Zhang Peng. The Analytical Solution for Helmholtz Boundary Problem in Non Horizontally Stratified Domains[J]. Applied Mathematics and Mechanics, 1989, 10(12): 1077-1088.
Citation: Zhang Peng. The Analytical Solution for Helmholtz Boundary Problem in Non Horizontally Stratified Domains[J]. Applied Mathematics and Mechanics, 1989, 10(12): 1077-1088.

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

  • Received Date: 1988-08-22
  • Publish Date: 1989-12-15
  • There are N domains Dj(j=0,1,...,N-1) of different physical parameters in the whole space and their interfaces Sj,i+1 are non-horizontally smooth curved surfaces. The following boundary problem is called Hclinholiz boundary problem:
    2H(j)+KjH(j)=0 (j=0,1,…,N-1)
    (H(0)-H(1))S0.1=δ(S) (δ(S):generalized function)
    (H(1)-H(i+1))Sj,j+1=0 (j=0,1,…,N-2)
    The analytical solution of the above problem is given in this paper.
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