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Scattering in a Pekeris waveguide from a rough bottom using a two-way coupled mode approach.

Steven A Stotts¹, David P Knobles, Robert A Koch

¹Applied Research Laboratories, The University of Texas at Austin, PO Box 8029, Austin, Texas 78713-8029, USA. stotts@arlut.utexas.edu

The Journal of the Acoustical Society of America

|May 17, 2011

Summary

Numerical simulations precisely model ocean bottom scattering using a coupled-mode formalism. This method accurately predicts scattered field levels but reveals limitations in capturing detailed structures compared to the Born approximation.

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Area of Science:

Ocean acoustics
Wave propagation modeling

Background:

Accurate modeling of acoustic wave scattering from rough ocean bottoms is crucial for underwater applications.
Existing methods like the Born approximation offer approximations but may lack precision in detailed scattering phenomena.

Purpose of the Study:

To numerically describe acoustic scattering from a rough ocean bottom using an advanced two-way coupled-mode formalism.
To compare the accuracy of this formalism against the Born approximation for scattering from a Pekeris waveguide.

Main Methods:

Implementation of a two-way coupled-mode formalism for an exact solution to the wave equation.
Numerical computation of both scattered field and direct blast components.
Comparative analysis of coupled-mode solutions with Born approximation (BA) for a rough bottom Pekeris waveguide.

Main Results:

The coupled-mode formalism provides an exact solution, accounting for scattering effects to all orders.
The Born approximation accurately predicts scattered field levels but fails to capture detailed scattering structures.
A clear transition from direct blast to scattered field dominance was identified in the total field time series.

Conclusions:

The two-way coupled-mode formalism offers a more comprehensive and accurate approach to modeling ocean bottom scattering than the Born approximation.
The study highlights the importance of higher-order scattering effects for detailed underwater acoustic analysis.
Understanding the transition in field dominance is key for interpreting acoustic signals in complex environments.