Waveguide holograms: A new approach to hologram integration

A new class of holography is proposed, in which (1) the evanescent part of a guided wave, or (2) the guided wave in a thin-film hologram is utilized as the reference wave and/or the illuminating one. The hologram was designated as “wave-guide hologram” and has advantages in the possibility of integration, wide field of view, and compactness and high reliability of the reconstructing system. The possibility of the waveguide hologram has been proved through reconstruction experiments with a guided wave of a waveguide hologram recorded with a plane reference wave.     

A generic travelling wave solution in dissipative laser cavity

A large family of cosh-Gaussian travelling wave solution of a complex Ginzburg–Landau equation (CGLE), that describes dissipative semiconductor laser cavity is derived. Using perturbation method, the stability region is identified. Bifurcation analysis is done by smoothly varying the cavity loss coefficient to provide insight of the system dynamics. He’s variational method is adopted to obtain the standard sech-type and the not-so-explored but promising cosh-Gaussian type, travelling wave solutions. For a given set of system parameters, only one sech solution is obtained, whereas several distinct solution points are derived for cosh-Gaussian case. These solutions yield a wide variety of travelling wave profiles, namely Gaussian, near-sech, flat-top and a cosh-Gaussian with variable central dip. A split-step Fourier method and pseudospectral method have been used for direct numerical solution of the CGLE and travelling wave profiles identical to the analytical profiles have been obtained. We also identified the parametric zone that promises an extremely large family of cosh-Gaussian travelling wave solutions with tunable shape. This suggests that the cosh-Gaussian profile is quite generic and would be helpful for further theoretical as well as experimental investigation on pattern formation, pulse dynamics and localization in semiconductor laser cavity.     

A model of wave propagation in an inhomogeneous excitable meduim

Wave propagation in an inhomogeneous excitable medium is modeled by a two-dimensional, multi-state cellular automaton with absorbing boundary conditions. The inhomogeneity of the meduim affects the normal pattern of wave propagation and various phenomena like delayed propagation and circular wave formation are observed. The different types of wave propagation observed in our computer simulations are summarized in a phase diagram and the predictions of the stochastic models for two of the wave propagation phenomena are presented. This system has been suggested as a simple model of the atrioventricular (AV) node.     

一种便携式冲击波超压测试系统

针对现在军用和民用对爆破的测量需求,提出了一种基于现场可编程逻辑门阵列FPGA和ICP传感器的便携式冲击波超压测试系统。测试系统主要以FPGA为主控芯片,采用ICP压电传感器,包含信号放大调理电路,AD转换电路,存储器模块以及工作状态显示电路。系统具有光触发、节点互触发和多节点同步触发等多种触发方式,连续重触发功能,以及多次采集时FLASH分块存储功能。系统上位机是以VC++为开发工具设计的软件,用于对数据进行分析、处理和显示。实验结果表明系统工作可靠,操作简便,能够实现对爆破冲击波超压的测试。     

A nonlinear wave coupling algorithm and its programing and application in plasma turbulences

The fully developed turbulence can be regarded as a nonlinear system, with wave coupling inside, which causes the nonlinear energy to transfer, and drives the turbulence to develop further or be suppressed. Spectral analysis is one of the most effective methods to study turbulence system. In order to apply it to the study of the nonlinear wave coupling process of edge plasma turbulence, an efficient algorithm based on spectral analysis technology is proposed to solve the nonlinear wave coupling equation. The algorithm is based on a mandatory temporal static condition with the nonideal spectra separated from the ideal spectra. The realization idea and programing flow are given. According to the characteristics of plasma turbulence, the simulation data are constructed and used to verify the algorithm and its implementation program. The simulation results and experimental results show the accuracy of the algorithm and the corresponding program, which can play a great role in the studying the energy transfer in edge plasma turbulences. As an application, the energy cascade analysis of typical edge plasma turbulence is carried out by using the results of a case calculation. Consequently, a physical picture of the energy transfer in a kind of fully developed turbulence is constructed, which confirms that the energy transfer in this turbulent system develops from lower-frequency region to higher-frequency region and from linear growing wave to damping wave.     

