高斯光束的数值模拟新方法

基于高斯光束的单叶双曲面特征,给出了一种新的模拟高斯光束的数值方法.该方法将高斯光束视为由无数个共轴单叶双曲面构成的双曲线体,由束腰截面发射的光子传播方向是在经过该光子发射点的双曲面内两条直母线中等概率选择.这不仅符合光子沿直线传播,而且意味着大量光子的“平均”传播方向与相应高斯光束的波印廷矢量相同.数值模拟结果表明：该方法可高准确度地模拟高斯光束的几何构形、光强分布、光子的光程分布和波前曲率半径,而且模拟效率与现有的方法相近.     

高斯分布及截断和抽样

 详细推论了高斯分布的轴对称电子束的截断方法和确定截断因子的表达式。结果表明在截断因子为0.9时,电子束发射度等于均方根发射度的二倍, 而当电子束发射度等于均方根发射度时, 截断因子仅为0.59。给出了四维坐标变量的几率密度函数公式, 并简述了相应的抽样方法。     

A Double Gaussian Beam Method for the Determination of Particle Size,Direction and Velocity

This paper describes a technique aimed at measuring particle size by light scattering from gaussian laser beams. The uncertainties in illumination due to the beam shape are avoided by determination of the direction and velocity. The method, which we arbitrarily called the Two Beam System (TBS), uses a simple birefringent prism to separate the incident laser beam into two orthogonally polarised overlapping parallel beams. The relative delay and amplitudes of the intensities scattered out of the orthogonal polarisations are indicative of the particle direction and velocity. Having obtained the direction of travel of the particle, its size is then obtained from the scattered intensity using Mie theory.     

A Simple Method for Calculating Exciton Binding Energies in Semiconductor Quantum wires

We present a simple, general method for calculating the binding energies of excitons in semiconductor quantum wires. The binding energy is given by an integral (over the electron and hole two-dimensional coordinates perpendicular to the wire) of a prescribed function weighted by the squares of the electron and hole subband envelope functions. Taking as an example, we calculate the binding energy of exciton in quantum wires assuming an infinite confining potential. This method should be applicable to a variety of more complex systems.     

A Simple Model for Flashboard Plasma Expansion

A simple model for flashboard plasma expansion is presented. It is based on the j × B force and the fact that only a fraction a of the total current flows through the expanding plasma. For the parameters under consideration, maximum velocities are roughly proportional to a and reach 70 cm/?s for ? = 1. B-field profiles from the model are compared with experiment.     

Equations of State for Simple Liquids from the Gaussian Equivalent Representation Method

Within the framework of Gaussian equivalent representation method a new procedure of obtaining equations of state for simple liquids is discussed in some technical details. The developed approach permits one to compute partition and distribution functions for simple liquids with arbitrary form of the central two-body potential of inter-molecular interaction. The proposed approach might become of great use for computing thermodynamic and structural quantities of simple particle and polymer systems. We believe that this technique can also provide an interesting possibility to reduce the sign problem of other methods of computer simulation based on a functional integral approach.     

A Simple and Effective Method for Calculating the Bending Loss and Phase Enhancement of a Bent Planar Waveguide

A simple and effective method is introduced to calculate the bending loss and phase enhancement of a bent planar waveguide. The wave field is represented in terms of Airy functions and an eigenvalue equation is derived by matching the boundary conditions and the radiation condition in the outer cladding layer. The complex propagation constant is obtained by solving the eigenvalue equation with the Newton-Raphson method, and the imaginary part of the propagation constant gives directly the bending loss of the bent waveguide. The results are compared with the previous experimental and numerical results and are shown to be highly accurate and effective. The phase enhancement due to the bending is also studied.     

高阶模高斯光束整形方法研究

研究了高阶模高斯光束的整形方法.在高阶模高斯光束和平顶光束理论模型的基础上,分别选择了平项洛仑兹函数和费米狄拉克函数作为平顶光分布函数,利用能量守恒定律,分别推导针对拉盖尔-高斯光束和厄米特-高斯光束整形系统中入射光与出射光的映射函数.最后利用ZEMAX软件设计了针对TEM01模高斯光束进行整形的非球面透镜元件.结果表...     

高斯反射率输出镜改善光束质量的实验研究

非稳腔能产生大体积基模,具有好的空间选模特性,但在固体调Q激光器中,由于孔径光阑和热畸变的影响,非稳腔输出的横模并不光滑.使用高斯反射率耦合输出镜可较好地改善其输出光束质量,设计了平-凸非稳腔,使用Nd:YAG,电光调Q固体激光器进行实验,获得了较为平滑的远场光强分布,实验结果表明高斯反射率输出镜可较好地改善固体激光器中非稳腔输出光束质量.     

Gaussian Beam Construction for Adiabatic Perturbations

We construct wave packets concentrated near a single space-time trajectory of the semi-classical Hamiltonian for a Bloch electron in a crystal lattice subject to slowly varying external electric and magnetic fields. The use of an analog of the Gaussian beam Ansatz make it possible to construct packets for arbitrarily long finite times.      

