强流电子光学系统电子轨迹模拟的虚边界元方法研究

【作者】 殷海荣；

【导师】 宫玉彬；

【作者基本信息】 电子科技大学 ， 电子科学与技术， 2006， 硕士

【摘要】 强流电子枪是微波与毫米波电真空器件的重要部件之一,它的设计对于微波毫米波器件的性能有着至关重要的影响。至目前,计算机辅助设计已经成为强流电子枪设计的常用手段。本论文从电磁场的计算方法、电子轨迹模拟的数学建模和电子轨迹模拟的程序设计三个方面对强流电子枪电子轨迹的模拟进行了研究,并利用FORTRAN语言编写了强流电子枪电子轨迹模拟程序VBGUN。本论文的主要工作和创新性体现在以下几个方面:1.详细讨论了边界积分方程法计算电磁场的数学模型和矩阵积分方程组的建立方法,对边界的离散、网格的划分、电位的计算和贮存等过程分别进行了讨论。2.使用了一种新方法,虚边界元方法用于强流电子枪电子轨迹的模拟,这种方法与边界元法一样不须要对所有场域进行计算,对于不封闭场域不须要做特殊处理,从而避免了有限元法和有限差分法的方法缺陷,它具有计算速度快的优势,且不存在边界元法所不可避免的奇异积分。3.从数学上证明了虚边界元方法,并从理论上对虚边界元方法中虚边界的形状位置进行了讨论。4.利用虚边界元方法,开发了强流电子枪电子轨迹模拟程序VBGUN。5.利用VBGUN,对电场进行了计算,验证了关于虚边界形状位置的理论结论;对强流电子枪进行了计算,计算结果表明在取定最佳虚边界形状位置的时候,虚边界元方法能够得到优于边界元法的计算结果。6.利用VBGUN,进行了小型化电子枪的初步设计,所得到的各个强流电子注参量符合设计要求。更多还原

【Abstract】 High current electron gun(HCEG) is an important component and significant to performance of microwave and millimeter wave tubes. Today, computer CAD is a usual method in HCEG’s design. This tusk is done by program constructed by appropriate method. So, this thesis talks about electron trace modeling by investigating method of calculating electromagnetic field, mathematic model of modeling electron trace, and how to program. A electron trace modeling program, VBGUN has been programmed using FORTARN language. The work and novelty of this thesis includes the several aspect following.1.Particularly investigated the mathematic model of boundary integrating equation method and the constructing of matrix equations, including dispersing boundaries, compartmentalizing grids, voltage calculating and reserving.2.Using a new method, virtual boundary element method (VBEM) to electromagnetic calculating. This method, same as boundary element method (BEM), need not analysis all the field area, and need not specially deal with no closed in boundaries. Future more, VBEM has advantage in calculating speed, and can avoid singularity integrating being predestined in BEM.3.Proved VBEM mathematically, and derived the essential terms that the virtual boundary must satisfy.4.A electron trace modeling program, VBGUN has been finished by VBEM.5.The theory results about virtual boundaries in VBEM has been validated by field calculating results using VBGUN.6.Using VBGUN for small electron gun preparatory design, the following parameters were accord with the necessities.更多还原