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.     

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。     

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     

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.     

光场二阶相干函数的实验研究

从理论和实验上给出研究光场二阶相干函数的新方法，并能够应用皮秒或亚皮秒范围的超快现象测量中。     

基于相关序列脉冲的布里渊光时域反射测量系统解码方法研究

布里渊光时域反射测量(BOTDR)系统空间分辨率和传感距离存在相互制约的关系.相关序列脉冲编码技术可用于解决这一矛盾,但直接对编码脉冲的布里渊散射采样信号进行解码,会因采样时间间隔小于编码单位脉冲宽度而导致解码信号的失真,从而降低了系统空间分辨率和测量精度.分析了直接互相关解码对BOTDR系统空间分辨率的影响,提出一种...     

Factorization of Correlation Functions in Coset Conformal Field Theories

We use the conformal Ward identities to study the structure of correlation functions in coset conformal field theories. For a large class of primary fields of arbitrary g/h theory, a factorization anzatz is found. Corresponding correlation functions are explicitly expressed in terms of correlation functions of two independent WZNW theories for g and h.     

Finite-Difference-Time-Domain Analysis for Electro-Magnetic Field Distribution on Near-Field Optical Recording Probe Head

In recent years there has been a strong trend and movement towards digitalism and high memory capacity in the multi-media field including digital movies. It is expected that new kinds of high density data storage to match this environment will be developed. The optical disk system using near-field optics and technology is considered to be a strong candidate for ultra-high density optical memory. In order to realize a new optical recording system we have focused on the writing head with high optical efficiency and resolution. We evaluated the properties of pyramidal probe heads using the FDTD (finite difference time domain) method and obtained simulation results in order to find the best structure and design for new near-field optical probes. From these results, we understood that a novel probe structure having metal layers on just 3 side planes (scoop type) shows the best performance in optical power density and beam size. We believe that optical enhancement and beam confinement arise from the effect of surface plasmon on a metal layer and the beam blocking of metal, respectively. Using this scoop-type probe having a tip size of 55 nm, we can get a very small spot size of 33 #x00D7; 60 nm² in FWHM (full with half maximum), which allows us to realize the recording density of 300 Gb/in².     

Imaging Analysis of Near-Field Recording Technique for Observation of Biological Specimens

We present an analysis of the properties of an imaging based on a near-field recording technique in comparison with simulation results. In the system, the optical field distributions localized near the specimens are recorded as the surface topographic distributions of a photosensitive film. It is possible to observe both soft and moving specimens, because the system does not require a scanning probe to obtain the observed image. The imaging properties are evaluated using fine structures of paramecium, and we demonstrate that it is possible to observe minute differences of refractive indices.     

光学信号相关实验

利用转镜进行非相干光的动态扫描可以实现光信号的相关.本文阐述了实验原理,设计了普通条件下的实验光路,给出了对称与非对称0—1函数自相关的理论曲线和实验曲线.     

低相干光断层扫描系统的噪声分析与研究

低相干光断层扫描,是近十几年来发展起来集多种前沿科学和技术为一体的超高精度成像技术。介绍了该技术的理论原理及本实验室建立的基于时域线性调制和光纤迈克耳孙干涉仪的低相干光断层扫描系统并给出了初步的实验结果。重点对光源谱型和参考臂扫描速度不均匀性对系统输出信噪比的影响进行了理论模拟计算和实验研究。通过运用傅里叶频谱的分析方法,从工程设计的角度出发给出了基于实验结果的参量特性分析以及这些特性将会给实际光学相干层析系统测量结果带来的影响,从而获得了低相干光断层扫描系统改进的方法。     

投影光刻离轴照明用衍射光学元件的矢量分析

使用衍射光学元件(DOE)作为投影光刻照明系统实现离轴照明(OAI)的光束整形匀光器件,能够在保持较高照明效率的基础上精确控制OAI光束的形状及光强分布.在矢量角谱传输方法的基础上,建立了投影光刻用DOE的矢量分析模型,并对标量方法设计的DOE在偏振照明情况下的匀光与整形性能进行了分析.分析结果表明DOE在大角度衍射、...