计算机仿真环境下电子双缝衍射的实验方案

在一般的近代物理实验教材中，关于电子衍射实验采用的是晶体表面反射衍射或金属箔透射衍射。本文提出一套基于双缝衍射的、用于研究微观粒子波粒二象性的电子衍射实验方案，并且鉴于在一般的实验中不具备进行电子双缝衍射实验的条件，本实验方案是在电子双缝衍射计算机模拟的仿真环境下进行的。     

电子双缝衍射实验的计算机模拟

根据电子双缝衍射实验中电子在衍射观察屏上出现的相对几率分布,用计算机模拟在不同电子数情况下的电子衍射图样。     

用Matlab比较双缝干涉和双缝衍射

运用Matlab软件,对双缝衍射和双缝干涉、单缝衍射的光强分布和谱线特征进行了数值模拟,绘出实验中难以观察到的光强分布图,比较出双缝衍射与双缝干涉及单缝衍射的联系与区别。     

双缝衍射现象的实验研究

双缝衍射是指被单缝衍射调制的双缝干涉现象. 以定性分析双缝衍射光强分布为基础,对双缝衍射实验过程中出现的各级明条纹中心的光强并不相等,且包络内中间光强并不是最大的现象作了深入分析和研究,并指出这些现象出现的原因.     

用量子理论方法研究C60双缝衍射

目前,已有大量的实验和理论对各种粒子的衍射现象进行了深入的研究.我们用量子理论新方法研究C60分子的双缝衍射,从薛定谔方程和基尔霍夫定律出发求得到C60分子的双缝衍射波函数,与实验数据比较我们发现:在考虑C60分子的双缝衍射中退相干机制对衍射图样的影响后所得的结果与实验符合较好.     

模拟分析光的衍射与干涉

基于物理光学的惠更斯-菲涅耳原理及基尔霍夫积分公式,应用Matlab软件编程模拟了光的单缝衍射和双缝衍射(干涉),从而形象地给出了衍射和干涉的内在区别和联系,也为相关的光学教学设计提供了新思路.     

菲涅耳衍射的数值计算

利用Mathematica软件分别计算了单缝衍射及双缝衍射的光强分布,成功解决了菲涅耳衍射的计算这一较难问题,并得到了双缝衍射向杨氏双逢干涉过渡的具体条件,完成了实验室内难以完成的任务.     

量子理论新方法研究光的双缝衍射

用量子理论新方法研究光的双缝衍射实验现象,首先用光的量子理论计算光在缝中双缝衍射的波函数,再由基尔霍夫定律计算光的衍射波函数,由衍射强度正比于衍射波函数模方,从而得到光双缝衍射强度的解析式,把量子理论计算结果和经典电磁理论计算结果以及与实验数据三者进行比较,发现量子理论结果与实验数据符合更好,而经典电磁理论计算结果与实验有一定偏差.从而说明量子理论更能精确解释光的衍射现象.该方法还可进一步研究光的单缝、多缝以及光栅衍射的实验现象.     

量子力学虚拟实验的MATLAB演示

量子力学是一门较抽象的科学.为了更直观、形象地展示量子力学中的一些物理原理和实验现象,本文利用MAT-LAB软件搭建了一个量子力学的虚拟演示平台,可以生动地演示电子双缝衍射、量子隧穿效应、氢原子电子云和斯塔克效应等现象.通过相关物理参数的输入以及物理现象的演示,可以使学生在量子力学的学习中获得更直观的教学感受.     