微扰法解由正弦波驱动的非线性漂移波的分岔

在以驱动波相速度运动的坐标系中,用微扰法讨论。在正弦波驱动下的非线性漂移波的分波方程。结果表明,在文献[1]中观察到的波包能量的滞后分岔和由定态向周期态的分岔可以统一地解析描述,它们分别对应某一非线性共振模式在时间维上的鞍结点分岔和Hopf分岔。波包能量失稳的频率是该模式的本征频率,除多普勒移动外,它的大小还因非线性效应而不同于其在实验室坐标系中的线性值。 关键词：     

求近似波函数的一种方法

设H为量子体系的哈密顿算符,以算符(λ-H)和(H-λ)^-1作用于近似波函数ψ_k⁽⁰⁾。我们证明了,如果作用得到的函数中φ_k在H的变量的整个区间是连续、有限和平方可积的,则它们是比ψ_k⁽⁰⁾更接近于本征态ψ_k的近似波函数。由φ_k计算H的平均值接近于以{ψ_k⁽⁰⁾}为无微扰态的二级微扰的计算值。用此法计算类氢离子的极化率,得到很好的结果。     

自然循环过冷沸腾流动不稳定性的实验研究

本文以氟里昂作工质，对自然循环过冷沸腾流动不稳定性进行了实验研究．实验过程中发现自然循环系统内可能发生高频脉动和低频脉动二种类型的过冷沸腾流动不稳定性．通过实验研究揭示了这二种类型流动不稳定性的发生机理，证实高频脉动属于声波型脉动，低频脉动属于密度波型脉动．通过实验得出了判断系统稳定性的界限，并使用积分方程无因次分析方法得出了预测密度波型流动不稳定性的经验公式．     

A solution of the Coulomb three-body problem

In this work, a final state wave function is constructed which represents a solution of the three-body Schr?dinger equation. The formulated wave function is superimposed of one basic analytical function with various parameters. The coefficients of these basic functions involved in final state wave function can be easily calculated from a set of linear equations. The coefficients depend only on incident energy of the system. The process can also be prolonged for application to the problems more than three bodies.     

环形腔中激光振荡输出的横向斑图及向光学湍流的转变

在研究环形腔中激光振荡输出的分岔与混沌的基础上,采用耦合映象格子模型研究了其空间扩展系统的横向效应.数值模拟表明,随着参数的改变,空间扩展系统由均匀稳态、行波解向时空混沌演化.在一定的参数条件下,空间扩展系统从光场取入射平面波(均匀分布)开始,经对称破缺向光学湍流转变. 关键词： 横向斑图 时空混沌 湍流 数值模拟     

A study of transverse charge density of pions in relativistic quantum mechanics

The transverse charge density of pions is calculated based on relativistic quantum mechanics, where the pion is regarded as a quark-antiquark bound state. Corrections from the two spin-1/2 constituents and from the wave function of a quark and antiquark inside the bound system are discussed. The calculated results are compared to the results with a realistic effective Lagrangian approach as well as to that with a simple covariant model where the pion is regarded as a composite system with two scalar particles.     

Wave number selection in Rayleigh-Bénard convection: A numerical study

A phenomenological amplitude equation introduced earlier to calculate steady states of convection in a finite container, is studied numerically as a function of space and time. The effect of sidewalls on wave number selection is demonstrated by observing the response of the system to the sudden imposition of boundary conditions. The wave vectors of stable steady states are studied as a function of Rayleigh number near threshold, and it is shown that more than one state can be stable for fixed Rayleigh number.     

对于“包含在连续谱量子体系中的决定论性”一文的讨论

对于具有连续能谱的单粒子量子体系,“包含在连续谱量子体系中的决定论性”一文用所谓“双波函数”来描述处于能量本征态的粒子系综中各粒子的量子行为,并且在所谓的“等价定理”中称:双波函数描述在经典极限下将化为经典力学描述.然而,此描述所给出的系综力学量观测值统计分布的预言与通常量子力学不相容;并且,该文对其“等价定理”的证明是不正确的,这个“定理”实际上不成立 关键词： 连续能谱量子体系 双波函数 经典极限     

