Nonlinear tunneling of optical soliton in 3 coupled NLS equation with symbolic computation

We investigated the soliton solution for N$N$ coupled nonlinear Schrödinger (CNLS) equations. These equations are coupled due to the cross-phase-modulation (CPM). Lax pair of this system is obtained via the Ablowitz–Kaup–Newell–Segur (AKNS) scheme and the corresponding Darboux transformation is constructed to derive the soliton solution. One and two soliton solutions are generated. Using two soliton solutions of 3 CNLS equation, nonlinear tunneling of soliton for both with and without exponential background has been discussed. Finally cascade compression of optical soliton through multi-nonlinear barrier has been discussed. The obtained results may have promising applications in all-optical devices based on optical solitons, study of soliton propagation in birefringence fiber systems and optical soliton with distributed dispersion and nonlinearity management.     

各向异性介质中的椭圆空间光孤子特性

对矩形铅玻璃中椭圆孤子的形成进行了理论研究,在理论模型中引入各向异性衍射效应.采用变分法,得到了强非局域线性各向异性椭圆孤子的变分解.结果表明,各向异性衍射效应对椭圆孤子的形成有很大的影响.为了验证变分解的正确性,采用牛顿迭代法算出强非局域线性各向异性椭圆孤子的数值解,变分解和数值解符合得很好.     

(2+1)维光学孤子在饱和非线性介质中的模式特征

从非线性Schrdinger方程出发,应用数学解析的方法,详细讨论了在饱和非线性介质中(2+1)维空间光学孤子存在满足物理意义的自洽解的条件,给出数值计算所需要的边界条件。通过数值计算,给出了基模和一阶模在某一组参数下的部分模式的光场慢变包络、光强度的二维和三维分布的直观图形,以及相应能量(无量纲)。结果表明,孤子的存在不是任意的,而是依赖于一定的能量。当光脉冲能量不足以支持孤子的存在时,其解呈振荡形式,说明不存在孤子解。同时还给出介质的饱和参数、孤子在传播方向上的波矢k对孤子模式的影响等有意义的结论。     

非相干饱和光折变空间光孤子对的半解析研究

用函数级数展开方法讨论和计算了非相干饱和光折变空间孤子对,针对较普遍性,从几个方面论证了解的收敛性及其演化的稳定性.并首次从系统的计算和讨论中得出在饱和参量一定的光折变介质中,其孤波的特性受到一定的限制.     

非线性延时修正光纤孤子方程的稳态解问题Ⅱ.漂移型扭结孤波解

利用一种与Ｂｃｈｌｕｎｄ变换有关的方法严格求含非线性延时项光孤立子方程,得到了该方程的漂移型扭结孤波解,并讨论了解的极限性质和相关物理问题。最后指出了该方程在γ＝０处的参数不稳定性问题     

拉曼增益对双折射光纤中孤子传输特性的影响

本文采用考虑拉曼增益的耦合非线性薛定谔方程,利用分步傅里叶方法求解并仿真模拟了光孤子脉冲在不同性质的双折射光纤中传输时的演化过程.结果表明,拉曼增益可以有效抑制非线性耦合导致的孤子漂移,同时会导致光孤子脉冲峰值在传输时不断增大,产生拉曼放大效应.拉曼增益也可以有效抑制双折射光纤中传输的相邻光孤子之间的相互作用.     

非线性延时修正光纤孤子方程的稳态解问题Ⅰ.静态扭结孤波解

严格求解含非线性延时修正光纤孤立子方程,得到一类完全不同于光纤中已知的亮孤子和暗孤子的新型光学孤波解,并讨论了其物理含义及在光纤实验中观察这种扭结孤波的可能性。     

准光孤子特性及其通信技术研究

对准光孤子理论进行了研究，用一个合适的、持续的色散管理方法，从一个修正的非线性薛定谔方程得到一个精确解，用这个解构造一个非线性稳定的准光孤子脉冲。用数值模拟的方法得出了准光孤子和光孤子的波形。结果表明：准光孤子几乎具有光孤子的全部优点，其脉冲宽度比光孤子要小很多，并且准光孤子的脉冲宽度可以通过调节光纤的结构参数来进行调整，准孤子能够在光纤中稳定地实现长距离传输，而且能够很好地克服由孤子的固有特性造成的对通信容量的限制，所以准光孤子有望成为下一代通信系统的最佳信号载体。     

Optical zoomeron as a result of beatings of the internal modes of a Bragg soliton

A new solution of two-wave Maxwell-Bloch equations has been obtained analytically and numerically. It describes the propagation of an oscillating nonlinear optical solitary wave, or optical zoomeron, in a one-dimensional periodic resonant Bragg structure. It has been shown that the appearance of large oscillations in the velocity and total amplitude of Bloch modes of the pulse is caused by beating of internal modes of the perturbed Bragg soliton.     

Effect of interaction strength on gap solitons of Bose--Einstein condensates in optical lattices

We have developed a systematic analytical approach to the study on the dynamic properties of the linear and the nonlinear excitations for quasi-one-dimensional Bose-Einstein condensate trapped in optical lattices. A novel linear dispersion relation and an algebraic soliton solution of the condensate are derived analytically under consideration of Bose-Einstein condensate with a periodic potential. By analysing the soliton solution, we find that the interatomic interaction strength has an important effect on soliton dynamic properties of Bose-Einstein condensate.     

