二维电子光谱仪器研制与指标分析

介绍了一种利用光栅分光,光子回波矩阵构型的二维光谱实验装置．利用快速,高灵敏度的EMCCD对信号进行外差单脉冲测量．并对仪器的指标进行了检测,30 min内12路相干光的相位抖动均方差达到λ/200,19 min内染料IR140溶液外差回波信号的稳定性达到λ/90,通过移动平移台测量了仪器的光谱准确性,相移偏差均方差为λ/90,对平移台移动不均匀导致的光谱失真进行了数值模拟．另外在位相调整时为解决样品泵浦探测信号有干涉的问题,提出了相位移动的方法．将散射信号扣除,大大提高了位相调整的准确性．对染料IR144溶液,光合蛋白色素复合体B820的测量与文献一致．     

WAVE INTERACTIONS IN SULICIU MODEL FOR DYNAMIC PHASE TRANSITIONS

Elementary waves in Suliciu model for dynamic phase transitions are obtained through traveling wave analysis.For any given initial data with two pieces of constant states,the Riemann solutions are constructed as a combination of elementary waves. When the initial profile contains three pieces of constant states,the solution may be constructed from the Riemann solutions,with each two adjacent states connected by elementary waves.A new Riemann problem forms when these two waves collide.Through the exploration of these Riemann problems,the outcome of wave interactions may be classified in a suitable parametric space.     

具有高消失矩的3-进双正交对称小波的构造

本文用矩阵对称扩充来构造了具有高消失矩的3带对称双正交小波.利用矩阵扩充,获得了3维矩阵对称扩充方法和小波构造的算法,并且,该算法便于计算机程序化实现;利用两个实例验证了相关的结论.     

Spatial Dispersion Induced by Cross-Phase Modulation

We demonstrate our experiment of controlling spatial displacements of the probe beam induced by the cross-Kerr effect in a three-level V-type atomic system. By increasing the atomic density or the intensity of strong control laser beams, spatial displacements are enhanced. We further study the difference of effects from the atomic density and the laser intensity. In addition, the spatial displacement efficiencies of the probe beam in different energy level atomic systems are compared. Such studies of controlling spatial displacements can have potential applications in soliton deflection, spatial optical switch and generating spatially correlated （entangled） laser beams in multi-level EIT systems.     

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Tatsien LI Fanghua LIN Guiqiang CHEN Xiaoming WANG Professor Andrew Majda is one of the most prominent applied mathematicians in the world. He is well-known for both his seminal theoretical contributions to partial differential equations and his diverse and fundamental contributions to many applied areas such as scattering theory, shock waves, combustion, incompressible flow, vortex motion, turbulent diffusion and atmosphere ocean science.     

Improved Hörmander’s theorem and new methods for oscillatory integral operators

This paper proves a theorem on the decay rate of the oscillatory integral operator with a degenerate C^∞ phase function, thus improving a classical theorem of HSrmander. The proof invokes two new methods to resolve the singularity of such kind of operators： a delicate method to decompose the operator and balance the L^2 norm estimates; and a method for resolution of singularity of the convolution type. The operator is decomposed into four major pieces instead of infinite dyadic pieces, which reveals that Cotlar＇s Lemma is not essential for the L^2 estimate of the operator. In the end the conclusion is further improved from the degenerate C^∞ phase function to the degenerate C^4 phase function.     

Calculation of coupled problem between temperature and phase transformation during gas quenching in high pressure

The gas quenching is a modern, effective processing technology. On the basis of nonlinear surface heat-transfer coefficient obtained by Cheng during the gas quenching, the coupled problem between temperature and phase transformation during gas quenching in high pressure was simulated by means of finite element method. In the numerical calculation, the thermal physical properties were treated as the functions of temperature and the volume fraction of phase constituents. In order to avoid effectual "oscillation" of the numerical solutions under smaller time step, the Norsette rational approximate method was used.     

三种方法求解外场驱动含时谐振子系统的异同

讨论了外场驱动含量谐振子系统的三种解法的异同，发现利用相干态平均方法与量子不变量理论所得结果一致，而利用海森伯运动方程所求结果与上述两种结果相关一个相位因子。     

用相位分析法计算交流Stark效应中探测场的谱线响应

在交流Ｓｔａｒｋ效应的实验观测中，原子能级的移动是借助探测场谱线位置的移动来进行测量的。相位分析方法不仅便于计算原子的能级移动，而且也便于计算探测场的谱线响应。本文讨论这方法对探测场的应用。