带电粒子束的等时周期场聚焦

在质子直线加速器中经常利用等时周期场对粒子束进行聚焦. 这种周期场的特点是周期长度不等而粒子经过每一周期的时间为常数,本文讨论等时周期场聚焦的基本理论,并将它推广到周期长度缓慢变化的周期场.     

注入半导体激光器混沌相位周期控制方法研究

提出外部光注入半导体激光器混沌相位控制方法，通过周期调制注入光的相位相移将激光器的混沌控制到多种周期状态.数值结果表明：在不同强度光注入下，(1)通过半波长周期相位相移调制控制混沌激光到周期态、双周期态、三周期态、四周期态以及多周期态等；(2)通过四分之一波长周期相位相移调制控制混沌激光到周期态和多周期态，并在高频调制控制时能够产生激光锁模现象，其锁模区域是19—21GHz；(3)波长周期相位相移调制控制也能使混沌激光控制到三周期态和多周期态等. 关键词： 混沌 控制 激光器 周期     

可兴奋性细胞混沌放电区间的识别机理

在神经起步点记录到加周期分岔过程的生理实验数据，在对此分岔过程中位于周期n爆发 和周期(n+1)爆发之间的混沌的峰峰间期数据检测不稳定的周期轨道时，发现从靠近周期 n爆发的混沌的峰峰间期数据中，可以检测出不稳定的周期n轨道；而从靠近周期(n+1)爆 发的混沌的峰峰间期数据中，不仅可以检测出不稳定的周期(n+1)轨道，还可以检测出不稳 定的周期n轨道.针对该现象，借助于Sherman建议的胰腺β细胞模型，从非线性动力 学角度给出了理论解释.指明了由鞍结分岔和倍周期分岔分别产生第一类阵发和第三类阵发 为出现该 关键词： 峰峰间期 不稳定的周期轨道 鞍结分岔 倍周期分岔     

Duffing振子系统周期解的唯一性与精确周期信号的获取方法

研究Duffing振子系统的周期解的唯一性与精确周期信号的获取方法.应用定性分析方法,获得了一类Duffing振子系统具有唯一周期解的必要条件,同时也得到了一类更广泛的非线性周期系统的周期解的唯一性.在一定条件下,给出了Duffing振子系统精确周期信号的获取方法。     

双环掺铒光纤激光器混沌控制产生周期脉冲及多周期现象研究

研究了双环掺铒光纤激光器混沌控制产生周期脉冲以及多周期现象,并提出了光调制器调制泵浦控制、外部光注入控制、光衰减器控制、光延时时间控制器控制以及相位控制器控制和连续键控反馈光等多种双环掺铒光纤激光器的混沌控制方法.结果表明:用光调制器调制泵浦光能控制激光到周期态及多周期态;用外部光注入能控制激光到单周期态、双周期态、三周期态、四周期态、五周期态以及多种高周期态等,能形成多种形式相空间图样,产生双环掺铒光纤激光器独特的激光单锁模拟和双锁模拟现象;用外部光路反馈控制时,在负反馈条件下,用时间控制器控制反馈光的延时时间能控制激光到不同的周期态和双周期态,用光衰减器控制光的强度能控制激光到稳定态及周期态,用相位调制器控制反馈光的相位进行负反馈和正反馈转换时能有效地控制激光进入到稳定态及周期态;连续键控反馈光相位能控制激光到多周期态等.整个控制系统能动态、有效地控制产生周期光脉冲以及多种新颖的多周期态等.     

非线性自治系统频率特性及其利用

用数值模拟方法对三维非线性混沌系统进行了分析,发现衰减项参量的变化基本不影响系统的周期(指在同一周期内),并且系统基频与分频(基本周期与倍周期)之间还存在着近似的简单倍数关系.另外,还将Hopf分支理论中的实用分析方法应用到某些系统,解析地确定出系统开始出现稳定周期解(分岔)的临界位置、基本周期的近似值及分岔方向等有关特征量.进一步利用确定系统基本周期的方法以及基本周期和其他周期关系的规律,讨论了变量延迟反馈法控制混沌的两个实例 关键词： 自治系统 基本周期(频率) Hopf分支 混沌控制     

锗衬底红外抗反射亚波长结构的研究

为了减小锗表面的反射,利用模式理论对锗衬底正方柱形亚波长结构的衍射特性进行了研究。结果发现,当周期较小时,占空比大于0.78对透射率的影响比较明显;周期大于0.25λ,零级透射率随周期的增大急剧下降,而总透射率随周期的增大变化不大;周期较小透射率随结构高度的变化呈余弦周期性,周期增大透射率随结构高度的变化呈余弦赝周期性,并且周期越大余弦赝周期性越明显;此外,周期较小时,可以实现大角度范围内的高的透射率,周期较大时,可以制备为窄带滤波器。     