一种简便的计算层析系统X射线硬化校正方法

以实物拍摄为依据,用一种最简便的修正方法解决计算机X射线层析术成像时由于硬化效应引起的切片图灰度失真问题。用高性能数字X射线机FAXITRON MX-20(射线管焦点20μm,探测板灰度等级16位)对不同厚度的物体进行透射成像,测得对应的透射光强度,并利用新创的指数拟合法得到理想的拟合曲线,由此推导硬化效应的指数校正公式;最后利用实验室的微型计算机层析设备进行扇形束扫描,并逆投影重建生成计算层析断层图像,验证了该校正方法的实用性。该指数拟合法的误差不到常用的二阶多项式拟合法的1/3,对物体计算层析重构,硬化校正以前有明显的“杯状”伪迹,切片灰度不均匀,用指数法修正以后该伪迹消失,切片灰度均匀。     

A Rigorous Method for Calculating the Casimir Effect

Using the Plana summation formula in complex variable function theory,we have calculated the Casimir energy related to the zero-point fluctuations of electromagnetic fields in three dimensional space without introducing any cutoff parameter or function.The finite analytical expression obtained coincides precisely with the known experimental and theoretical results.The Casimir effects in high dimensional space and relevant to massive scalar field are also discussed.     

Calculation of dissociation temperature of quarkonium using Gaussian Expansion Method

The dissociation temperatures of quarkonium states in a thermal medium are obtained in the framework of the quark model with the help of the Gaussian Expansion Method(GEM).This is the first time this method has been applied to the dissociation problem of mesons.The temperature-dependent potential is obtained by fitting the lattice results.Solving the Schr¨odinger equation with the GEM,the binding energies and corresponding wave functions of the ground states and the excited states are obtained at the same time.The accuracy and efficiency of the GEM provide a great advantage for the dissociation problem of mesons.The results show that the ground states1~1S_(0 )and 1~3S_(1 )have much higher dissociation temperatures than other states,and the spin-dependent interaction has a significant effect on the dissociation temperatures of 1~3S_(1 )and 1~1S_0.We also suggest using the radius of the bound state as a criterion of quarkonium dissociation.This can help to avoid the inaccuracy caused by the long tail of quarkonium binding energy dependence on temperature.     

A One-Dimensional Method for Calculating the Exit Wavefunction

We develop the multi-slice method for calculating wavefunction of a crystal consisting of atomic columns. The new method reduces numerical calculation from two dimensions to one dimension and is much faster than that of the traditional multi-slice method. The calculated result by the one-dimensional method is in agreement with that of the traditional one.     

高斯光束在梯度折射率纤维中的传播—振幅与光斑分布的解析解族

从近轴波动方程出发，导出在梯度折射率纤维中传播的高斯光束振幅与光斑分布的解析解族。从这一结果可得到高斯光束在抛物型、锥形、类锥形梯度折射率纤维中传播的一系列特解。     

Charmonium States in QCD-Inspired Quark Potential Model Using Gaussian Expansion Method

We investigate the mass spectrum and electromagnetic processes of charmonium system with the nonperturbative treatment for the spin-dependent potentials, comparing the pure scalar and scalar-vector mixing linear confining potentials. It is revealed that the scalar-vector mixing confinement would be important for reproducing the mass spectrum and decay widths, and therein the vector component is predicted to be around 22?%. With the state wave functions obtained via the full-potential Hamiltonian, the long-standing discrepancy in M1 radiative transitions of J/ψ and ψ′ are alleviated. This work also provides an inspection and suggestion for the possible cc? states among the copious higher charmonium-like states. Particularly, the newly observed X(4160) and X(4350) are found in the charmonium family mass spectrum as M(2¹ D ₂)?= 4164.9 MeV and M(3³ P ₂)?= 4352.4 MeV, which strongly favor the J ^PC ?=?2^?+, 2⁺⁺ assignments respectively. The corresponding radiative transitions, leptonic and two-photon decay widths have been also predicted theoretically for the further experimental search.     

基于泰伯效应的高斯光束尺寸测量

光栅用在高斯光束参数测量中的突出优点是方法简单，成本较低，全息光栅由于其制备容易，无周期误差而比一般光栅具有更多的优点。在用光栅进行光斑测量的实验中，观察到由全息光栅引起的泰伯（Ｔａｌｂｏｔ）效应携带有关光斑参数的有用信息，本文提出了一种基于泰伯效应的测量方法，只需测定条纹间隔就能确定高斯光束尺寸，因此降低了对光源或光栅定位精度，电路和光源稳定性的要求，文中聚焦高斯光束照明全息光栅时光场分布，及其     

DNA 环化时间的半经验计算方法

DNA 分子是生命遗传信息的主要物质载体。DNA 环化是DNA 不同位置所携带信息的一种协同实现方式。典型的例子是转录调控,增强子通过DNA 环化与启动子相互作用,从而实现了对基因表达水平的调控。因此,破译DNA 的环化动力学是解读基础生命过程的重要课题。本文在介绍DNA 结构和力学性质的基础上,综述DNA 环化时间的计算方法。在生理条件下,DNA 的主要性质特点是弯折柔性强,而扭转和拉伸刚性强;据此,DNA 环化可视作自发的熵减过程。运用热力学统计理论,可获得计算DNA 环化时间的半经验公式。公式中的参数可由单分子光谱共聚焦技术测得的数据确定。该公式表明,空间拓扑决定了环化概率,DNA 长度决定了环化时间。该公式适用于计算DNA 上的顺式元件之间、顺式元件与启动子之间的相互作用。其优点在于避开了DNA 结构和细胞核环境的复杂性。     

二十面体群C-G系数计算

本文简要介绍了计算Ｃ Ｇ系数的生群元矩阵方程法，给出计算二十面体群Ｃ Ｇ系数时采用的简化计算方法，并给出了Ⅰ群Ｃ Ｇ系数的计算结果。