非水平分层区域Helmholtz边值问题的解析解

The Analytical Solution for Helmholtz Boundary Problem in Non Horizontally Stratified Domains

在(x,y,z)直角坐标系中,N个物性参数不同的区域D_j(j=0,1,…,N-1)充斥着整个空间,这些区域间的分界面是非水平的光滑曲面S_(j,j+1)下面的边值问题称为非水平分层区域Helmholtz边值问题:(?)~2H^(j)+K_jH^(j)=0(j=0,1,…,N-1)(H^(0)-H^(1))S_(0.1)=δ(S)(δ(S):广义δ-函数)(H^(j)-H^(j+1))S_(j,j+1)=0(j=1,…,N-2)本文给出了此问题的解析解.

There are N domains of different physical parameters in the whole space and their interfaces are non-horizontally smooth curved surfaces. The following boundary problem is called Helmholtz boundary problem: generated function) The analytical solution of the above problem is given in this paper.