扫描干涉场曝光系统中周期设定对曝光刻线相位的影响

扫描干涉场曝光系统中的干涉条纹周期是相位锁定系统的重要参数,其设定值与名义值之间的偏差会引起相邻扫描间的干涉条纹相位拼接误差。为获取以扫描曝光方式所制作光栅的衍射波前特征,根据步进扫描曝光的特点及动态相位锁定的工作原理,建立了扫描曝光的数学模型,给出了曝光刻线误差及曝光光栅周期的变化规律,并进行了相关实验验证。结果表明,相位锁定中周期设定误差会带来周期性的刻线误差。曝光光栅周期会随周期设定值的变化而改变,当周期设定误差较小时,曝光光栅周期等于周期设定值。对于曝光光斑束腰半径为0.9mm、曝光步进间隔为0.6mm、曝光条纹周期为555.6nm的系统参数,周期设定的相对误差小于278×10-6时,周期性的刻线误差小于1nm。若要求曝光对比度大于0.9,则周期设定的相对误差需要控制在92.6×10-6以内,周期设定值及曝光光栅周期的可变范围为102.8pm。     

广义Fibonacci准周期结构声子晶体透射性质的研究

提出了一维广义Fibonacci准周期结构的声子晶体模型. 对弹性波通过该一维准周期结构声子晶体的透射系数进行数值计算,并与周期结构和标准Fibonacci准周期结构声子晶体的透射系数进行比较. 结果表明,利用一维广义Fibonacci准周期结构的声子晶体可获得比周期结构和标准Fibonacci准周期结构声子晶体更大的带隙范围,同时在带隙内有更丰富的局域模式存在. 对局域模性质的研究有助于声波或弹性波滤波器的制作. 关键词： 广义Fibonacci准周期结构 声子晶体 局域化     

阶梯状声扩散体形体优化方法

应用时域有限差分法计算阶梯状声扩散体扩散系数,结合免疫遗传算法分别对周期排布的六阶和十二阶阶梯状声扩散体的形体进行优化。首先,验证了时域有限差分法计算声场的有效性,之后采用两种方式进行优化设计:第一种是直接对多周期重复排布的扩散体形体进行优化;第二种首先对单周期扩散体形体进行优化,再将该扩散体重复周期排布。结果显示:第一种优化方式能获得扩散性能更优的周期排布的扩散体。单周期扩散性能最优的扩散体重复一定周期后,其性能不会保持最优,相反,扩散性能并非最优的单周期扩散体重复一定周期后的扩散性能却优于前者;扩散体总长度一定条件下,增加扩散体的阶次、降低重复周期数,可有效提升扩散体的扩散性能。因此,直接对多周期重复排布的高阶次扩散体形体进行优化,能够获得扩散性能最优的周期重复排布的扩散体。      

Geometric phase induced by a cyclically evolving squeezed vacuum reservoir

We propose a new way to generate an observable geometric phase by means of a completely incoherent phenomenon. We show how to imprint a geometric phase to a system by adiabatically manipulating the environment with which it interacts. As a specific scheme, we analyze a multilevel atom interacting with a broadband squeezed vacuum bosonic bath. As the squeezing parameters are smoothly changed in time along a closed loop, the ground state of the system acquires a geometric phase. We also propose a scheme to measure such a geometric phase by means of a suitable polarization detection.     

Effects of a magnetic field on a modulated phase

The effects of a magnetic field on a modulated phase are studied. A modulated phase is found to have two critical fields H₁ and H₂. For a large enough magnetic field, H₁ and H₂ can be approximated by a linear law. As a result, the minimum magnetic field needed to destroy a modulated phase is a constant. The minimum magnetic field also greatly depends on the order of a commensurate phase. A very high order commensurate phase and an incommensurate phase cannot survive a magnetic field. The behaviour of a magnetoelastic chain in a magnetic field can be described by a harmless devil's staircase. The inverse temperature is found to play a role similar to that of a special magnetic field. The deeper physics underlying these new phenomena is the breaking of the left-right symmetry of a phase diagram. As a result a controllable path to a modulated phase is found.     

Some non-abelian phase spaces in low dimensions

A non-abelian phase space, or a phase space of a Lie algebra, is a generalization of the usual (abelian) phase space of a vector space. It corresponds to a para-Kähler structure in geometry. Its structure can be interpreted in terms of left-symmetric algebras. In particular, a solution of an algebraic equation in a left-symmetric algebra which is an analogue of classical Yang–Baxter equation in a Lie algebra can induce a phase space. In this paper, we find that such phase spaces have a symplectically isomorphic property. We also give all such phase spaces in dimension 4 and some examples in dimension 6. These examples can be a guide for a further development.     

