摘要
本文比较详细地讨论和分析了均匀介质中零偏移距散射曲面拓扑奇性和相应回波解析奇性之间的关系和分类.其基础是衍射理论的Kirchhoff积分,原理是通过曲面几何函数的解析奇性和距离函数的拓扑奇性之间的联系.基本的数学工具是Morse理论和突变理论.
The classification and relation between analytical singularity of back wave and correspondent topological singularity of diffraction surface with zero bias in even medium are discussed and analyzed in detail. The basis is Kirchhoff integral of diffration theory. The principle is the relation between the analytical singularity of surface geometric function and topological singularity of distance function. The mathematical tool is Morse theory and real variable theory.
出处
《地球物理学报》
SCIE
EI
CAS
CSCD
北大核心
1993年第4期489-509,共21页
Chinese Journal of Geophysics
基金
国家自然科学基金
中国科学院
中国石油天然气总公司
大庆石油管理局联合资助的课题
关键词
均匀介质
散射
拓扑奇性
岐点
Analytical singularity of back wave, Topological singularity of surface, Real variable theory, Forked set. Bifurcation point.