C60溶液中的暗空间光孤子及其诱导的柔性光波导

利用Ａｒ^＋激光在C₆₀甲苯溶液中产生的自散焦效应观察到暗空间光孤子以及由它诱导出的柔性光波导现象．通过对非线性薛定谔方程的数值计算，模拟了暗空间孤子的形成过程，获得与实验相符的结果 关键词：     

孤子激光器的效率

有必要为评定孤子激光器引进一个质量指标:孤子效率。因此,孤子激光器总体效率的计算也应作相应的变化。高效率的孤子激光器所产生的高质量光孤子能为长途光通信准备良好的初条件。为此讨论了三种提高孤子效率的途径。     

10 Gbps optical soliton transmission link using in-line SOA on standard SMF at 1.3 μm

In this paper, 10 Gbps optical soliton transmission link using in-line semiconductor optical amplifiers (SOAs) for already installed standard single mode fibers (SMF) at 1.3 μm wavelength has been reported. The pattern effect and the impact of chirp on pulse propagation after amplification have been investigated. The observations are based on modeling and simulation optical soliton transmission link. Optical soliton pulse transmission over distances of the order of several hundreds of kilometers has been shown with and without initial chirp.     

全光非线性光孤子通信系统技术

近年来光孤子通信技术发展很快,各种新方案不断提出,各种系统设计与试验系统技术取得了重大突破,使光孤子通信向衫化迈进一大步,文章综述了光孤子通信技术的最新进展,分析了光孤子通信技术的发展趋势。     

Solutions for the propagation of light in nonlinear optical media with spatially inhomogeneous nonlinearities

In this paper, we present solutions for the nonlinear Schrödinger (NLS) equation with spatially inhomogeneous nonlinearities describing propagation of light in nonlinear media, under two sets of transverse modulation forms of inhomogeneous nonlinearity. The bright soliton solution and Gaussian solution have been obtained for one set of inhomogeneous nonlinearity modulation. For the other, bright soliton solution, black soliton solution and the train solution have been presented. Stability of the solutions has been determined by exact soliton solutions under certain conditions.     

强非局域非线性介质中的涡旋光孤子

满足强非局域条件时，光束在非局域非线性介质的传输过程由Snyder-Mitchell模型描述.在旋转柱坐标系下求解了Snyder-Mitchell模型，得到涡旋光孤子的自相似旋转解析解.结果表明，涡旋光孤子解在径向是惠特克函数与幂函数的乘积，光束的光强呈环形分布，光束绕光束中心旋转. 关键词： 非局域非线性介质 强非局域性 涡旋光孤子 惠特克函数     

Dispersion-managed soliton in optical fibers with zero average dispersion

A dispersion-managed optical system with stepwise periodic variation of dispersion is studied in the framework of a path-averaged Gabitov-Turitsyn equation. The soliton solution is obtained by means of iterating the path-averaged equation. The dependence of soliton parameters on dispersion map strength is investigated, together with the oscillating tails of the soliton.     

Exact Solutions to Extended Nonlinear Schrödinger Equation in Monomode Optical Fiber

By using the generally projective Riccati equation method, more new exact travelling wave solutions to extended nonlinear Schrödinger equation (NLSE), which describes the femtosecond pulse propagation in monomode optical fiber, are found, which include bright soliton solution, dark soliton solution, new solitary waves, periodic solutions, and rational solutions. The finding of abundant solution structures for extended NLSE helps to study the movement rule of femtosecond pulse propagation in monomode optical fiber.     

Long-range interaction of picosecond solitons through excitation of acoustic waves in optical fibers

We present the theory of electrostrictional interaction of soliton pulses in optical fibers. Solitons excite acoustic waves propagating in the direction transverse to the fiber axis. Scattering of optical radiation on these waves leads to a timing jitter of the optical pulses arrival time. We consider this effect as nonlinear self-scattering of light on acoustic waves. Because of the fact that a value of acoustic lifetime can reach a value of about 100 ns self-scattering on acoustic waves can be observed for a single optical pulse as well as for an optical pulse sequence as a whole. The value of single soliton self-frequency shift due to excitation of acoustic waves as a function of soliton duration have been obtained. For soliton duration _sol > 14 ps an acoustic wave soliton self-frequency shift is larger than the Raman soliton self-frequency shift.The obtained theoretical results describe well the long-range interaction of soliton pulse trains in an optical fiber. The value of bit error rate due to electrostrictional interaction of optical pulses in high bit rate, ultra long soliton communication systems have been obtained.     

QED corrections and chemical properties of Eka-Hg

In this paper, we present a family of coupled higher-order nonlinear Schr?dinger equation describing the optical soliton pulse propagating in inhomogeneous optical fiber media. The exact N-soliton solution and its characteristics of stabilities and novel elastic collision properties are studied in detail. As an example, we give the relative numerical evolutions by a soliton control system to discuss the pulses propagation characteristics.