Acta mathematica scientia,Series A ›› 1981, Vol. 1 ›› Issue (2): 165-176.

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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

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.

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