具有几个光振荡周期长度的飞秒激光脉冲在线性色散介质中的传输

给出了描写具有几个光振荡周期长度的飞秒激光脉冲在线性色散介质中传输方程的解。对脉冲的传输特性进行了数值摸拟 ,分别考察了来源于电子和晶格的正常和反常群速色散对脉冲展宽和脉冲形状畸变的影响。     

光子晶体光纤中飞秒激光脉冲传输研究

为更精细地描绘飞秒光脉冲在光子晶体光纤中的传输和演化,用分步傅里叶方法求解广义非线性薛定谔方程(GNSE)的基础上,研究了光纤参量随脉冲峰值频移的变化.模拟了飞秒光脉冲在光子晶体光纤中传输和演化的过程.研究发现：光纤色散和强非线性对飞秒脉冲在光子晶体光纤中传输、演化以及超连续谱的展宽有很大影响.     

飞秒光孤立波解传输的稳定性分析

针对高阶非线性薛定谔方程任意参量下的飞秒光孤立波解，用数值演化方法考察了该光脉冲在受到各种初始扰动时的稳定性。结果表明：当飞秒光脉冲受到振幅及波形扰动时可以稳定传输，对于随机噪声及啁啾的扰动，在一定范围内也可传输，这有可能为进一步实现飞秒光脉冲在光纤中的无畸变传输提供一定的理论依据。     

高阶非线性效应对极大压缩脉冲动力学的影响

基于Hirota方程的Peregrine解,讨论光学传输系统中Peregrine怪波的动力学行为,研究了高阶非线性效应对极大压缩飞秒脉冲动力学的影响。结果表明从极大压缩脉冲提取的高功率飞秒脉冲能够在光纤中稳定地传输。这给高功率脉冲的稳定传输提供了一个理论依据,具有非常重要的实际意义。     

亚皮秒光脉冲在密集色散管理光纤中的传输特性

文章从包含高阶效应的非线性薛定谔方程出发,基于一种二阶和三阶色散都作了完全补偿(零路径平均色散)的光纤级联系统模型,用数值法对亚皮秒(几百飞秒)高斯光脉冲在密集色散管理光纤(放大周期远远大于色散补偿周期,La>>Lc)中的传输特性做了研究.结果表明啁啾化亚皮秒光脉冲在短周期色散补偿光纤中可以实现稳定传输.色散管理的密集化程度越高,即色散补偿周期越短,光脉冲在光纤中传输时的呼吸度越小,前后脉冲间的相互作用也越弱,有利于提高光纤传输系统的性能.此外,由于色散管理孤子的系统功率较小,因此高阶非线性项的影响不大.     

基于光纤中超短脉冲非线性传输机理与特定光谱选择技术的多波长飞秒激光的产生

高集成、高可靠性宽调谐飞秒激光源在超快光谱学、量子光学及生物成像等研究与应用领域具有重要价值.如在生物多光子显微成像中,具有适中能量的宽调谐飞秒激光源不仅可满足多种生物组织荧光激发所需的峰值功率与激发波长,而且也可以显著提升非线性荧光产生效率、成像分辨率以及增大成像穿透深度.采用自主研发的高可靠性全保偏光纤飞秒激光器作为抽运源,基于低色散光纤中高峰值功率飞秒激光脉冲非线性传输引起的光谱加宽机制,本文开展了多波长全光纤飞秒激光产生技术研究.通过采用中心波长在980, 1000,1050, 1070与1100 nm的带通滤波片选择性地对单模光纤输出光谱中最左边与最右边光谱旁瓣进行滤波,在上述中心波长处分别可获得203, 195, 196, 187与194 fs的激光输出.本文提出的基于全光纤飞秒激光脉冲在单模光纤中非线性传输引起的光谱加宽机制与特定光谱选择技术的实验方案为高集成、高可靠性宽调谐飞秒激光源的实现提供了新的研究途径.     

