莫阿光纤光栅的光谱特性及其在光分插复用器中的应用

从耦合模理论出发，结合莫阿光纤光栅的结构特性，运用分段均匀和传输矩阵法对幕阿光纤光栅的光谱特性进行了理论分析和数值计算；详细研究了线性啁啾莫阿光纤光栅的滤波特性，在此基础上，提出了一种新型的基于线性啁啾莫阿光纤光栅的光分插复用器的结构设计方案。     

新型聚合物分散液晶材料研制的电控体全息光栅

报道了聚合物分散液晶材料全息光栅元件的研制，并研究了聚合物分散液晶材料光栅的衍射特性及电控开关特性。该光栅结合了聚合物分散液晶材料的电控光开关特性和全息光栅的优点，在光通信器件、可调窗口、液晶显示等领域具有广泛的应用前景和巨大的潜在生产力。     

光纤光栅带内色散特性的离散时域分析

采用多层介质的离散传输线模型表型光纤光栅响应特性，并利用数字信号处理方法对光纤光栅的相位特性进行了分析，研究了用于密集波分复用窄带滤波的变迹光纤光栅的带内色散特性，表明对称变迹光纤光栅的幅度响应与相位响应之间满足希尔伯特变换关系，幅度响应越接近理想的矩形，带内色散越大。并采用耦合模理论数值计算了对称变迹的光纤光栅的反射相位响应和带内群时延情况，验证了分析结果。     

低串扰的多波长光纤光栅色散补偿器

分析了光纤光栅色散补偿系统中的串扰，并比较了几种常用的多波长光纤光栅色散补偿器的串扰特性，结合串联的窄带光纤光栅和取样光纤光栅的优点，提出一种抑制光纤光栅色散补偿系统串扰的方法.它通过在邻近信道间引入随机时延差，既能改善取样光纤光栅的线性串扰特性，又能抑制交叉相位调制效应和四波混频等非线性串扰.使用该方法可以得到具有低串扰的多波长光纤光栅色散补偿器.     

光栅不理想特性对不同调制码型的光传输系统的影响

分析了光纤光栅不理想特性的产生机理，对以啁啾光纤光栅为色散补偿器的10Gb/s光传输系统中，啁啾光纤光栅的不理想特性包括群时延纹波、反射纹波及光栅通带带宽对采用归零码(RZ)、非归零码(NRZ)以及载波抑制归零码(CSRZ)三种调制格式传输系统性能的影响进行了详细的数值分析和比较. 同时进行了基于光纤光栅色散补偿的1500km无误码传输实验，通过对啁啾光纤光栅由于不理想特性的差别而导致对实际传输系统不同信道性能影响的比较，进一步验证了仿真分析的正确性. 关键词： 光传输 啁啾光纤光栅 不理想特性 调制码型     

基于槽形函数拟合的刻划光栅衍射特性分析方法

作为对光栅刻划工艺的理论指导，提出了一种基于槽形函数拟合的机械刻划光栅衍射特性分析方法，解决了高刻线密度光栅衍射效率测量值与理论值偏差较大的问题.以刻线密度为1200l/mm的紫外光栅为例，对光栅主截面上的实际槽形纵横坐标扫描取值，进而拟合出槽形函数，经理论计算找到了导致衍射效率偏低的原因，并通过改进工艺，使光栅衍射效率提高了约20%. 关键词： 刻划光栅 槽形函数拟合 衍射特性 分析方法     

基于啁啾光纤光栅的掺Yb3+光纤激光器

啁啾光纤光栅可用于光纤色散补偿及脉冲压缩。该文从光纤光栅的耦合模方程出发，对中心波长为1053nm的啁啾光纤光栅进行了研究，数值分析了啁啾光纤光栅长度、耦合函数、啁啾系数、切趾技术等因素对啁啾光栅反射率、时延特性、色散特性、压缩特性的影响，并将结论应用于掺镱超短脉冲光纤激光器的设计，提出基于啁啾光纤光栅的全光纤环形腔连接方案。与其它非全光纤结构光纤激光器相比，这种结构具有更小的损耗和更高的效率。     

光子晶体理论应用于光纤布拉格光栅的研究

将光纤布拉格光栅近似为一维光子晶体，研究光栅的能带结构和光学传输特性。利用平面波展开法对光子晶体进行理论研究，将研究方法移植到光纤布拉格光栅上，并对其进行数值分析，得到光栅的传输特性。研究表明，光栅反射谱有多个反射峰，峰值中心频率是基频的整数倍，而且峰值处存在光子带隙，反射峰带宽对应光子带隙宽度，中心频率和带宽随光栅长度、高介电常量材料占空比、调制深度而变化。结果与传统的耦合模理论一致。     

高频CO2激光脉冲写入的相移长周期光纤光栅

运用矩阵传输法，并结合长周期光纤光栅的模式耦合理论，阐述了相移长周期光纤光栅传输光谱的形成原理.利用高频CO2激光脉冲制作出相移长周期光纤光栅.该方法仅需用计算机绘制光栅结构图形，再由计算机依照此图形控制CO2激光器对普通光纤曝光，就可自动完成光纤光栅的制作.实际制造出一条相移长周期光纤光栅，在1520~1570 nm和1610~1670 nm波长范围内分别呈现出相移图样，相移波段的通带中心波长分别为1546 nm和1640 nm.对光栅进行温度测试，观测1610~1670 nm范围内相移光谱的变化，发现相移光栅的通带及阻带中心波长具有相同的温度变化系数，其数值为0.064 nm/℃，另外又测试了光栅的应变特性，灵敏度约为－0.51 nm/mε.因此在利用光栅温度特性或应变特性做传感的过程中，可以仅测试通带中心波长的变化，实现低成本多样化的测量手段.     

