Near field representations of the acoustic Green's function in a shallow ocean with fluid-like seabed

被引：0

作者：

Gilbert, Robert ^{[1
]}

Ou, Miao-Jung ^{[1
]}

机构：

[1] Univ Delaware, Dept Math Sci, Newark, DE 19716 USA

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2007年 / 14卷 / 01期

关键词：

layered waveguide; acoustic Green's function; Helmholtz equation; near-field approximation; multiple-scattering representation;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the near-field approximation of the acoustic Green's function in a two-layer waveguide is constructed by using a variation of the method of Ahluwalia and Keller [1]. The relation between the constructed multiple-scattering representation (suitable for near-field) and the Hankel transform representation (suitable for mid-range) is also discussed in this paper. The construction scheme presented in this paper can be generalized for an N-layer waveguide.

引用

页码：109 / 122

页数：14

共 7 条

[1]

Ahluwalia D., 1977, Lecture Notes in Phys., V70, P14

[2]

Bergman S., 1953, KERNEL FUNCTIONS ELL

[3] A uniqueness theorem of the 3-dimensional acoustic scattering problem in a shallow ocean with a fluid-like seabed [J].