三维电子回旋脉塞的数值模拟研究

为了打破二维模拟回旋脉塞的一些局限性,研究了电子回旋受激辐射的基本原理,使用唯象的描述方法,以统计物理学为基础,在电子回旋中心坐标系中完成了三维Yee网格模型中对电子注平衡态物理模型的数值建模,并结合PIC方法和FDTD算法进行电子回旋脉塞的数值模拟.为了减少计算时间,在模拟中加入了MPI并行算法,加速比能提高到2.7以上.最后以一个94 GHz的回旋振荡管为例,对它的整体结构进行了模拟,并通过对频谱,功率,工作模式等方面验证了模拟的正确性. 关键词： 电子回旋脉塞 Yee网格模型 PIC方法 FDTD算法     

1维亚微米弹道二极管在不同外加电压脉冲下的数值模拟

 以适合亚微米器件的流体动力学模型为基础，建立了1维数值模拟程序，程序中采用耦合牛顿法求解非线性方程组。应用该程序对亚微米1维弹道二极管进行了瞬态数值模拟，分析了外加低电压和高电压脉冲情况下的电场强度、载流子浓度、载流子温度等参数的变化情况。低电压脉冲下的结果与文献一致；对于文献中并未开展的高电压脉冲下的模拟，得到了器件处于非正常工作状态的各参数分布曲线，并尝试用二次击穿理论对结果进行分析。结果显示:随着外电压的升高，载流子的碰撞电离将导致少子空穴浓度急剧增大，并达到与电子浓度相同的量级，这时在器件分析中空穴方程已不能省略，并且载流子浓度将取代掺杂浓度控制电势分布，并进而影响电场及电流密度，涌极附近电场将增强，电流密度也将迅速增加。结论可为研究瞬态电磁脉冲对2维器件的损伤效应提供参考。     

Computer simulation of Fraunhofer diffraction based on MATLAB

In this paper, we describe a novel computer simulation technique of generating Fraunhofer diffraction images from different patterns. The simulation can be performed in almost any PC using the software MATLAB. The patterns of five types of elements, including one slit, one rectangular aperture, two rectangular apertures, the grating and one circular aperture are discussed and simulated. Diffractions images can be generated for any wavelength of light and for any program are presented. Finally, the Fraunhofer diffraction optical intensity distribution is analyzed. Simulation results can improve the physics experimental teaching of Fraunhofer diffraction. The programs based on MATLAB have been used as the platform to real-time calculation and simulation and solve the optical problem.     

Numerical simulation of particle dynamics in a storage ring by using BETACOOL program

The BETACOOL program, developed by electron cooling group of the Joint Institute for Nuclear Research (JINR), is a set of algorithms based on common format of input and output files. The program is oriented toward simulation of the ion beam dynamics in a storage ring in the presence of cooling and heating effects. The version presented in this report includes three basic algorithms: simulation of root-mean-square (rms) parameters of the particle distribution function evolving in time, simulation of the distribution function evolution using the Monte Carlo method, and a tracking algorithm based on a molecular dynamics technique. The general processes investigated with the program are intrabeam scattering in the ion beam, electron cooling, and interaction with residual gas and an internal target.     

Simulation of X-ray diffraction profiles in multilayers by direct wave summation: Application to asymmetric reflections

A novel algorithm for the simulation of the X-ray diffraction profiles in multilayers is developed, which can be applied to any multilayered structure, with no limitations. The simulation program in the MATLAB format is based on the direct summation of waves scattered by individual atomic planes. It takes into account the strain and concentration-induced fluctuations of interplanar spacings, interface roughness and buried amorphous layers, and enables adding the diffuse scattering contributions of the Gaussian or Lorentzian types.The summation over individual layers can be done coherently or incoherently, depending on the interface structure. In order to visualize the steps of the fitting procedure, the contribution of each layer can be plotted separately.In this paper the simulation routine is described with a focus on handling asymmetric reflections. We stress that in this case, the effective thickness of the layers, participating in the formation of diffraction signals, can be very different for low or high X-ray incidence angles. We also show that in contrast to symmetric reflections, when treating the asymmetric ones, an additional phase shift depending on the distance between the sample and detector, should be taken into account. The simulation program is applied to fit experimental diffraction profiles, symmetric and asymmetric, taken from the MOVPE-grown heterostructures and superlattices of practical importance, based on the InGaAsP/InP materials system.     

