单模光纤色散的解析形式

根据波导标量解本征值方程及其递推关系,提出一种利用Gloge关系求解单模光纤中波导色散的理论方法,给出了色散的解析形式,通过分析归一化传输常数的近似解与精确解间的差别论证了这种解析法具有精确求解的计算精度,给出普通单模光纤（G．652）光纤色散的实验数据,并与计算的色散解析解曲线加以比较,二者达到极好的吻合,利用所得到的结果,分析了数值微分法和经验公式的计算精度。     

由场分布求单模光纤的波导色散

本文提出计算单模光纤波导色散的一种新的解析方法。对于阶跃单模光纤,由准确的电场分布导出的波导色散计算公式,较Sansonetti的公式更精确。     

偏振模色散矢量的研究

研究了无损光纤的密勒矩阵,进而得出了偏振模色散矢量的解析表达式、主偏振态对应的斯托克斯矢量的解析表达式,以及高阶偏振模色散矢量的解析表达式.这些解析表达式是由光纤参数决定的.讨论了局部偏振模色散矢量与整体偏振模色散矢量的关系,讨论了利用偏振模色散矢量进行偏振模色散补偿的原理.引入了偏振模色散补偿元件的偏振模色散补偿矢量C,具体计算了正规的非圆光波导类的补偿元件的C.从理论上证明了仅仅利用一个正规的非圆光波导类的补偿元件,例如一根保偏光纤或是一个双折射晶体,是不能实现偏振模色散补偿 关键词： 偏振模色散 密勒矩阵 色散补偿 主偏振态斯托克斯矢量     

控制色散的波导结构分析

色散控制在光纤通信中越来越重要,从低速率到高速率,从单波长SDH到多波长DWDM,色散控制要求越来越严.通过对不同应用的光纤波导结构的制造、性能测试和分析,指出了波导结构设计与光纤衰减、模场直径、弯曲损耗和波导色散等的关系.这些实践经验可以指导光纤的设计与制造.     

光纤波导色散的比例性质研究

基于麦克斯韦方程组的比例性质,讨论了光纤波导色散的比例性质,并对普通光纤、Bragg光纤和光子晶体光纤的波导色散进行了理论研究。以Bragg光纤为例,提出了一种根据波导色散的比例性质灵活设计光纤色散特性的方法。     

集成光学 集成光学、波导理论

TN252 2006032260光纤波导色散的比例性质研究=Scaling properties of thewaveguide dispersionin fibers[刊,中]/缪萍(北京交通大学理学院.北京(100044)) ,曾涛…∥光学技术.—2006 ,32(2) .—304-307基于麦克斯韦方程组的比例性质,讨论了光纤波导色散的比例性质,并对普通光纤、Bragg光纤和光子晶体光纤的波导色散进行了理论研究。以Bragg光纤为例,提出了一种根据波导色散的比例性质灵活设计光纤色散特性的方法。图5参12(严寒)TN252 2006032261硅基二氧化硅波导和SOI脊型波导应力双折射研究=A-nalysis of stress birefringence for si…     

高折射率芯Bragg光纤的色散特性研究

应用超格子模型分析了高折射率芯Bragg光纤的色散特性，讨论了Bragg光纤的色散的比例性质以及光纤的芯径、包层周期、填充率与波导色散的关系，并利用这些关系举例实现了Bragg光纤在1.55μm附近的宽带色散平坦. 关键词： Bragg光纤 模式 色散 波导色散     

等效折射率模型研究光子晶体光纤的色散特性

应用等效折射率模型对折射率导模光子晶体光纤的群速度色散特性进行了详细的讨论。由于光子晶体光纤由单一材料(SiO2)制成,光纤的波导色散决定了总色散,因此讨论中将群速度色散分解为波导色散和材料色散,研究了波导色散与光子晶体光纤的结构参量孔距∧、相对孔径f的关系。分析表明,在f一定的情况下,光子晶体光纤的波导色散与孔距∧的关系符合麦克斯韦方程的比例性质;而在孔距∧确定的情况下,光子晶体光纤的波导色散的零点、极小值点位置与f在所讨论的波长范围内存在线性关系。最后举例说明了通过调整光子晶体光纤的结构参量,可以灵活地设计其色散特性。     