Bethe-Salpeter方程中位势的一类旋量结构

本文给出了在瞬时相互作用下自然J^PC分子三维波函数的最一般的旋量结构及其空间波函数所满足的标量方程组。它们分成三大类。给出了在唯象上合理的位势旋量结构的选择下三维波函数的旋量结构的解。 关键词：     

为实现准等熵压缩的波阻抗梯度飞片的实验研究

采用粉末冶金方法,制备出波阻抗沿厚度方向呈特定分布的WMoTi体系梯度飞片,在二级轻气炮上进行了梯度飞片击靶实验的初步研究.结果表明,利用梯度飞片可以实现对靶样品的准等熵压缩,击靶后产生的波阵面是平缓、连续上升的,明显不同于冲击压缩的陡峭波阵面,靶面压力峰值最高达到了167GPa.波阻抗按二次函数分布的梯度飞片能够获得最佳的击靶波形 关键词： 波阻抗梯度飞片 准等熵压缩     

A new type of quantum interferometer for gravitational wave detection

We present an orientational quantum interferometer sensitive to gravitational waves that is based on orienting quantum objects like molecules, atoms, or nuclei in space. The detection principle is based on inducing non-sphericity to the corresponding wave functions by light-pulses. In the field of a gravitational wave these objects then possess spectra that depend on their orientation in space. In our measurement scheme we investigate the adiabatic influence of a monochromatic gravitational wave over a quarter gravitational wave period and compare the corresponding frequencies at instances with maximal and vanishing gravitational wave elongation. We therefore explore the effect over a quarter gravitational wave period (or wavelength) and the resulting frequency shift scales with the binding energy of the system times the amplitude of the gravitational wave. In particular, a gravitational wave with amplitude h = 10⁻²³ will induce a frequency shift of the order of 110 μHz for an atom interferometer based on a 91-fold charged uranium ion.     

A general theory of harmonic wave propagation in linear periodic systems with multiple coupling

A general theory is presented of harmonic wave propagation in one-dimensional periodic systems with multiple coupling between adjacent periodic elements. The motion of each element is expressed in terms of a finite number of displacement coordinates. The nature and number of different wave propagation constants at any frequency are discussed, and the energy flow associated with waves having real, complex or imaginary propagation constants is investigated. Kinetic and potential energy functions are derived for the propagating waves and a generalized Rayleigh's Quotient and Rayleigh's Principle for the complex wave motion have been found. This is extended to yield a generalized Rayleigh-Ritz method of finding approximate, yet accurate, relationships between the frequencies and propagation constants of the propagating waves. The effect of damping is also considered, and a special class of “damped forced waves” is postulated for hysteretically damped periodic systems. An energy definition for the loss factor of these waves is found. Briefly considered is the two-dimensional multi-coupled periodic system in which a simple wave motion analogous to a plane wave propagates across the whole system.     

Adaptive feedforward control of a rectangular panel using a wave filter constructed with point sensors

This paper presents the wave filtering method for a rectangular panel, which is necessary for a feedforward wave control system, and clarifies its validity in the control system. Firstly, a wave solution of a rectangular panel is derived to describe the wave dynamics of the structure. This is followed by the derivation of the wave filtering equations that indicates the structure of the filter. It is found that the proposed wave filter consists of a modal filter, a rearrangement filter and a wave decomposition filter. Then, from the viewpoint of numerical simulations, the characteristics of the wave propagation in a rectangular panel as well as the accuracy of the wave fitter are verified. For the evaluation of the filter accuracy, the condition number is used as a performance index. Finally, an experiment on the adaptive feedforward control system using the wave filter is carried out, demonstrating that the reflected wave absorbing control enables the inactivation of vibration modes.     

A Variational Wave Function for 2p2-Orbitals in Atomic Negative Ions

A variational wave function is used to describe the binding energy of atomic negative ions using a two-electron system in the 2p²-state. Each electron is described by a modified screened hydrogenic wave function involving two free screening parameters denoted by c and a. The model is applied to hydrogen, helium, lithium, and boron anions, where the optimum values of the screening parameters are deduced through fitting the optimized energy to available experimental and theoretical values. The behavior of the optimum wave function for each anion is also investigated as a function of electronic radial distance and compared with its counterpart in the screened hydrogenic model and the Hartree–Fock method.