The Klein-Gordon and the Dirac Oscillators in a Noncommutative Space

We study the Dirac and the Klein-Gordon oscillators in a noncommutative space. It is shown that the Klein-Gordon oscillator in a noncommutative space has a similar behaviour to the dynamics of a particle in a commutative space and in a constant magnetic field. The Dirac oscillator in a noncommutative space has a similar equation to the equation of motion for a relativistic fermion in a commutative space and in a magnetic field, however a new exotic term appears, which implies that a charged fermion in a noncommutative space has an electric dipole moment.     

Asymmetric universal entangling machine for qubits

We give a definition of a universal entangling machine that entangles a system in an unknown state to a specially prepared ancilla. We describe explicitly such a machine for one qubit; i.e., we show how a qubit in an a priori unknown state can be entangled to a four-level ancilla by means of a unitary transformation. As a result, a fixed state-independent amount of entanglement is generated in exchange for a fixed degradation of qubit state fidelity.     

Maximum in vibrational frequency shift of a hydrogen molecule in solid hydrogen under pressure

Raman measurements on solid hydrogen show a maximum in the vibrational frequency of a H₂ molecule as a function of pressure, around 350 Kbar. We give an interpretation of this experimental data by considering a model in which a single H₂ molecule is immersed in a dielectric medium, and enclosed in a spheroidal box to simulate the effect of pressure. The maximum results from a balance between a decreasing equilibrium bond length of H₂ with pressure at low pressures and a term which reflects the pressure dependence of the dielectric constant. Our results are consistent with available calculations which give a much lower vibrational frequency at a much higher pressure, for a H₂ molecule embedded in a metallic medium.     

Synthesis of magnetic systems producing field with maximal scalar characteristics

A method of synthesis of the magnetic systems (MSs) consisting of uniformly magnetized blocks is proposed. This method allows to synthesize MSs providing maximum value of any magnetic field scalar characteristic. In particular, it is possible to synthesize the MSs providing the maximum of a field projection on a given vector, a gradient of a field modulus and a gradient of a field energy on a given directing vector, a field magnitude, a magnetic flux through a given surface, a scalar product of a field or a force by a directing function given in some area of space, etc. The synthesized MSs provide maximal efficiency of permanent magnets utilization. The usage of the proposed method of MSs synthesis allows to change a procedure of projecting in principal, namely, to execute it according to the following scheme: (a) to choose the sizes, a form and a number of blocks of a system proceeding from technological (economical) reasons; (b) using the proposed synthesis method, to find an orientation of site magnetization providing maximum possible effect of magnet utilization in a system obtained in (a). Such approach considerably reduces a time of MSs projecting and guarantees maximal possible efficiency of magnets utilization. Besides it provides absolute assurance in “ideality” of a MS design and allows to obtain an exact estimate of the limit parameters of a field in a working area of a projected MS.The method is applicable to a system containing the components from soft magnetic material with linear magnetic properties.     

Scattering of a plane wave from a periodic random surface: a probabilistic approach

This paper deals with a probabilistic formulation of the wave scattering from a periodic random surface. When a plane wave is incident on a random surface described by a periodic stationary stochastic process, it is shown by a group-theoretic consideration that the scattered wave may have a stochastic Floquet form, i.e. a product of a periodic stationary random function and an exponential phase factor. Such a periodic stationary random function is then written by a harmonic series representation similar to a Fourier series, where Fourier coefficients are mutually correlated stationary processes instead of constants. The mutually correlated stationary processes are represented by Wiener - Hermite functional series with unknown coefficient functions called Wiener kernels. In case of a slightly rough surface and TE wave incidence, low-order Wiener kernels are determined from the boundary condition. Several statistical properties of the scattering are calculated and illustrated in figures.     

The development of a portable line-shaping optical system for silicon surface treatment

This study proposes a beam shaper for converting a circle beam profile generated with a Gaussian intensity distribution by an 808 nm diode laser into a line beam profile for silicon surface treatment applications. To produce a hand-held and low-cost device with a large spot-size laser, this study uses a portable optical system consisting of a diode laser source, a collimator, a cylindrical lens, and a plano-convex lens to generate an approximately 40 × 3:5mm² line beam profile at a working distance of 200 mm. The silicon surface treated by the line-shaped laser beam has significantly reduced reflectance spectra. The proposed system is also suitable for the surface cleaning of materials.     

Experimental demonstration of a technique to generate arbitrary quantum superposition states of a harmonically bound spin-1/2 particle

Using a single, harmonically trapped 9Be(+) ion, we experimentally demonstrate a technique for generation of arbitrary states of a two-level particle confined by a harmonic potential. Rather than engineering a single Hamiltonian that evolves the system to a desired final state, we implement a technique that applies a sequence of simple operations to synthesize the state.