高非线性光子晶体光纤中飞秒脉冲的传输特性和超连续谱产生机制的实验研究及模拟分析

用实验和数值模拟两种方法研究了高非线性光子晶体光纤中飞秒激光脉冲的传输特性和超连续谱的产生机理，给出了抽运脉冲在三种不同中心波长情况下输出光谱展宽并形成超连续谱的实际测量及理论模拟结果.研究表明：在零色散波长抽运时，光谱展宽以自相位调制为主，同时三阶色散的影响明显，传输脉冲在时域内出现振荡次峰.而在反常色散区抽运时，光谱展宽的初期以自相位调制为主，随后根据抽运功率的不同孤子自频移、高阶光孤子的裂变和四波混频效应会逐渐增强，进而成为光谱展宽的主要原因.与此相应，在时域中能明显看到孤子的形成和红移，飞秒传输脉 关键词： 光子晶体光纤 高非线性光子晶体光纤 飞秒脉冲激光 超连续谱     

超高速分布放大光孤子传输系统分析

利用微扰理论方法推导了飞秒光孤子脉冲在具有一定带宽限制的分布放大光纤传输系统中传输时，脉冲宽度和频移的变化方程，此方程有稳态解，并得到稳定传输时，脉冲宽度及频移的解析表达式。     

光子晶体光纤非线性光谱特性的理论与实验研究

光子晶体光纤具有特殊的导光机制和结构可调性,可以产生奇异的色散特性及高非线性,为非线性光纤光学领域的研究提供了新的条件。受多种非线性光学效应的共同作用,在不同泵浦光脉冲参数条件下,不同结构参数及传输特性的光子晶体光纤能产生丰富的非线性光谱。利用分步傅里叶方法求解非线性薛定谔方程,模拟飞秒激光脉冲在光子晶体光纤中的传输过程,获得输出光谱与入射光脉冲参数(泵浦光峰值功率P、泵浦光波长λ、光脉冲形状、光脉冲宽度T_FWHM)、光纤结构参数(孔间距Λ、空气填充比d/Λ、光纤长度z)、传输特性(色散、非线性系数)的关系,分析拉曼孤子、色散波、自相位调制等非线性效应产生的光谱特性。利用光子晶体光纤包层节区进行非线性光学实验研究,获得了孤子波和色散波的宽带光谱输出。理论分析与实验测量的光谱中都包括了波长0.5 μm附近可见光波段的蓝移色散波、0.82 μm波段的剩余泵浦光、1.1 μm波段的孤子波、2 μm附近的红移宽带色散波。理论分析与实验测量结果一致,阐明光子晶体光纤中非线性光谱产生的物理原理,实现了对宽带光谱的可控输出,为高非线性光子晶体光纤的结构设计、制备及非线性光谱的应用研究奠定基础。     

新型全光纤高能量飞秒光脉冲源的数值模拟

数值模拟了自相似脉冲的产生与压缩,得到一种产生高能量飞秒光脉冲的新方法.结果表明:利用掺铒光纤对光脉冲进行自相似传输,可得到含线性频率啁啾的高能量自相似光脉冲;自相似光脉冲经过空芯光子带隙光纤的一级线性压缩和高非线性光纤的二级非线性压缩,可获得高峰值功率的飞秒光脉冲;压缩过程中存在最佳光纤长度;喇曼自频移和自陡效应对脉冲压缩产生不利影响.     

New Ans(a)tze for Obtaining Exact Solutions of Nonlinear Schr(o)dinger-Type Equation

We propose two simple ans(a)tze that allow us to obtain different analytical solutions for two generalized versions of the nonlinear Schr(o)dinger equation, such as the averaged dispersive-managed fiber system equation and the extended nonlinear Schr(o)dinger equation which describe the femtosecond pulse propagation in monomode optical fiber.Among these solutions we can find solitary wave and periodic wave solutions representing the propagation of different waveforms in nonlinear media.     

New Ansaetze for Obtaining Exact Solutions of Nonlinear Schroedinger-Type Equation

We propose two simple ansaetze that allow us to obtain different analytical solutions for two generalizeal versions of the nonlinear Schrodinger equation, such as the averaged dispersive-managed fiber system equation and the extended nonlinear Schrodinger equation which describe the femtosecond pulse propagation in monomode optical fiber. Among these solutions we can find solitary wave and periodic wave solutions representing the propagation of different waveforms in nonlinear media.     

