Effects of the Form of Correlation Between Noises on Dynamic Properties of Linear System

We have derived exact expressions for the correlation function, power spectrum and correlation time of a one-dimensional non-Markovian linear system driven by correlated noises with correlation forms of delta function and different-time-region exponential function, respectively. We find that these dynamic properties of system for delta form are much different from those for different-time-region exponential form. Especially, the power spectrum for the former only has one peak but for the latter can have one, two or three peaks.     

Thermodynamics and Correlation Functions of XXZ Chain

Recently new integral equation describing the thermodynamics of XXZ chain was proposed. Using the integral equation we have succeded in obtaining the high temperature expansion of the specific heat and the magnetic susceptibility. For the ground state of spin one-half XXX chain only the first and the second neighbor correlations were known. Very recently we succeeded to calculate the third neighbor correlation by the direct calculation of integral formula. It is iexpressed by logarithm of 2 and Riemannian Zeta function with odd-integer arguments. We discuss the possibility of the fourth neighbor correlation and extention to XXZ chain.     

Instantaneously Dynamical Response and Correlation Functions in Independent-Oscillator Model

For the independent-oscillator model (IOM), the explicit expressions of the instantaneously dynamical response functions (Χ₁ + Υ,t₁), X(t₁ + Υ,t₁)) and correlation functions (φ(t₁ + Υ,t₁)+Φ(t₁ + Υ,t₁)) for both the system and environment are derived. It is shown that for external perturbation the environment of IOM is dynamically stable and the system is oscillatory. Although the external perturbation exists, there is still strongly temporal correlation for the system, for the environment, however, the temporal correlation quickly decays with the second time variable Υ and is almost independent of the first time variable t₁, nevertheless is significantly affected by dissipation. It is shown that the environment behaves as a heat bath from the dynamical point of view.     

On the Similarity of the Statistical Characteristics of Spontaneous Radiation of a Quantum Amplifier at Different Gain Factors

The transformation laws governing the statistical properties of the quantum noise of an optical amplifier when its gain factor and spectral line profile are varied are considered. The correlation functions of quantum noise both at the amplifier output and after nonlinear transformation normalized to the correlation time of quantum noise at the amplifier output were found to be independent of the amplifier gain provided that it exceeds 10 for the Gaussian spectral line profile and 10³ for the Lorentzian profile. The spectral density of quantum noise transformed in a nonlinear system was shown to possess the same similarity property. It was found that the statistical characteristics possess a similarity property even in the case of variation of the spectral line profile from Gaussian to Lorentzian. It was concluded that such a characteristic of quantum noise of an optical amplifier as the correlation time bears virtually all information on the above-mentioned statistical properties at a reasonably large amplifier gain. The similarity property revealed has an important application. It allows finding the matching condition between the optical signal spectrum and the gain profile of the optical quantum amplifier to achieve the highest sensitivity of signal detection by the amplifier.     

彩色图像的非相干光相关识别

提出一种用非相干光系统识别彩色图像的方法,将脸色图像分解成三个单色像处理,设计一可实现的仅相位光学传递函数,对其进行带能优化,人而提高信噪比并使相关峰锐化,通过一对滤波器来合成该光学传递函数,获得了采色图像相关识别的实验结果。     

皮秒脉冲传输系统中三阶色散补偿的研究

模拟了皮秒高斯光脉冲在理想的二阶和三阶色散都作了补偿的光纤链中的传输。结果表明,与二阶色散补偿能消除脉冲展宽一样,三阶色散补偿不仅能防止脉冲展宽,而且也能有效地消除脉冲边沿部的振荡结构和脉知的时移。文中画出了100Gb/s码率的64位高斯光脉冲序列在色散补偿光纤链中传输2000km后的眼图,由眼图的清晰程度可看出这种补偿系统对改善短脉冲传输的有效性。     

Boundary Correlation Functions of the gl(1|1) Supersymmetric Vertex Model

The gl(1|1) supersymmetric vertex model with domain wall boundary conditions (DWBC) on an N×N square lattice is considered. We derive the reduction formulae for the one-point boundary correlation functions of the model. The determinant representation for the boundary correlation functions is also obtained.     

中心集体流对带电粒子关联函数的影响

讨论了中心集体流对带电粒子关联函数的影响,采用蒙特卡罗方法研究了热源发射出的单粒子能谱与双粒子关联谱受中心集体流的影响. 利用QMD模型计算了100MeV/u的Ni+Ni系统在b=0fm条件下的双质子关联函数. 在计算中发展了一种交换粒子计算方法并证实了在100MeV/u Ni+Ni的中心碰撞中存在中心集体流. 计算结果表明,在中重系统中关联函数对中心集体流是灵敏的,为在100MeV/u以上能区研究中重系统中心碰撞形成的中心集体流提供了一种可行的方法.     

