地震学报2011，Vol.33Issue(5)：683-690,8.DOI:10.3969/j.issn.0253-3782.2011.05.012
两斜交柱坐标系间谐波函数坐标变换的辅助平面方法
An auxiliary plane method for harmonic function transformation between two skew cylindrical coordinate systems
摘要
Abstract
Aiming at the coordinate transformation in studying a 3-D seismic response with wave function expansion method, this paper presents an auxiliary plane method for harmonic function transformation between two skew cylindrical coordinate systems. By creating a series of auxiliary plane corresponding to spatial points, the 3-D harmonic wave function is transformed from cylindrical coordinate system to planar polar coordinate. Then the wave function under a cylindrical coordinate system is transformed into another one, which is skew to the former, by using the Graf's addition formula on the auxiliary plane. Thus the 3-D problem is turned into two-dimensional. Finally, the coordinate transformation formula between two skew cylindrical coordinate systems is given.关键词
地震波/辅助平面方法/斜交柱坐标系/Graf加法公式Key words
seismic wave/ auxiliary plane method/ skew cylindrical coordinate systems/ Graf's addition theorem分类
天文与地球科学引用本文复制引用
马宏伟,陈文化..两斜交柱坐标系间谐波函数坐标变换的辅助平面方法[J].地震学报,2011,33(5):683-690,8.基金项目
国家自然科学基金项目(50678021)资助. （50678021）
