Transition of Bery Phase and Pancharatnam Phase and Phase Change

Berry Phase and time-dependent Pancharatnam phase are investigated for nuclear spin polarization in a liquid by a rotation magnetic field, where two-state mixture effect is exactly included in the geometric phases. We find that when the system of nuclear spin polarization is in the unpolarized state, the transitive phenomena of both Berry phase and Pancharatnam phase are taken place. For the polarized system, in contrast, such a transition is not taken place. It is obvious that the transitions of geometric phase correspond to the phase change of physical system.     

Phase Measurement Algorithm without Phase unwrapping Problem for Phase stepping interferometry

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相位解码的时-空重建算法

基于相位映射的三维传感技术对几何形状和拓扑结构复杂或表面梯度很大的物体进行绝对相位测量及相位重建仍然是一个困难的问题。近年来国际上提出了一种时间维度相位重建算法可以对此提供一种解决方案。然而,该算法对结构光照明系统提出了很高的要求,当系统无法满足算法要求时,重建结果存在严重的噪声。针对这一问题,提出了一种利用分段函数构造的相位解码的时空重建算法。该算法在相位重建过程中同时考虑时间维度和空间维度相位的相对关系,使得空间频率非严格按指数增长的条纹序列可以得到正确的重建,消除了跳变边界的相位模糊问题,从而可以更加有效地解决深度表面不连续和存在相互孤立物表面拓扑结构的景物相位重建问题。实验结果证明了此算法的可行性和有效性。     

Quantum Phase and Phase Difference for Fermion

In this paper, from the index theorem, we present the Hermitian phase operator for fermion, give its eigenvalues and orthogonal, normalized and complete eigenstates. Furthermore, we also get the phase difference operator for two fermions and discuss its quantum properties.     

Wavelength-Multiplexing Diffractive Phase Element with Quantized Phase Structure

We have reported on the design algorithm of the wavelength-multiplexing diffractive phase element (WMDPE) capable of generating independent spot patterns for more than two wavelengths. [J. Opt. Soc. Am. A 18 (2001) 1082] In this paper, the stepwise quantization method proposed by F. Wyrowski [J. Opt. Soc. Am. A 7 (1990) 961] is built into the algorithm to design the WMDPE with quantized phase structure. Validity of the method is verified by the WMDPE for 7 wavelengths with 9 phase levels. The optical experiment demonstrates that the fabricated WMDPE generates correct patterns for different wavelengths. Performance dependence of the WMDPE on the number of quantized phase levels is discussed based on the simulation results.This paper was originally presented at the 2nd International Conference on Optical Design and Fabrication, ODF2000 which was held on November 15-17, 2000 at the International Conference Center, Tokyo, Waseda University, Japan.     

色味连锁物质的稳定态及其相变

简要介绍和评述了色味连锁物质的稳定态及其相变,指出高密强相互作用物质由于夸克配对出现了一些奇异相。重点介绍色味连锁（CFL）物质及其中的Goldstone-mode凝聚现象。在考虑奇异数对应化学势μs≠0的情况下,CFL物质中K^0和K^-0都可能发生凝聚。随着重子数密度的增高,强作用物质呈现出丰富相结构,在核物质相与CFL相之间可能存在其它相,但最简单的可能相变过程是直接从核物质相变为CFL物质。这种相变可有两种过程,即两相间仅存在一个极小界面或出现两相混合区域。另外还重点讨论了K^-介子凝聚对相变的影响。Quark matter at high density has a rich phase structure. Goidstone-mode may condense in the color-flavor-locked （CFL） phase matter. We review the stability of CFL phase and its phase transition, as well as the effect of nonzero strangeness chemical potential on the CFL phase of dense quark matter. It is pointed out that, depending on the value of μs, both K^0 and K^-0 may condense in the CFL matter. As a function of quark chemical potential, other phases may intervene between the nuclear-matter and CFL phase. The simplest possibility, however, is a transition between nuclear and CFL matter. Such a transition could occur either at a single sharp interface or through a mixed phase region. The effect of discontinuous K^- meson condensation on the phase transition is also discussed. [     

Phase retrieval

The problem of phase retrieval arises in experimental uses of diffraction to determine intrinsic structure because the modulus of a Fourier transform is all that can usually be measured after diffraction occurs. For finite distributions, the phase retrieval problem can be solved by methods of factorization in suitable rings of polynomials; for continuous distributions with compact support, the methods of complex analysis are needed to solve the phase retrieval problem. These methods are discussed and examples are given for illustration.Partially supported by NSF Grant MCS 8218800     

A New Spin-Crossover-Complex Phase Generated by Photo-Induced Phase Transition

We clarified that photo-induced phase is quite different in structure from the thermally-induced phase by resonant Raman and infrared absorption spectroscopy in the spin-crossover complex, [Fe-(2-pic) 3 ]Cl 2 EtOH. In the photo-induced phase we observed a number of additional Raman lines which are not observed in the thermally-induced phases. The infrared absorption spectrum of the photo-induced phase has different structures from those of thermally-induced phases. The additional Raman lines are assigned to infrared-active vibrational modes that are strongly prohibited by selection rules in the thermally-induced phase. These results indicate that a dramatic symmetry lowering should take place in the photo-induced phase.     