Enhanced Third-Order Nonlinearity in Semiconductors Giving Rise to 1 THz Radiation

Third harmonic generation (THG) efficiency is shown to be a greatly enhanced at the onset of inelastic scattering of electrons on optic phonons. Scaling experiments are performed on n-type InP at the pump wave frequency of 9.43 GHz at 80 K. Monte Carlo modeling is employed for scaling the effect to the 3rd harmonic frequency of 1 THz. The THG efficiency in n-type GaAs and InP as well as in the wurtzite phase of n-type InN and GaN compound crystals is compared to that in n-type Si. The efficiency maximum is found to weaken due to the quasi-elastic scattering on acoustic phonons and elastic scattering on ionized impurities. Nevertheless, the THG efficiency at 1 THz in InP crystals cooled down to liquid nitrogen temperatures is predicted to be 2 orders of magnitude higher than the reference value of 0.1% experimentally recorded up to now in n-type Si.     

A Highly Accurate Face Recognition System Using Filtering Correlation

The authors previously constructed a highly accurate fast face recognition optical correlator (FARCO) [E. Watanabe and K. Kodate: Opt. Rev. 12 (2005) 460], and subsequently developed an improved, super high-speed FARCO (S-FARCO), which is able to process several hundred thousand frames per second. The principal advantage of our new system is its wide applicability to any correlation scheme. Three different configurations were proposed, each depending on correlation speed. This paper describes and evaluates a software correlation filter. The face recognition function proved highly accurate, seeing that a low-resolution facial image size (64 × 64 pixels) has been successfully implemented. An operation speed of less than 10 ms was achieved using a personal computer with a central processing unit (CPU) of 3 GHz and 2 GB memory. When we applied the software correlation filter to a high-security cellular phone face recognition system, experiments on 30 female students over a period of three months yielded low error rates: 0% false acceptance rate and 2% false rejection rate. Therefore, the filtering correlation works effectively when applied to low resolution images such as web-based images or faces captured by a monitoring camera.     

Digital Recording Video System for Control of Laser Radiation Parameters

Russian Physics Journal - The method for control of the parameters of laser radiation based on its recording in the diffuse reflecting screen plane and subsequent digital processing of the recorded...     

Evolution of Orbits and Quantum Correlation Functions by Quadratic Hamiltonians

Quantum systems with quadratic Hamiltonians are considered. Some results about the time evolution of homogeneous polynomials and of quantum correlation functions are given. The image of arbitrary orbit of Weyl–Heisenberg group under this time evolution is shown to be again an orbit of this group. For quantum free particle it is shown that its time evolution intersects arbitrary such orbit at most once. A result about existence of more orbits having the same dispersion of some quantum position is presented.PACS: 02.20.Qs, 02.30.Sa     

三种多环芳烃混合溶液二维荧光相关谱解析

多环芳烃为优先控制污染物,但是由于其含量很低,多组分多环芳烃荧光峰相互重叠,所以常规荧光光谱法无法对其荧光峰进行有效解析。采用二维荧光相关分析方法对三种多环芳烃,蒽、菲和芘的混合溶液进行荧光峰解析。根据研究目标,按照三种多环芳烃浓度比的不同配制了三种混合物体系,共27个样本,每种体系的三种溶液浓度彼此间按规律递增和递减。在此基础上,以浓度为外扰,构建了各体系的同步和异步二维荧光相关谱。同步谱中,在425,402,381,373,365,393及347 nm处产生自相关峰。以未被覆盖的菲在347 nm处荧光峰为线索,通过其与各波长处荧光交叉峰的正负,判断出了402,381,425和452 nm处荧光峰源于混合溶液中的蒽; 373与393 nm处荧光峰源于混合溶液中的芘; 365,356及347 nm处荧光峰源于混合溶液中的菲。通过异步谱解析出菲的385 nm处荧光峰,证明了异步谱比同步谱具有更好的光谱分辨率。研究结果表明,采用二维荧光相关方法对光谱严重重叠的多组分多环芳烃的解析是可行的,并具有一定的优势,可推广到对环境中其他污染物质的检测。     

Correlation Functions of an Autonomous Stochastic System with Nonlinear Time Delays

The auto-correlation function and the cross-correlation of an autonomous stochastic system with nonlinear time-delayed feedback are investigated by using the stochastic simulation method. There are prominent differences between the roles of quadratic time-delayed feedback and cubic time-delayed feedback on the correlations of an autonomous stochastic system. Under quadratic time-delayed feedback, the nonlinear time delay fails to improve the noisy state of the autonomous stochastic system, the auto-correlation decreases monotonously to zero, and the cross-correlation increases monotonously to zero with the decay time. Under cubic time-delayed feedback, the nonlinear time delay can improve the noisy state of the autonomous stochastic system; the auto-correlation and the cross-correlation show periodical oscillation and attenuation, finally tending to zero with the decay time. Comparing the correlations of the system between with nonlinear time-delayed feedback and linear time-delayed feedback, we find that nonlinear time-delayed feedback lowers the correlation strength of the autonomous stochastic system.     