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.     

Self-action dynamics of ultrashort electromagnetic pulses

The equation generalizing the nonlinear Schrödinger equation to the case of pulses with a duration of few field oscillation periods is analyzed. A change in the effective parameters (centroid, duration, and width) of the wave field on the pulse propagation path are determined by the moments method. The collapse of spatial structure is shown to occur, and its formation associated with the steepening of the pulse leading edge are numerically studied.     

Peculiarities of the ionization of many-electron systems and generation of attosecond pulses in ultrashort laser fields

The ionization of a model two-electron atom in the field of a strong ultrashort laser pulse is studied by numerical integration of the nonstationary Schrödinger equation describing the dynamics of a quantum system in the field of an electromagnetic wave. Pecularities of the two-electron ionization are analyzed for pulses whose duration amounts to one to two periods of oscillation of the electric field of the wave at different frequencies of the incident radiation. For extremely short pulses, the double ionization is found to be suppressed. This effect is caused by the finiteness of the interelectron energy exchange time during the laser action. Peculiarities of the generation of high-order harmonics and single XUV attosecond pulses upon ionization of atoms by laser pulses, whose duration is within one to two optical cycles, are investigated.     

Excitation of terahertz surface polaritons in a cylindrical waveguide by femtosecond laser pulses

Generation of terahertz surface polaritons in homogeneous round cross-section plasma waveguides upon nonlinear optical rectification of femtosecond laser pulses is analyzed theoretically. It is assumed that nonlinear polarization inducing a surface electromagnetic wave is formed at the waveguide boundary in a thin layer of the nonlinear dielectric that surrounds the waveguide. The efficiency of the femtosecond radiation conversion into surface polaritons is studied as a function of the waveguide radius and duration of the exciting laser pulse.     

Mode Structure and the Envelope of a Short Pulse in a Graded-Index Optical Fiber with a Longitudinal Inhomogeneity and a Spatial Bending

We consider propagation of a short optical pulse in an optical fiber whose refractive index is strongly dependent on the radial coordinate and is weakly dependent on the longitudinal coordinate with allowance for the possible weak spatial bending of the fiber axis. The three-dimensional nonlinear wave equation modelling the pulse propagation is solved asymptotically with respect to a small parameter specifying the order of magnitude of the pulse amplitude. A relationship between the propagating modes and the eigenvalues and eigenfunctions of the singular Sturm-Liouville problem is established. The pulse propagation is shown to have three scales: the high-frequency carrier is modulated by the envelope which evolves in a two-scale manner and is described by a nonlinear Schrödinger equation whose coefficients depend on the longitudinal coordinate. The transverse distribution of the wave field and the envelope soliton are obtained in terms of elementary functions for several types of transverse and longitudinal inhomogeneities of the fiber. The possibility of controlling the pulse parameters by varying the transverse and longitudinal inhomogeneities of the fiber is pointed out.     

连续波微扰下飞秒光孤子的传输特性研究

给出了描述连续波扰动下飞秒光脉冲在光纤系统中传输的微扰高阶非线性薛定谔方程,通过矩法和微扰理论分析了飞秒亮孤子与连续波相互作用的特性,并利用龙格-库塔积分和分步傅里叶方法进行了数值模拟.结果表明,连续波微扰对光纤孤子通讯系统是十分有害的,在实际通讯过程中应当尽量避免连续波的渗入.     

Numerical simulation of propagation of a femtosecond optical soliton in a single-mode fiber with allowance for the imaginary part of Raman response

We consider the effect of Raman inertial response of a medium on the stability of a first-order femtosecond soliton. Numerical solution to the high-order nonlinear Schrödinger equation, with the complex Raman term, describing propagation of a femtosecond optical soliton in a single-mode fiber, is obtained. It is shown that a soliton solution of the high-order nonlinear Schrödinger equation exists under certain conditions imposed on the equation coefficients. These conditions lead to limitations on the wavelength, fiber type, and the highest energy. Results of numerical solutions are in agreement with available experimental data.