摘要
利用复射线理论将惠更斯原理推广到复空间,给出一种波场计算的简便方法。本文以均匀柱面地震波在平界面上的反射为例,计算了在部分反射、全反射和临界角过渡区的场分布,并与平面波谱积分解进行了比较。结果表明,用复惠更斯原理可以自动平滑过渡区反射场的奇异性,因而该方法可直接处理焦点、焦散线和全反射过渡区等复杂的波场分析与综合问题。
Huyghens principle is extended into complex space by complex ray theory,and a simple method for wavefield computation is developed.As an example,an isotropiccylindrical wave reflected at a plane interface is considered.The field distributions in re-gions of partial reflection,totally internal reflection and critical reflection are evaluatedby this method,and compared with the results from planewave spectral integral.It isshown that complex Huyghens' principle can uniform the field singularity in the transitionregion automatically.Therefore,the method may be employed to deal with thecomplicated wavefield analyses and syntheses in focus,caustic and transition regions.
出处
《电子科技大学学报》
EI
CAS
CSCD
北大核心
1990年第4期336-341,共6页
Journal of University of Electronic Science and Technology of China
基金
国家教委博士点专项科研基金
高等学校重点学科建设基金
关键词
地震波
惠更斯原理
反射场
seismic wave
complex ray
Huyghens' principle
