一类广义非线性扰动色散方程孤立波的近似解

采用了一个简单而有效的技巧,研究了一类非线性扰动色散方程.首先引入求解相应典型方程的孤立波解.然后利用同伦映射方法得到了原非线性扰动色散方程奇异孤立波的近似解.     

Controlled Dense Coding Using the Maximal Slice States

In this paper we investigate the controlled dense coding with the maximal slice states. Three schemes are presented. Our schemes employ the maximal slice states as quantum channel, which consists of the tripartite entangled state from the first party(Alice), the second party(Bob), the third party(Cliff). The supervisor(Cliff) can supervises and controls the channel between Alice and Bob via measurement. Through carrying out local von Neumann measurement, controlled-NOT operation and positive operator-valued measure(POVM), and introducing an auxiliary particle, we can obtain the success probability of dense coding. It is shown that the success probability of information transmitted from Alice to Bob is usually less than one. The average amount of information for each scheme is calculated in detail. These results offer deeper insight into quantum dense coding via quantum channels of partially entangled states.     

Rigorous Analysis of the Disk-Loaded Waveguide Slow-Wave Structures

Recently disk-loaded waveguide has been widely used in high-power traveling wave tubes (HPTWT). Although TM ₀₁ mode is it's main mode, the asymmetry mode may be excited by slight asymmetry of the structure, misalignment of the beam, or the asymmetry associated with the input or output structure. So research about asymmetry mode of disk-loaded waveguide is necessary. The general dispersion equation and interaction impedance expression of disk-loaded waveguide is obtained with accurate field theory for the first time. Based on these results, a broadband and a narrowband disk-loaded waveguides are designed which can be used in the Ka band HPTWT. Moreover, the theoretical calculated results are compared with the simulated results from the HFSS (High Frequency Structure Simulator) code using finite element method. It is found that frequency domain overlapped by these two modes of the narrowband structure is very narrow, so the HEM ₁₁ mode may be ignored when calculating Beam-wave interaction. In the other hand, the interaction impedance of HEM ₁₁ mode is very low generally.     

Padé approximations of quantized-vortex solutions of the Gross–Pitaevskii equation

Quantized vortices are important topological excitations in Bose–Einstein condensates. The Gross–Pitaevskii equation is a widely accepted theoretical tool. High accuracy quantized-vortex solutions are desirable in many numerical and analytical studies. We successfully derive the Padéapproximate solutions for quantized vortices with winding numbers ω = 1, 2, 3, 4, 5, 6 in the context of the Gross–Pitaevskii equation for a uniform condensate. Compared with the numerical solutions, we find that(1) they approximate the entire solutions quite well from the core to infinity;(2) higher-order Padé approximate solutions have higher accuracy;(3) Padé approximate solutions for larger winding numbers have lower accuracy. The healing lengths of the quantized vortices are calculated and found to increase almost linearly with the winding number. Based on experiments performed with ~(87)Rb cold atoms, the healing lengths of quantized vortices and the number of particles within the healing lengths are calculated, and they may be checked by experiment. Our results show that the Gross–Pitaevskii equation is capable of describing the structure of quantized vortices and physics at length scales smaller than the healing length.     

Use of the64Ni(36S,34,35Si)66,65Zn reactions to measure the masses of34Si and35Si

The ground-state masses of³⁵Si and³⁴Si have been measured using the reactions⁶⁴Ni(³⁶S,^35,34Si)^65,66Zn at a³⁶S beam energy of 198 MeV.^34,35Si¹⁴⁺ ions were analysed and identified in a QMG/2 magnetic spectrometer and gas-filled focal-plane detector. The experimental mass excess of³⁵Si was determined to be ?14.58± _0.12 ^0.07 MeV while that of³⁴Si was measured as ?19.961±0.034 MeV. A comparison is made with the results of mass model predictions.     

恒热流加热开口腔自然对流的可视化实验和数值模拟

本文采用激光全息干涉和激光片光照射烟可视化方法获得了恒热流加热的二维开口腔自然对流问题的温度场和流场,并进行了数值分析.实验结果与数值模拟结果吻合.数值计算表明方腔内流体的流通量与Ra*和深高比B有关,当Ra*＞104时随深高比B增加流通量增加;B×Nu与深高比B呈线性关系.利用B×Nu与深高比B的线性关系,通过引入当量导热系数λc,本文还给出了加热壁面的平均温度的简单计算方法.     

一种新型温度自补偿高灵敏度折射率计

基于高频CO2激光脉冲写入的新型超长周期光纤光栅(ULPFG),提出了一种可实现温度自补偿的新型高灵敏度折射率计。理论与实验表明,新型超长周期光纤光栅不同闪耀阶次谐振峰对外界折射率与温度变化的灵敏度各自不同,特别的是,该光栅存在对外界折变不敏感的谐振峰,测量中除了可以利用该峰实现温度同时测量外,还可以补偿另一个测量折变的谐振峰因温度变化带来的测量误差。该折射率计具有制作简单、成本低、强度好,灵敏度高等优点,当外界折射率在1.43~1.45范围内变化时,其折射率测量灵敏度可达每单位折射率240 nm,在实际工业应用中具有较大的潜在实用价值。     

多频多色光谱角色散束匀滑新方案

典型的光谱角色散技术中,由于光束带宽受限于高效三倍频,因而无法通过增大带宽来进一步改善焦斑均匀性.结合对四色打靶方案和多级相位调制技术的综合分析,提出了多频、多色光谱角色散束匀滑新方案.该方案能在保持高效三倍频基础上,获得带宽有所加宽,光谱包络近似连续的光源,且在远场匀滑上具有更为独特的优势.结果表明,采用束匀滑新方案后,虽然焦斑会有所增大,但其均匀性却得到明显改善;与典型的束匀滑方案相比,该方案能更为有效地抑制热斑,且达到最佳匀滑效果所需的时间有所减短.此外,通过对阵列光栅中子光栅刻线方向的自由组合可以实现多维光谱角色散的效果.     

管内变密度流体流动与换热的充分发展及解析解

本文提出了圆管内变密度流体流动与换热充分发展的概念和相关假设及其推论.在所提出的概念和假设基础上对理想气体在圆管内的流动与换热进行了解析求解,得到了充分发展时的无量纲速度抛物分布及无量纲温度分布.对圆管内密度随温度变化的氩气的流动与换热数值模拟所获得的无量纲速度分布及无量纲温度分布在入口段后与上述解析解非常吻合,从而验证了在本文的计算条件范围内,圆管内变密度流体充分发展流动与换热的概念及其解析解是合理的.