Erratum: ‘‘A coupled mode solution for acoustic propagation in a waveguide with stepwise depth variations of a penetrable bottom’’ [J. Acoust. Soc. Am. 74, 188–195 (1983)]

1983 ◽  
Vol 74 (6) ◽  
pp. 1910-1910
Author(s):  
R. B. Evans
Keyword(s):  
Acoustic Propagation ◽  
Coupled Mode ◽  
Mode Solution

TWO-WAY COUPLED-MODE SOLUTIONS IN THE COMPLEX HORIZONTAL WAVENUMBER PLANE

2008 ◽  
Vol 16 (02) ◽  
pp. 225-256 ◽  
Author(s):  
STEVEN A. STOTTS
Keyword(s):  
Normal Modes ◽  
Lanczos Method ◽  
Numerical Implementation ◽  
Coupling Coefficients ◽  
Equation Solution ◽  
The Real ◽  
Coupled Equations ◽  
Coupled Mode ◽  
Layer Mode ◽  
Mode Solution

A coupled-mode formalism based on complex Airy layer mode solutions is presented. It is an extension into the complex horizontal wavenumber plane of the companion article [Stotts, J. Acoust. Soc. Am.111 (2002) 1623–1643], referred to here as the real horizontal wavenumber version, which accounted for general ocean environments but was restricted to normal modes on the real horizontal wavenumber axis. A formulation of the expressions for both trapped and continuum complex coupling coefficients is developed to dramatically reduce computer storage requirements and to make the calculation more practical. The motivation of this work is to demonstrate the numerical implementation of the derivations and to apply the method to an example benchmark. Differences from the real horizontal wavenumber formalism are highlighted. The coupled equations are solved using the Lanczos method [Knobles, J. Acoust. Soc. Am.96 (1994) 1741–1747]. Comparisons of the coupled-mode solution to a parabolic equation solution for the ONR shelf break benchmark validate the results.

A coupled-mode solution for sound propagation in range-dependent waveguides

2012 ◽  
Author(s):  
Wenyu Luo ◽  
Chunmei Yang ◽  
Jixing Qin ◽  
Renhe Zhang
Keyword(s):  
Sound Propagation ◽  
Coupled Mode ◽  
Mode Solution

An Efficient Coupled-Mode Formulation for Acoustic Propagation in Inhomogeneous Waveguides

2016 ◽  
Vol 24 (01) ◽  
pp. 1550019
Author(s):  
Chunmei Yang ◽  
Wenyu Luo ◽  
Renhe Zhang ◽  
Liangang Lyu ◽  
Fangli Qiao
Keyword(s):  
Water Column ◽  
Sound Speed ◽  
Sound Propagation ◽  
Acoustic Propagation ◽  
Two Dimensional ◽  
Speed Profile ◽  
Benchmark Problem ◽  
Sound Speed Profile ◽  
Coupled Mode ◽  
Sloping Bottom

The direct-global-matrix coupled-mode model (DGMCM) for sound propagation in range-dependent waveguides was recently developed by Luo et al. [A numerically stable coupled-mode formulation for acoustic propagation in range-dependent waveguides, Sci. China G: Phys. Mech. Astron. 55 (2012) 572–588]. A brief review of the formulation and characteristics of this model is given. This paper extends this model to deal with realistic problems involving an inhomogeneous water column and a penetrable sloping bottom. To this end, the normal mode model KRAKEN is adopted to provide local modal solutions and their associated coupling matrices. As a result, the extended DGMCM model is capable of providing full two-way solutions to two-dimensional (2D) realistic problems with a depth- and range-dependent sound speed profile as well as a penetrable sloping bottom. To validate this model, it is first applied to a benchmark problem of sound propagation in a plane-parallel waveguide with a depth- and range-dependent sound speed profile, and then it is applied to a problem involving both an inhomogeneous water column and a sloping bottom. Comparisons with the analytical solution proposed by DeSanto and with the numerical model COUPLE are also provided, which show that the extended DGMCM model is accurate and efficient and hence can serve as a benchmark for realistic problems of sound propagation in an inhomogeneous waveguide.

scholarly journals A numerically stable coupled-mode solution for sound propagation in range-dependent waveguides

2013 ◽  
Author(s):  
Wenyu Luo ◽  
Chunmei Yang ◽  
Jixing Qin ◽  
Renhe Zhang
Keyword(s):  
Sound Propagation ◽  
Coupled Mode ◽  
Mode Solution
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