亮点周围的衍射模式

DIFFRACTION PATTERN AROUND SINGULAR POINT

将衍射问题研究中的回波解析奇性归结为探讨含参量的振荡积分的渐近性态问题，并利用广义函数的算子理论，以十分简捷的方式给出了上述振荡积分的稳定位相公式，以及结合Ｔｈｏｍ理论逐一地算出非退化奇点、岐点和脐点周围的衍射模式．

In the research of the problems In diffraction, we ascribe analytical singularity of back wave to asymptotic behavior problems of oscillatory integral for that parameter.Using the operator theory of generallied function,this paper gives stability phase formula of the fronta oscillatory Integral In a simple way. With the Thom theory, It can be applied to calculate the diffraction pattern around undecayed singular point, bifurcation point and umbilic point.