单连域无旋向量场的标量表示和场力线绘制  

Expressing in Scalar and Drawing of Electro-Lines on Simple-Connected Vortex-Free Vector Field

作　　者：董小刚[1] 李兰秀[2] 朱海军[1] 邹小兵[3] 

机构地区：[1]装甲兵工程学院控制系,北京100072 [2]北京师范大学物理系,北京100875 [3]清华大学电机系,北京100084

出　　处：《西南师范大学学报（自然科学版）》2011年第3期60-63,共4页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10035030)

摘　　要：为方便表述并按传统形式描绘向量场,基于经典物理思想和从头计算原则,利用现代计算机技术和数值模拟方法构建标量形式的向量场.以激光脉冲纳秒斩波开关和内置周期金环的CO2激光器放电管为例,针对单连通域中无旋向量场的边值问题,讨论了在平行平面场和旋转对称场情形下,场势函数数值求解后,场向量分布的标量构建和场力线分布的传统的可视化表述,提供了解决场强准确直观描述的一种有效方法.For indicating conveniently and depicting in traditional form of the vector field,based on the ideas of the classical physics and the calculations from the beginning,the vector field in the form of scalar was built with the technologies of numerical simulations and modern computer.The switch of nanosecond pulse of laser beam and the discharge capillary of CO2 laser with gold series-rings been as the examples and their boundary question of vortex-free vector field in simple-connected region concerned,the scalar building of vector field and customary visualizing of vector distributions in the field were discussed both in the cases of plane scalar and rotational symmetrical field and,in the foundation of field potential resolved.An effective method was realized and provided for the accurate and objective depictions of field vectors.

关 键 词：标量表示 数值模拟 激光器件 场力线绘制 

分 类 号：O441.4[理学—电磁学]