Stability and Collective Excitation of Two-Dimensional BECs with Two- and Three-Body Interactions in an Anharmonic Trap

The stability and collective excitation of Bose-Einstein condensates with both two- and three-body interactions in a two-dimensional anhaxmonic trap （i.e., harmonic plus quartic trap） are investigated. By using the variational method, the influence of the three-body interaction and the anharmonicity on the stability axe discussed in detail. It is found that the anhaxmonicity of the trap and the three-body interaction have significant effect on the stability and collective excitations of the system.     

The viscoelasticity of lipid shell and the hysteresis of subharmonic in liquid containing microbubbles

The viscoelasticity and subharmonic generation of a kind of lipid ultrasound contrast agent are investigated. Based on the measurement of the sound attenuation spectrum, the viscoelasticity of the lipid shell is estimated by use of an optimization method. Shear modulus G_S=10MPa and shear viscosity \mu _S=1.49N\cdotS/m² are obtained. The nonlinear oscillation of the encapsulated microbubble is studied with Church's model theoretically and experimentally. Especially, the dependence of subharmonic on the incident acoustic pressure is studied. The results reveal that the development of the subharmonic undergoes three stages, i.e. occurrence, growth and saturation, and that hysteresis appears in descending ramp insonation.     

Application of α——β——γ filtering to real-time atmosphere methane concentration measurement

A real time $\alpha$--$\beta$--$\gamma$ filtering technique is applied to the monitoring of atmosphere CH可调二极管激光吸收光谱 谐波检测 物理光学 激光技术tunable diode laser absorption spectroscopy, multi-pass cell, harmonic detectionProject supported by the National Natural Science Foundation of China (Grant No 10274080) and the National High Technology Research and Development Program of China (Grant No 2003AA641010).8/5/2005 12:00:00 AM2005-08-052006-01-19A real time α-β-γ filtering technique is applied to the monitoring of atmosphere CH4 based on a tunable diode laser spectrum system operating at 1.654μm. This technique is developed for improving the sensitivity and precision of CH4 concentration measurement with slow concentration change. The effectiveness of this technique is evaluated by performing CH4 concentration measurement and using it to monitor the varying methane level in the atmosphere. It was proved that signal noise ratio enhancement factor is 4.25. The comparison between this filter and moving average is also included in this article. It indicates the advantage of the α-β-γ real time filter.     

谐和与随机噪声联合作用下的粘弹系统

研究了粘弹系统在谐和与随机噪声联合作用下的响应和稳定性问题.用谐波平衡法和随机平均法分析了系统在确定性谐和激励和随机激励联合作用下的响应,讨论了粘弹项、随机扰动项对系统响应的影响.结果表明,在一定条件下,系统具有两个均方响应值和跳跃现象.数值模拟表明,谐波平衡法与随机平均法相结合的研究方法是有效的.     

Coexisting Condensates of Weakly Interacting Bose Gas in a Harmonic Trap

We study particles in a vortex state driven to a core state with lower energy and zero angular momentum by the trap potential asymmetries. We find that at T=0 when the role of the thermal gas can be ignored, there will be coexisting condensates. We also calculate the fluctuation of the number difference and argue that in certa/n range of the parameters the state of the whole system is the macroscopic quantum serf-trapping in the Josephson tunnelling regime.     

一类分段线性电路系统动力响应的增量谐波平衡计算格式

采用增量谐波平衡(IHB)方法导出一类分段线性电路系统稳态周期响应的计算格式,并对该系统进行了数值模拟,作出了特定控制参数下系统周期响应相图,同时获得了控制参数在某一带宽内变动时的系统响应特性,其结果与Runge Kutta方法进行了对比.     

Lattice Model with Traveling Compactons

We introduce a purely anharmonic lattice model with specific double-well on-site potential, which admits traveling compacton-like solitary wave solutions by the inverse method with the help of Mathematica. By properly choosing the shape of the solitary wave solution of the system, we can calculate the parameters of the specific on-site potential. We also found that the localization of the compacton is related to the nonlinear coupling parameter Cn1 and the potential parameter Vo of the on-site potential, and the velocity of the propagation of the compacton is determined by the localization parameter q and the potential parameter Vo. Numerical calculation results demonstrate that the narrow compacton is unstable while the wide compacton is stable when they move along the lattice chain.     

一种新型双间隙输出腔的理论和实验研究

从双间隙分离腔的色散关系式出发,通过数值计算求出了分离腔中IM010模对应的谐振频率,并给出了腔内轴向电场的分布图,证实了分离腔中存在着电场反相的π模场。因此,可以将其用作电场反相的双间隙输出腔,来实现双间障提取。并用2.5维粒子模拟程序——卡拉特（KARAT）程序对这种分离腔输出回路进行了粒子模拟和优化设计。通过详细的冷测和调试实验,研制出了中心频率为3.74GHz、QL值为7.8的低QL值双间隙输出腔。     

直流电场诱导LB膜中分子重新取向研究

用旋转二次谐波产生方法研究了半花菁/花生酸Y型交替LB多层膜中由外加法向直流电场诱导的分子的重新取向.外加法向直流电场能够有效地改变LB膜中光学活性半花菁分子的取向,迫使其长轴转向电场的方向.随着极化电场的增大,分子在基板平面内的各向异性逐渐减小,而二次谐波强度的增量则随外加电场的增大而呈现平方增长的规律.在室温下,用1.3×10⁶V/m的电场极化10min,可以使半花菁LB多层膜的二次谐波强度增大一个量级.     

非对称量子阱中的二阶非线性光学极化率

本文主要研究了一个特殊非对称量子阱中的二阶非线性光学极化率,并且利用量子力学中的密度矩阵算符理论和迭代方法导出了二次谐波极化率的解析表达式.最后,以典型的GaAs/AlGaAs非对称量子阱为例作了数值计算.数值结果表明,较大的二次谐波极化率与系统的非对称性有关,系统的非对称性越大,二次谐波极化率越大.