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

Zhang Peng

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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.

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.

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

Zhang Peng

Institute of Applied Mathematics, Academic Sinica, Beijing

Received Date: 1988-08-22
Publish Date: 1989-12-15

Abstract

Abstract

There are N domains D_j(j=0,1,...,N-1) of different physical parameters in the whole space and their interfaces S_j,i+1 are non-horizontally smooth curved surfaces. The following boundary problem is called Hclinholiz boundary problem:
∇²H^(j)+K_jH^(j)=0 (j=0,1,…,N-1)
(H⁽⁰⁾-H⁽¹⁾)S_0.1=δ(S) (δ(S):generalized function)
(H⁽¹⁾-H⁽ⁱ⁺¹⁾)S_j,j+1=0 (j=0,1,…,N-2)
The analytical solution of the above problem is given in this paper.

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References(8)

References

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