单程拼接光栅压缩池系统中光栅缝隙的衍射效应

利用傅里叶光学方法，建立了一个基于远场的高斯光束数学模型.该模型能够分析单程拼接光栅压缩池系统中拼接光栅的缝隙对远场时空特性的影响.数值模拟得到了不同系统参数时远场时空特性关于缝隙宽度的变化曲线.揭示了光栅缝隙对远场的影响规律：对于双光栅拼接的压缩池系统，若只是压缩池中第二块光栅为拼接光栅，则光栅缝隙导致远场时域略微变窄；若压缩池中的两块光栅都是拼接光栅，则缝隙导致远场时域展宽或者变窄，依赖于入射脉冲的傅里叶变换极限型脉宽大小；光栅缝隙对于远场强度分布的影响是导致中央主峰能量下降，并且出现两个子峰，子峰的峰值随缝宽的增大而增大.     

Geometry and Elasticity of Strips and Flowers

We solve several problems that involve imposing metrics on surfaces. The problem of a strip with a linear metric gradient is formulated in terms of a Lagrangian similar to those used for spin systems. We are able to show that the low energy state of long strips is a twisted helical state like a telephone cord. We then extend the techniques used in this solution to two–dimensional sheets with more general metrics. We find evolution equations and show that when they are not singular, a surface is determined by knowledge of its metric, and the shape of the surface along one line. Finally, we provide numerical evidence by minimizing a suitable energy functional that once these evolution equations become singular, either the surface is not differentiable, or else the metric deviates from the target metric.     

Time and Classical and Quantum Mechanics: Indeterminacy Versus Discontinuity

It is postulated there is not a precise static instant in time underlying a dynamical physical process at which the relative position of a body in relative motion or a specific physical magnitude would theoretically be precisely determined. It is concluded it is exactly because of this that time (relative interval as indicated by a clock) and the continuity of a physical process is possible, with there being a necessary trade off of all precisely determined physical values at a time, for their continuity through time. This explanation is also shown to be the correct solution to the motion and infinity paradoxes, excluding the Stadium, originally conceived by the ancient Greek mathematician Zeno of Elea. Quantum Cosmology, Imaginary Time and Chronons are also then discussed, with the latter two appearing to be superseded on a theoretical basis.     

Sites and tours in orthoalgebras and orthomodular lattices

A block of an orthoalgebra (or of an orthomodular lattice) is a maximal Boolean subalgebra. A site is the intersection of two distinct blocks. L is block (site)-finite if there are only finitely many blocks (sites). We introduce a certain type of subalgebra of an orthoalgebra which is a subortholattice if the orthoalgebra is an ortholattice (and therefore an orthomodular lattice) and which is block finite if the orthoalgebra is site finite. The construction yields a cover of a site-finite orthoalgebra or orthomodular lattice L by block-finite substructures of the same type and having the same center as L. Every site-finite orthomodular lattice is commutator finite.In memory of Charles H. Randall.     

Definitions and control of the CEP and CEO

The definitions of the carrier to envelope phase (CEP) and carrier to envelope offset (CEO) arc reviewed. It is pointed out that a unique separation of the field of an ultrashort pulse in a “carrier” and “envelope” is not always possible for ultrashort pulses. Another definition is proposed for pulses of a few optical cycles, that is not dependent on the notion of “carrier” and “envelope.” The carrier to envelope offset (CEO) is a frequency, generally defined as the ratio of the change in CEP between pulses, to the pulse (temporal) spacing. It is shown that the CEO exists for trains of long pulses, for which the CEP cannot be measured. Methods of measuring the CEO of a mode-locked laser are proposed. It is shown that MQW have a locking tendency on the CEO of two pulse trains.     

