initial conditions. The movement of the soliton depends on the sign and value of the coefficient of spatially modulated nonlinearity. These theoretical predictions are confirmed by the full numerical simulations of the one-dimensional Gross-Pitaevskii equation.     

Propagation of short soliton pulses through a parabolic index fiber with dispersion decreasing along length

A parabolic index dispersion decreasing fiber (DDF) has been designed and optimized to produce high capacity soliton communication system. Variation of different fiber parameters such as core radius, effective core area and GVD factor along the 25 km of DDF length has been carried out to optimize a best possible DDF which can sustain the propagation of fundamental soliton. The variation of non-linearity with length along with the conventional power and GVD factor variation has been included in the generalized non-linear Schrodinger equation (NLSE). This NLSE has been solved numerically by split step Fourier method for shorter pulse propagation, incorporating the term for third order dispersion and intrapulse Raman scattering. Stable soliton pulses in transmission system have been achieved by our simulation, when a correction factor due to Raman induced soliton mean frequency shift is incorporated to the GVD profile predicted by the fundamental soliton condition. The interaction of neighboring soliton pulse pair through the proposed fiber has also been studied.     

Formation of the amplification regime of quasi-soliton pulses in waveguides with longitudinally inhomogeneous cross sections

The possibility of ideal soliton amplification in a waveguide due to the formation of a specific inhomogeneity of its radius along the length is studied using the example of an active gradient-index (with a parabolic profile of the refractive index) optical fiber. It is shown that, in the case of an appropriate choice of the a(z) function, such soliton dynamics is possible even if the gain increment is constant over the length. The conditions imposed on the frequency dependences of the parameters determining the soliton dynamics are considered.     

Modulating the amplitude of dark soliton by scattering-length management in Bose-Einstein condensates

We present a family of soliton solutions of the quasi-one-dimensional Bose-Einstein condensates with time-dependent scattering length, by developing multiple-scale method combined with truncated Painlevé expansion. Then, by numerical calculating the solutions, it is shown that there exhibit two types of dark solitons—black soliton (the zero minimum amplitude at its center) and gray soliton (the minimum density does not drop to zero) in a repulsive condensate. Furthermore, we propose experimental protocols to realize the exchange between black and gray solitons by varying the scattering length via the Feshbach resonance in currently experimental conditions.     

Propagation of a dark soliton in a disordered Bose-Einstein condensate

We consider the propagation of a dark soliton in a quasi-1D Bose-Einstein condensate in presence of a random potential. This configuration involves nonlinear effects and disorder, and we argue that, contrarily to the study of stationary transmission coefficients through a nonlinear disordered slab, it is a well-defined problem. It is found that a dark soliton decays algebraically, over a characteristic length which is independent of its initial velocity, and much larger than both the healing length and the 1D scattering length of the system. We also determine the characteristic decay time.     

在采用集总放大器的光孤子优越传输中啁啾的作用

讨论了光孤子传输中，由脉冲包络的相位变化产生的啁啾与孤子传输的关系。数值计算表明，当孤子脉冲收缩、展宽时，啁啾总是改变符号，利用啁啾也可以定出孤子传输的光纤临界长度（即孤子传输中集总放大器的间隔），其效果比用脉宽恢复定出的临界长度要好     

Improvement of Soliton Communication System with Optical Phase Conjugation

Optical phase conjugation is used to improve soliton communication system cascaded by distributed erbium-doped fibers. The results show that if its periodic length is chosen properly, optical phase conjugation can reduce the radiated energy and the time jitters, postpone the widening of soliton pulse width, also improve the stability of the soliton system.     

掺杂聚乙炔中的边界效应与孤子对稳定性

在自然边界条件下,研究了含有两个杂质离子的反式聚乙炔链中孤子对的稳定性和电子能级结构。所用哈密顿量在SSH模型基础上,附加了一个端点势,并包含了杂质的屏蔽库仑势及格点上e-e相互作用。计算结果显示,杂质离子的库仑作用力程足够长时,链中形成稳定的孤子对,链端的影响增强这种稳定性。带隙宽度随链的增长而变窄,但孤子能级至导带底的跃迁能量随链长变化不明显。 关键词：     

Effect of gain media characteristics on the formation of soliton molecules in fiber laser

Erbium doped fiber and Er³⁺/Yb³⁺ codoped phosphate glass fiber are used as the laser media, respectively, to achieve self-started mode-locking based on nonlinear polarization rotation. It is found that the formation of the soliton molecule is the popular phenomenon in fiber laser. The laser media with high gain coefficient and short length is benefit of the formation of the soliton molecule at fundamental repetition rate and will generate evident soliton molecule pulse profile with strong accompanied structures. The achievement of soliton molecule owes to the partial operation of polarization filter effect in laser cavity due to the weak nonlinear polarization rotation in gain media with high gain coefficient and short length.     