拉氏程序使用减敏模型模拟炸药绕爆问题

利用二维拉氏非结构网格爆轰流体程序对高能炸药的爆轰波绕爆问题进行数值模拟.拉氏程序对绕爆问题进行模拟时,会引起网格严重扭曲,导致网格大变形.使用JWL状态方程和三项式反应率,拉氏程序得到的绕爆数值结果与实验定性相同,较好地模拟了爆轰波绕爆过程中的漩涡现象.为了模拟一些钝感炸药在绕爆过程中的死区现象,在炸药反应率中加入减敏因子,模拟结果捕捉到死区,并与国外文章中的数值模拟结果定性相同.     

强流电子束阻抗对相对论速调管放大器注入及群聚特性的影响分析

通过数值计算及粒子模拟程序, 分析了强流电子束阻抗、电压及电流特性对相对论速调管放大器(relativistic klystron amplifier, RKA)中束流调制、群聚特性的影响, 其中粒子模拟程序中采用 束发射方式以精确控制电子束的阻抗.结果表明, 低阻抗电子束有利于减小群聚距离, 缩短RKA器件的整体长度, 不利于注入微波对电子束的调制, 而高阻抗电子束情况正好相反.在电子束阻抗不变时, 增加电子束加速电压类似于增大电子束阻抗的情况.另外, 用粒子模拟方法确定了不同阻抗电子束对特定输入腔的电子负载电导, 从而可以得到不同阻抗的强流电子束对种子源 功率水平的需求以及对输入腔外观品质因数的要求. 关键词： 相对论速调管放大器 电子束阻抗 群聚距离 输入调制     

微脉冲电子枪模拟计算

用模拟计算的方法,研究了微脉冲电子枪的束流动力学行为.基于微脉冲电子枪的工作原理和束流动力学特点,用VC++语言编制了微脉冲电子枪的辅助设计软件—SEEG对微脉冲电子枪中电子的三维运动进行多粒子跟踪模拟.文中给出了模拟计算的基本原理,经过SEEG程序稳定性的测试,最后应用SEEG程序模拟了一个微脉冲电子枪的束流运动特性.     

Computer simulation of Fresnel diffraction from rectangular apertures and obstacles using the Fresnel integrals approach

In this paper, we describe a new computer simulation technique of generating Fresnel diffraction images from rectangular apertures of arbitrary dimensions by using Fresnel integrals instead of the more common fast Fourier transform methods. The simulation can be performed in almost any PC using the software MATLAB. Diffraction images can be generated for any wavelength of light and for any aperture–screen and aperture-source distances. Images for rectangular obstacles can also be simulated. Details of the algorithm and program are presented, as well as the interesting insights than can be gained from using the program. Finally, it is shown that the simulated images reduce to the simple Fraunhofer diffraction patterns for certain limiting situations.     

相对论Klystron双流放大器电子注的成形

 相对论双流放大器是一种结构简单、高效率的高功率微波器件。其作用机理是沿同一方向传播的两束同心的环形电子束之间的双流不稳定性。这种双流不稳定性导致两个电子束之间的能量交换,最后由输出腔变成微波放大输出。相对论双流放大器成功的关键之一就是同一方向传播的两束同心的环形电子束的成形,利用MAGIC粒子模拟程序,对相对论双流放大器电子注的成形进行了粒子模拟。通过粒子模拟,证实了选择合适的参数来形成两束环形同心束是可行的。     

Physical Optics Simulation in Matlab for High-Performance Systems

Two advanced optical system applications are implemented in a Matlab™ based simulation engine. The applications are aligning a micro-optic fiber coupler and scanning an optical disk with a readout system having an effective numerical aperture of 1.8. Many phenomena, like scalar diffraction, vector diffraction, addition of aberrations, thin-film interactions, and Babinet decomposition are described in the examples. A powerful graphical user interface (GUI) is also described that allows users to define optical elements, program operations and control program flow. Users can also easily interface custom field operations to the simulation engine.