Large Deviation Principles and Complete Equivalence and Nonequivalence Results for Pure and Mixed Ensembles

We consider a general class of statistical mechanical models of coherent structures in turbulence, which includes models of two-dimensional fluid motion, quasi-geostrophic flows, and dispersive waves. First, large deviation principles are proved for the canonical ensemble and the microcanonical ensemble. For each ensemble the set of equilibrium macrostates is defined as the set on which the corresponding rate function attains its minimum of 0. We then present complete equivalence and nonequivalence results at the level of equilibrium macrostates for the two ensembles. Microcanonical equilibrium macrostates are characterized as the solutions of a certain constrained minimization problem, while canonical equilibrium macrostates are characterized as the solutions of an unconstrained minimization problem in which the constraint in the first problem is replaced by a Lagrange multiplier. The analysis of equivalence and nonequivalence of ensembles reduces to the following question in global optimization. What are the relationships between the set of solutions of the constrained minimization problem that characterizes microcanonical equilibrium macrostates and the set of solutions of the unconstrained minimization problem that characterizes canonical equilibrium macrostates? In general terms, our main result is that a necessary and sufficient condition for equivalence of ensembles to hold at the level of equilibrium macrostates is that it holds at the level of thermodynamic functions, which is the case if and only if the microcanonical entropy is concave. The necessity of this condition is new and has the following striking formulation. If the microcanonical entropy is not concave at some value of its argument, then the ensembles are nonequivalent in the sense that the corresponding set of microcanonical equilibrium macrostates is disjoint from any set of canonical equilibrium macrostates. We point out a number of models of physical interest in which nonconcave microcanonical entropies arise. We also introduce a new class of ensembles called mixed ensembles, obtained by treating a subset of the dynamical invariants canonically and the complementary set microcanonically. Such ensembles arise naturally in applications where there are several independent dynamical invariants, including models of dispersive waves for the nonlinear Schrödinger equation. Complete equivalence and nonequivalence results are presented at the level of equilibrium macrostates for the pure canonical, the pure microcanonical, and the mixed ensembles.     

Modeling photothermal and acoustical induced microbubble generation and growth

Previous experimental studies showed that powerful heating of nanoparticles by a laser pulse using energy density greater than 100 mJ/cm², could induce vaporization and generate microbubbles. When ultrasound is introduced at the same time as the laser pulse, much less laser power is required. For therapeutic applications, generation of microbubbles on demand at target locations, e.g. cells or bacteria can be used to induce hyperthermia or to facilitate drug delivery. The objective of this work is to develop a method capable of predicting photothermal and acoustic parameters in terms of laser power and acoustic pressure amplitude that are needed to produce stable microbubbles; and investigate the influence of bubble coalescence on the thresholds when the microbubbles are generated around nanoparticles that appear in clusters.

We develop and solve here a combined problem of momentum, heat and mass transfer which is associated with generation and growth of a microbubble, filled with a mixture of non-vaporized gas (air) and water vapor. The microbubble’s size and gas content vary as a result of three mechanisms: gas expansion or compression, evaporation or condensation on the bubble boundary, and diffusion of dissolved air in the surrounding water. The simulations predict that when ultrasound is applied relatively low threshold values of laser and ultrasound power are required to obtain a stable microbubble from a single nanoparticle. Even lower power is required when microbubbles are formed by coalescence around a cluster of 10 nanoparticles. Laser pulse energy density of 21 mJ/cm² is predicted for instance together with acoustic pressure of 0.1 MPa for a cluster of 10 or 62 mJ/cm² for a single nanoparticle. Those values are well within the safety limits, and as such are most appealing for targeted therapeutic purposes.     

Inter-state coupling and definitions of bright and dark states

Contrary to a standard definition of diabatic states (i.e., those without momentum-dependent coupling), based on the construction from adiabatic ones, we defined diabatic states as bright and dark states of a given experiment. Namely, they are defined as states providing maximum, respectively, zero value of electronic transition dipole moments projected to a given polarization vector. Second, the state from (or to) which the optical transition is performed is not from the space of investigated electronic excited state manifold, but it is chosen by the observer. It is shown, for this case, that the inter-state coupling is a general function of vibrational coordinates. The explicit dependence of the inter-state coupling on vibrational coordinates is particularly important for system with strong Stokes shift. The role of exact definitions of bright and dark states as well as the inter-state coupling is discussed with respect to the coherent structure of electronic population observed in optical spectroscopy.     

Stress fluctuations and elasticity in one- and two-component cubic crystals

The elastic constants of the Lennard-Jones system and a binary repulsive particle system (in 1:13 composition) obeying the Weeks-Chandler-Andersen (WCA) potential (WCA2-AB13 system) have been computed using the stress fluctuation formalism by equilibrium molecular dynamics simulations. The systems are under finite fixed pressures. The evolution of the elastic moduli as a function of the temperature is characterised. In both systems, the melting transition is signalled by a jump of the shear modulus, in consistence with the behaviour of the specific volume. At zero temperature, while the elasticity is totally affine for the Lennard-Jones face-centered cubic (fcc) crystal, it clearly contains a non-affine part for the AB13 cubic superlattice. The evolution of the non-affine elasticity as a function of the temperature is investigated, and its behaviour is compared to that of a typical glass-former.     

Geometry and Forces in Relativistic and Pre-Relativistic Theories

It has been shown elsewhere that in the case of relativistic theories, there exists a local differential-topological criterion which distinguishes sharply between geometry and forces. This criterion is also epistemologically effective. In this paper, we explain why this local criterion fails in the pre-relativistic context. The principal reason for the difference is that the causal structure is determined by a quadratic function of 3-velocity in the relativistic case and by a linear function of 3-velocity in the pre-relativistic case.