各向异性内包层对双包层光纤特性影响的分析

提出了单轴各向异性材料为内包层，且其主轴沿光纤轴线（z轴）方向的双包层光纤模型，推出了矢量模特征方程，重点研究了主轴折射率比kcl对波导色散的影响，针对从矢量模特征方程求解波导色散因表达式极为复杂而无法直接求解的困难，提出了一种求解波导色散的有效方法，研究结果发现可以在不改变光波导结构参量的条件下，通过改变kcl可有效地改变光纤的波导色散，也分析了kcl、几何参量S、光学参量R对低次模的传输和截止特性的影响。研究结果为获得更为理想的色散补偿、色散平坦光纤及设计新型无源光器件提供了重要的依据。     

三包层WⅠ和WⅡ型单模光纤波导色散特性的研究

研究了三包层WⅠ和WⅡ型单模光纤的波导色散特性。结果发现在相同条件下，三包层WⅠ和WⅡ型单模光纤零色散点的调节范围比传统的双包层W型单模光纤明显增大。详细分析了几何参量P、Q和光学参量R1、R2对单模传输时的波导色散特性和低次模截止频率的影响。所得的研究结果为获得更为理想的色散补偿、色散平坦光纤及设计新型无源光器件提供了重要的依据。计算波导色散的方法可推广到多包层光纤。     

Visualization of type II fiber Bragg gratings induced in a birefringent fiber with an elliptical stress cladding

Experimental results on visualization of type II fiber Bragg gratings induced in a birefringent fiber with an elliptical stress cladding are presented. The gratings are recorded by a single pulse of an excimer KrF-laser by means of the phase-mask method. Images of the gratings are obtained in a bright field using contrasting techniques such as differential interference contrast and dark field. It is shown that single-pulse recording forms several type II Bragg gratings in the optical fiber. The spatial profile of these gratings corresponds to the phase mask period. Microcracks due to which type II gratings are induced are localized both on the boundaries between the fiber core and claddings surrounding it and at some distance from them.     

Thermal effects of photonic-bandgap fiber laser

A steady thermal model of photonic-bandgap fiber laser (PBFL) is presented. Temperature distribution in PBFL is analyzed by heat transfer equations and numerical finite-element method (FEM) separately. Thermal stress distribution caused by the temperature difference between the inner and outer claddings is calculated. The results show that the thermal stresses in this fiber structure are low less than the critical tensile stress in fused silica.     

A Tutorial Review on Fractal Spacetime and Fractional Calculus

This tutorial review of fractal-Cantorian spacetime and fractional calculus begins with Leibniz’s notation for derivative without limits which can be generalized to discontinuous media like fractal derivative and q-derivative of quantum calculus. Fractal spacetime is used to elucidate some basic properties of fractal which is the foundation of fractional calculus, and El Naschie’s mass-energy equation for the dark energy. The variational iteration method is used to introduce the definition of fractional derivatives. Fractal derivative is explained geometrically and q-derivative is motivated by quantum mechanics. Some effective analytical approaches to fractional differential equations, e.g., the variational iteration method, the homotopy perturbation method, the exp-function method, the fractional complex transform, and Yang-Laplace transform, are outlined and the main solution processes are given.     

He's variational iteration method applied to the solution of the prey and predator problem with variable coefficients

In this Letter, a mathematical model of the problem of prey and predator is presented and He's variational iteration method is employed to compute an approximation to the solution of the system of nonlinear differential equations governing the problem. The results are compared with the results obtained by Adomian decomposition method and homotopy perturbation method. Comparison of the methods show that He's variational iteration method is a powerful method for obtaining approximate solutions to nonlinear equations and their systems.     

弧长法在斜直井内管柱非线性屈曲分析中的应用

对于斜直井内底部-段管柱的后屈曲问题,基于受径向约束管柱的微分求积(DQ,Differential Quadrature)单元,构建了弧长迭代法.给出详细的迭代步骤和迭代初值的确定方法,对不同端部侧向约束条件下的管柱非线性屈曲进行迭代计算.并与现有文献中的近似解析解、实验结果和纯载荷增量迭代法的数值计算结果进行比较.结果显示,本文方法克服了有限单元法在处理管柱自重时的困难,同时能自动调节增量步长,跟踪管柱非线性后屈曲平衡路径的全过程.计算效率高、收敛性好、易于实施,可以用来分析斜直井内管柱的非线性屈曲问题.     