Correlation Functions, Cluster Functions, and Spacing Distributions for Random Matrices

The usual formulas for the correlation functions in orthogonal and symplectic matrix models express them as quaternion determinants. From this representation one can deduce formulas for spacing probabilities in terms of Fredholm determinants of matrix-valued kernels. The derivations of the various formulas are somewhat involved. In this article we present a direct approach which leads immediately to scalar kernels for the unitary ensembles and matrix kernels for the orthogonal and symplectic ensembles, and the representations of the correlation functions, cluster functions, and spacing distributions in terms of them.     

Block Renormalization Group Approach for Correlation Functions of Interacting Fermions

Inspired by a decomposition of the lattice Laplacian operator into massive terms (coming from the use of the block renormalization group transformation for bosonic systems), we establish a telescopic decomposition of the Dirac operator into massive terms, with a property named orthogonality between scales. Making a change of Grassmann variables and writing the initial fields in terms of the eigenfunctions of the operators related to this decomposition, we propose a multiscale structure for the generating function of interacting fermions. Due to the orthogonality property we obtain simple formulas, establishing a trivial link between the correlation functions and the effective potential theories. In particular, for the infrared analysis of some asymptotically free models, the two point correlation function is written as a dominant term (decaying at large distances as the free propagator) plus a correction with faster decay, and the study of both terms is straightforward once the effective potential theory is controlled.     

高精度数字图像相关测量系统及其技术研究

研制双CCD长距显微数字图像相关测量系统,它融合光电子、数字图像相关方法和散斑技术于一体,具有非接触式、高精度、宽量程、准实时、测试方法简便等优点,它可用于材料力学性能(特别是柔性高分子材料力学性能)测量、低膨胀系数新型材料线胀系数等的测量。若将其用于应变测量,灵敏度优于1με,而传统数字图像相关方法测量应变的理论灵敏度为20με。利用列阵光学元件解决了0.05 mm高衬比度微小标记的方便设置;提出消除了数字图像灰度噪声的时间平均法,使相关测量精度稳定地达到0.01 pixel。还给出金属材料拉应变的测量结果,实验结果与经典理论值相当接近。此外,还阐述数字图像相关测量技术是一种超光学系统衍射极限分辨力的测量技术。     

Spectral Properties of the Radiation of Injection Lasers at Prethreshold Excitation Levels

The spectral properties of the radiation of injection lasers at low (prethreshold) levels of excitation were investigated experimentally by the method of optical heterodyning of the Doppler signal and also with the use of a KSVU23 spectral setup. It is established that these lasers may serve as sources of the optical radiation of TE and TMpolarizations with a retuned length of coherence within the range 1–10 mm in spectrometric facilities of photoheterodyne type. A procedure for determining the inversion current in an injection laser is suggested.     

激发函数中的长程角度关联与量子态叠加

在较大的连续角区范围内测量了27Al+27Al耗散反应产物的激发函数,入射束流的能量从114MeV到127MeV,能量步长200keV.分析激发函数的角度关联,角度相干宽度超过40°,各个角度之间反应产物的互关联系数在0.6以上.用宏观条件下的量子态叠加讨论了这种长程角度关联.     

RHIC和LHC能区两粒子关联函数研究

应用多源热模型研究了相对论性重离子对撞机（RHIC）上PHENIX合作组测得的每核子对质心能量√sNN=200 GeV的氘-金（d+Au）碰撞中快度长程方位角关联,和大型强子对撞机（LHC）上CMS合作组测得的质心能量√s=0.9,2.36,7 TeV的质子质子（p+p）碰撞中高多重数短程赝快度关联,在误差范围内模型结果很好地重现了实验数据。用4个参数分析了长程方位角关联,结果表明,参数可以清楚地显示出脊结构的变化趋势,说明脊结构与集体效应、流体力学流效应、粒子对的横动量及信号等有关。用3个参数分析了小系统高多重数短程赝快度关联,结果表明,参数σ和c₃与能量相关,能量越大,两粒子越靠近,关联越强。The multi-source thermal model is used in this paper to analyze the long-range azimuth correlation in deutron-gold (d+Au) collisions at center-of-mass energy per nucleon pair √sNN=200 GeV measured by the PHENIX Collaboration at the relativistic heavy ion collider (RHIC), and the short-range pseudorapidity correlation in high multiplicity event in proton-proton (p+p) collisions at center-of-mass energy √s=0.9, 2.36, 7 TeV measured by the CMS Collaboration at the large hadron collider (LHC). The modeling results are in approximately agreement with the experimental data in error ranges. Four parameters are used in the analysis of long-range azimuth correlation, which show that the parameters describe the change trend of ridge structure. The ridge structure is related to the collective effect, hydrodynamic flow effect, transverse momentum and signal of particle pair, and so forth. Three parameters are used in the analysis of the short-range pseudorapidity correlation in high multiplicity event in small system, which show that the parameters σ and c3 are related to collision energy. Large collision energy results in strong correlation due to close distance between particles.