数学物理学报 ›› 1981, Vol. 1 ›› Issue (2): 165-176.

• 论文 • 上一篇    下一篇

赫姆霍兹方程在聚焦面旁的渐近解

李志深   

  1. 兰州大学数学力学系
  • 收稿日期:1980-06-05 出版日期:1981-06-26 发布日期:1981-06-26

ASYMPTOTIC SOLUTION OF HELMHOLTZ'S EQUATION NEAR A CAUSTIC

Li Zhishen   

  1. Lanzhou University
  • Received:1980-06-05 Online:1981-06-26 Published:1981-06-26

摘要: 本文用短波近似法求得赫姆霍兹方程(3)在光滑凸聚焦面近旁的渐近解,并讨论了有关问题的物理意义。

Abstract: In this paper we obtained the asymptotic solution of Helmholtz's ēquation(▽2+k2a(x))u=0 near a smooth convex caustic by means of the approximate method of short-wave and discussed the physical significance of the problems related to the asymptotic solution.