两种正交曲线坐标系单位矢量间的一般表达式  

General Expressions Between Unit Vectors of Two Curvilinear Orthogonal Coordinate Systems

作　　者：易辉跃[1] 唐斌[1] 晏才宏[1] 周希朗[1] 

机构地区：[1]上海交通大学电子工程系,上海200030

出　　处：《微波学报》2001年第3期62-68,共7页Journal of Microwaves

摘　　要：本文采用不同的分析思路 ,导出了曲线坐标系与直角坐标系单位矢量间简明的解析关系 ,并推广到更一般的情况—任何两种正交曲线坐标系单位矢量间的关系。只要一种正交曲线坐标系与直角坐标系或另一种正交曲线坐标系坐标间的单值关系已知 ,利用这些关系式即可得到正交曲线坐标系与直角坐标系或另一种正交曲线坐标系单位矢量间的关系。利用文献上已有的正交曲线坐标系坐标间的单值关系 ,文中提供了正交曲线坐标系与直角坐标系及圆柱坐标系单位矢量间的变换矩阵 。Concise expressions between unit vectors of curvilinear orthogonal coordinate systems and those of cartesian coordinate system were derived in terms of different analytical ideas. These expressions were expanded to more general relations between unit vectors of two curvilinear orthogonal coordinate systems. With the help of these expressions, relations between unit vectors of a curvilinear orthogonal coordinate system and those of cartesian coordinate system or another curvilinear orthogonal coordinate system can easily be obtained as long as the single value relations between these two coordinates are known. By means of the relations between curvilinear orthogonal coordinates provided by other authors, the transformation matrixes between unit vectors of curvilinear orthogonal coordinate systems and those of cartesian coordinate system or another curvilinear orthogonal coordinate system were given.

关 键 词：正交电线坐标系 单位矢量 变换矩阵 电磁场 边值问题 

分 类 号：TM153[电气工程—电工理论与新技术]