相位畸变光束二次谐波的相位变化

研究了基波相位畸变对二次谐波相位分布的影响。针对具有不同像差、而光强分布为高斯型光束，以KDP晶体I类匹配为例，数值计算得到其二次谐波光束的光强分布和相位分布，分析了基波的像差、离散效率以及衍射效应的影响效果。研究表明不同的像差对于谐波的影响是不同的，主要取决于由其引起的全口径上相位失配的情况；离散效应主要带来的是倾斜像差，其高阶像差的影响随着离散效应的加剧而增大；而衍射效应的影响在一般情况下都是可忽略的。最后给出了在离散效应和衍射效应的影响可以忽略的情况下，基波相位畸变对二次谐波影响的近似估算式。     

Liquid Model of Phase Transition from Quark-Gluon Phase to Hadron Phase on Analogy of BCS Theory

A phenomenological model of the transition from quark-gluon phase to hadron phase is presented on the analogy of BCS theory. The massive current-quarks constitute the quark Cooper-pair, i.e., the hadron at T_c = 150~200 MeV, The order parameter of qq-pair takes a value in the range from 0.4 to 0.2 GeV. An experimental verification method of the present model in the heavy-ion collision is proposed.     

移相干涉技术中移相器的自校正方法

移相干涉技术（ＰＳＩ）是８０年代兴起的一门干涉图形自动识别技术，移相器作为移相干涉技术的关键部件其移相误差将直接影响到移相干涉技术的干涉图的识别精度。本文提出了一种移相器的自校正方法，即利用移相干涉仪的自身系统，通过快速傅里叶方法，对移相器进行逐步逼近校正。结合移相式红外干涉仪的研制，给出了一组移相器的自动校正的实验，实验表明，校正后的移相器的非线性误差可由原来的５％降低到０．２％。     

相位Landau态

引入Landau系统(带电粒子在垂直于均匀磁场平面内的运动)的相位本征态，利用这些本征态可方便地描述带电粒子圆周运动，且所得结果与规范的选择无关. 关键词： Landau系统 相位本征态     

Phase Fluctuations of Radio Waves Behind a Turbulent Phase Screen

We consider the problem of phase fluctuations of radio waves behind a turbulent optically thin irregular layer (phase screen). Expressions are derived for the main statistical characteristics of phase fluctuations in the case where modern direct methods based on measurements of the complex field of the received radiation are used to obtain these characteristics. Regimes of weak and saturated scintillations of signals are analyzed. It is shown that in the case of weak scintillations, such statistical characteristics of phase fluctuations of the received radiation as the structure function and the fluctuation spectra for single-point and interference reception almost coincide with those at the screen output. In the regime of saturated scintillations, we obtain an information on the structure function of phase fluctuations of the received radiation in the cases of relatively large and small spatial separations of the reception points. The results obtained allow one to correctly analyze the data of modern experiments on remote sensing of the near-Earth and space plasmas with the help of direct phase methods for environmental diagnostics. __________ Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 48, No. 7, pp. 563–573, July 2005.     

Theory for Difference Between Photoinduced Phase and Thermally Excited Phase

A possible difference between the photoinduced phase and the thermally excited one is studied by using a two-dimensional extended Peierls-Hubbard model, which includes a strong electron-phonon coupling and a on-site interelectron repulsion, as well as an anharmonic lattice potential. Because of this anharmonicity, the system undergoes a first order phase transition from an insulating CDW state to a metallic one at a high temperature. Although some sign of an SDW order is expected to appear due to this repulsion, it is always hidden in any equilibrium phase of the present system. In fact, it is hidden, not only in the CDW ground state, but also in this metallic one, since the high temperature itself destroys the SDW order, far before the CDW-metal transition occurs, while a photo-excitation at low enough temperature is shown to generate a local metastable SDW domain. Therefore, to observe the presence of such Coulomb interaction and the resultant broken symmetry, a nonequilibrium photoinduced phase is shown to be most straightforward. Thus, the photoinduce phase transition can make an interaction appear as a broken symmetry only in this phase, even though this interaction is almost completely hidden in all the equilibrium phases from low temperature to high ones.     

三维成像中相位级次自编码的相位测量方法

提出一种相位级次自编码技术的相位测量方法.与传统的相位测量技术不同,该方法利用截断相位的微分值作为编码通道,完成对各条纹级次的编码.构造的代码序列总长度为投影条纹的周期数,每个周期作为一个码元,由相邻若干码元构成一个代码子序列.相位计算后,根据截断相位的微分信息,可以提取出各周期及其码元值,通过在设计的代码序列中进行代...     

Polymerization-induced Phase Separation: Phase Behavior Developments and Hydrodynamic Interaction

The process of polymer synthesis based on polymerization-induced phase separation (PIPS) is revisited from the theoretical point of view. Cahn–Hilliard–Cook theories for spinodal decomposition are adapted to describe the kinetics of phase separation and deduce the time-resolved scattering function, while the double reaction model is used to describe the kinetics of polymerization. Coupling of these two kinetics is provided by the Carother's equation relating the fraction of reacted monomers to the degree of polymerization at time t, denoted N(t). It is argued that the approach to criticality is governed by a critical parameter, χ_c, that is different from the usual parameter for spinodal decomposition, χ_s, deduced from the second derivative of the free energy. While the latter parameter depends on the reciprocal degree of polymerization N^?1(t), the former one depends on its time integral. This leads to significant consequences on the phase behavior developments during the PIPS process. Hydrodynamic interactions are found to speed up the emergence of instability modes. Although the qualitative trends remain similar to those of the Rouse dynamics, important quantitative changes are found due to the long-range viscous flow effects.     

Phase and number

Contrary to the widespread belief that no phase observable exists which is canonically conjugate to the number operator, a selfadjoint operator is given with the right properties to be a firm candidate for the quantum phase. Its spectrum, commutation relations, uncertainty inequalities and classical limit are discussed.