A spectral collocation algorithm for two-point boundary value problem in fiber Raman amplifier equations

A novel algorithm implementing Chebyshev spectral collocation (pseudospectral) method in combination with Newton’s method is proposed for the nonlinear two-point boundary value problem (BVP) arising in solving propagation equations in fiber Raman amplifier. Moreover, an algorithm to train the known linear solution for use as a starting solution for the Newton iteration is proposed and successfully implemented. The exponential accuracy obtained by the proposed Chebyshev pseudospectral method is demonstrated on a case of the Raman propagation equations with strong nonlinearities. This is in contrast to algebraic accuracy obtained by typical solvers used in the literature. The resolving power and the efficiency of the underlying Chebyshev grid are demonstrated in comparison to a known BVP solver.     

单模手征光纤研究

对圆芯和内外包层都为手征介质构成的双包层手征光纤（W型）进行了解求解,导出了模式场解及模式特征方程,然后用数值计算的方法研究了手征参数对模式的色散曲线和截止频率的影响,结果发现在双包层光纤的纤芯中引入手征或在单包层光纤的包层中引入手征,都可以实现单模工作。     

Comparing two iteration algorithms of Broyden electron density mixing through an atomic electronic structure computation

By performing the electronic structure computation of a Si atom, we compare two iteration algorithms of Broyden electron density mixing in the literature. One was proposed by Johnson and implemented in the well-known VASP code.The other was given by Eyert. We solve the Kohn-Sham equation by using a conventional outward/inward integration of the differential equation and then connect two parts of solutions at the classical turning points, which is different from the method of the matrix eigenvalue solution as used in the VASP code. Compared to Johnson's algorithm, the one proposed by Eyert needs fewer total iteration numbers.     

微腔型银修饰光纤SERS探针的制备及性能研究

提出了一种基于银修饰的微腔型光纤表面增强拉曼散射（SERS）探针,采用湿法检测,将光纤SERS探针直接放入待测溶液中,以罗丹明6G（R6G）溶液为探针分子,对所制备的光纤SERS探针进行远端实验性能研究。利用氢氟酸化学腐蚀的方法制备了一种微腔型光纤结构,通过控制氢氟酸的腐蚀时间得到了一系列不同腐蚀时间、不同微腔长度的光纤结构。实验研究了光纤结构的微腔长度对光纤SERS探针性能的影响,以浓度为10-3 mol·L-1的R6G溶液为探针分子,通过不断地优化纳米银溶胶与R6G溶液的混合顺序及比例,采用裸光纤微腔结构对混合溶液进行拉曼检测,发现当混合溶液的混合顺序及比例为先后混合等体积的纳米银溶胶和R6G溶液时,此时得到的混合溶液的拉曼信号增强性能最佳。利用得到的混合溶液去寻找拉曼信号增强效果最高时光纤微腔结构的结构参数,实验结果表明,在相同的实验条件下,当光纤放入氢氟酸中腐蚀时间为5 min时,此时光纤微腔结构的拉曼信号增强效果最佳。在显微镜下测量的多组腐蚀时间为5 min的光纤,其微腔长度平均约为81 μm。对得到的光纤微腔结构,采用制备过程可控的磁控溅射技术制备了一系列银纳米薄膜/多模光纤（Ag/MMF）的复合材料。当磁控溅射时间为10 min时,获得了光纤SERS探针（Ag/MMF-10）。实验以去离子水配制了不同浓度的R6G溶液,以不同浓度的R6G溶液为探针分子,Ag/MMF-10探针的远端检测限（LOD）低至10-7 mol·L-1。该光纤SERS探针拉曼信号的再现性光谱检测中显示各个特征峰的相对标准偏差（RSD）均小于10%。同时,该光纤SERS探针对浓度为10-6 mol·L-1的R6G溶液的增强因子（AEF）可高达2.64×106。实验结果表明所制备的银修饰的光纤SERS基底具有较高的灵敏度和良好的再现性。因此,该光纤SERS探针在生物医学检测、农残化学分析等痕量检测方面有潜在的应用价值。