General Analytical Coupled-mode Solution of Multiwaveguide Systems

2018 ◽  
Author(s):  
Nitzan Shitrit ◽  
Vladislav Shteeman ◽  
Amos A. Hardy
Keyword(s):  
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

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

AN EFFICIENT AND NUMERICALLY STABLE COUPLED-MODE SOLUTION FOR RANGE-DEPENDENT PROPAGATION

2012 ◽  
Vol 20 (03) ◽  
pp. 1250008 ◽  
Author(s):  
WENYU LUO ◽  
RENHE ZHANG ◽  
HENRIK SCHMIDT
Keyword(s):  
High Efficiency ◽  
High Accuracy ◽  
Bottom Slope ◽  
Numerical Examples ◽  
Coupled Mode ◽  
High Impedance ◽  
Impedance Contrast ◽  
Mode Solution ◽  
The Stability ◽  
Single Scatter

An efficient and numerically stable coupled-mode solution is presented for acoustic propagation in a range-dependent waveguide. This model is numerically stable due to the appropriately normalized range solutions introduced in the formulation. In addition, by combining a forward marching and a backward marching, this model provides accurate solutions for range-dependent waveguides characterized by large bottom slope angles and/or high impedance contrast. Besides high accuracy, this two-way solution also provides high efficiency, which is achieved by applying the single-scatter approximation. Numerical examples are also provided to demonstrate the stability, accuracy, and efficiency of this model.

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