AdS/CFT Correspondence and Dark Soliton

In this paper we use the AdS/CFT correspondence to study dark soliton solutions in a holographic model of a relativistic superfluid. We calculate the length scales corresponding to the condensate and the charge density depletion, and find relation with the chemical potential. We compare our solutions with the quasiparticle excitations above the holographic superfluid and find that the scale of the excitations is comparable to the soliton coherence length scales.     

Damping of internal soliton modes in media with quadratic nonlinearity

Optical solitons in media with quadratic nonlinearity and frequency dispersion are theoretically analyzed. Internal soliton modes and the rate of their radiative damping as a function of detuning from the phase-matching condition and the nonlinear shift of phase velocity for different soliton dimensions (d=1, 2, 3) are found. The length of a nonlinear medium required to form a stationary soliton is determined.     

色散渐减光纤组成的环形镜对高阶孤子的理想压缩

利用数值模拟方法证明,采用色散渐减光纤组成的非线性光纤环形镜不仅可压缩高阶光孤子,而且能有效地消除压缩后脉冲的底座、提高光脉冲的输出能量.研究表明,对于一确定的色散渐减光纤,只要选取不同环形镜长度,即可对不同阶数的高阶孤子进行理想压缩.且孤子阶数越高,所需最佳环形镜长度越短、压缩后光脉冲的峰值强度越大、能量透射率越低.研究同时发现,环形镜的功率分束比存在一最佳值,在此值下所得压缩后的光脉冲不仅具有较大的峰值及能量透射率,且不含底座.     

色散渐减光纤的脉冲压缩研究

介绍了色散渐减光纤的绝热孤子压缩(ASC)过程，分析结果表明利用线性渐减的色散渐减光 纤(DDF)对飞秒基态孤子进行绝热压缩可以得到高质量的压缩脉冲，但用于压缩的DDF长度很 长，因此又提出DDF的高阶孤子(1＜N≤21)脉冲压缩技术，以在较短的DDF长度下获得 较大压缩比和高质量的压缩脉冲. 关键词： 色散渐减光纤 绝热孤子压缩 脉冲压缩 高阶孤子     

超长腔碳纳米管锁模多波长掺镱光纤激光器

报道了一种超长腔碳纳米管锁模多波长掺镱光纤激光器, 光纤激光器的总长度为1021.2 m. 实验得到了噪声型孤子和孤子雨两种类型的多波长锁模脉冲, 重复频率均为199.8 kHz. 孤子雨具有更高的输出功率和单脉冲能量, 分别为40.3 mW和201.5 nJ, 对应的脉冲宽度为102.5 ns.     

Solitons in random media with long-range correlation

Abstract

A statistical approach of the propagation of solitons in media with a spatially random potential is developed. Applying the inverse scattering transform several regimes are demonstrated which are determined by the mass and the velocity of the incoming soliton as well as by the correlation length of the random potential. Namely, the mass of the soliton is conserved if its initial amplitude is large enough. If the initial mass is small, then the mass decays with the length of the system. The decay rate is exponential in the case of a white noise perturbation, but it obeys a power law if the carrier wavenumber of the soliton lies in the tail of the spectrum of the potential. Furthermore, the scattered radiation propagates in a backward direction in the case of a white noise perturbation, while it propagates in a forward direction (with the same carrier wavenumber as the soliton) in the case of a coloured noise with long-range correlation.     

On the path length of an excess electron interacted with optical phonons in a molecular chain

We show that in a molecular chain with dispersionless phonons at zero temperature, a “quasistationary” moving soliton state of an excess electron is possible. As the soliton velocity vanishes, the path length of the excess electron exponentially tends to infinity. It is demonstrated that in the presence of dispersion, when the soliton initial velocity exceeds the maximum group velocity of the chain, the soliton slows down until it reaches the maximum group velocity and then moves stationarily at this maximum group velocity. A conclusion is made of the fallacy of some works were the existence of moving polarons in a dispersionless medium is considered infeasible.     

Motion of dissipative solitons in a laser cavity with a smooth transverse inhomogeneity

The effect of the inhomogeneity gradient in a large-aperture class A laser with a saturable absorber on the transverse motion of dissipative solitons and their clusters in the laser cavity is analytically and numerically studied. A soliton with a nonzero topological charge is found to move rectilinearly in the steady-state regime but in a direction that differs from the direction of the cavity length gradient, which is connected with a nontrivial internal structure of the soliton. The steady-state motion of soliton clusters can be curvilinear, including translational and rotational motions of their center.