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Near Field Representations of the Acoustic Green's Function in a Shallow Ocean with Fluid-Like Seabed
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Robert Gilbert
Published/Copyright:
March 10, 2010
Abstract
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 [Exact and asymptotic representations of the sound field in a stratified ocean, Springer, 1977]. 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.
Key words and phrases:: Layered waveguide; acoustic Green's function; Helmholtz equation; near-field approximation; multiple-scattering representation
Received: 2006-04-25
Published Online: 2010-03-10
Published in Print: 2007-March
© Heldermann Verlag
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Keywords for this article
Layered waveguide;
acoustic Green's function;
Helmholtz equation;
near-field approximation;
multiple-scattering representation
Articles in the same Issue
- The Cauchy Transform for the Hodge/De Rham System and Some of its Properties
- Explicit Bounds for Composition Operators Preserving BMO(ℝ)
- A Dirichlet Problem for the Inhomogeneous Polyharmonic Equation in the Upper Half Plane
- The Monomiality Approach to Multi-Index Polynomials in Several Variables
- On the Global and Local Solution of the Multidimensional Darboux Problem for Some Nonlinear Wave Equations
- Completeness Theorems for Elliptic Equations of Higher Order with Constant Coefficients
- Generating Relations of Hermite–Tricomi Functions Using a Representation of Lie Algebra 𝑇3
- Near Field Representations of the Acoustic Green's Function in a Shallow Ocean with Fluid-Like Seabed
- An Initial-Boundary Value Problem for a Viscous Compressible Flow
- On the Measurability of Additive Functionals
- On BVPS for Strongly Elliptic Systems with Higher Order Boundary Conditions
- An Example of Fractal Singular Homogenization
- Solution of a Goursat Problem in Optimal Domains
