Related Experiment Video
Updated: Jun 2, 2026

11:08
Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
Published on: November 30, 2012
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.
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.
Related Concept Videos
Standing Waves in a Cavity
A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
Propagation of Waves
When a wave propagates from one medium to another, part of it may get reflected in the first medium, and part of it may get transmitted to the second medium. In such a case, the interface of the two mediums can be considered as a boundary that is neither fixed nor free.
Consider a scenario where a wave propagates from a string of low linear mass density to a string of high linear mass density. In such a case, the reflected wave is out of phase with respect to the incident wave, however the...
Consider a scenario where a wave propagates from a string of low linear mass density to a string of high linear mass density. In such a case, the reflected wave is out of phase with respect to the incident wave, however the...

