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The Journal of the Acoustical Society of America, 2008
Underwater explosion monitoring with sparse sensors at long ranges relies on the efficient propagation of acoustic energy in the sound fixing and ranging (SOFAR) channel. When sound traveling in this channel encounters an island or seamount, it will either diffract, scatter, or be converted into seismic energy.
Zachary Upton +2 more
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Underwater explosion monitoring with sparse sensors at long ranges relies on the efficient propagation of acoustic energy in the sound fixing and ranging (SOFAR) channel. When sound traveling in this channel encounters an island or seamount, it will either diffract, scatter, or be converted into seismic energy.
Zachary Upton +2 more
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Proceedings of Meetings on Acoustics, 2015
A ray mode adiabatic parabolic equation has been derived by the multi-scale expansions method. From this equation a single-mode Helmholtz equation has been obtained. Then, by using Babich method, we have obtained a mode parabolic equation in the ray centered coordinates from the derived Helmholtz equation.
Mikhail Yu. Trofimov +3 more
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A ray mode adiabatic parabolic equation has been derived by the multi-scale expansions method. From this equation a single-mode Helmholtz equation has been obtained. Then, by using Babich method, we have obtained a mode parabolic equation in the ray centered coordinates from the derived Helmholtz equation.
Mikhail Yu. Trofimov +3 more
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Modeling the acoustic vector field using parabolic equation and normal mode models.
The Journal of the Acoustical Society of America, 2010Numerical algorithms for computing the acoustic vector field, i.e., particle velocity and pressure from an acoustic propagation model, are introduced. Implementation using both a parabolic equation and normal mode approach is considered. The parabolic equation model employed uses a split-step Fourier algorithm, although application of the technique is ...
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The Journal of the Acoustical Society of America, 1987
Parabolic equation calculations are compared with stepwise coupled mode COUPLE calculations for a set of runs for which the two models have overlapping capability. The PE calculations were then extended to consider the additional case of refracting sediment. Normal mode start-up fields were used in the calculations.
James M. Syck, Joseph M. Monti
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Parabolic equation calculations are compared with stepwise coupled mode COUPLE calculations for a set of runs for which the two models have overlapping capability. The PE calculations were then extended to consider the additional case of refracting sediment. Normal mode start-up fields were used in the calculations.
James M. Syck, Joseph M. Monti
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Analytical Solution of the Parabolic Equation for Guided Mode Disappearance at a Critical Depth
1987The fundamental problem of guided mode disappearance at a critical depth during upslope propagation in a shallow water waveguide with variable depth overlying a fluid halfspace is reconsidered. Jensen and Kuperman’s numerical solutions based on a parabolic equation (PE) have stimulated a number of analytical and numerical studies based on models in ...
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The coupled mode parabolic equation
Journal of the Acoustical Society of America, 1997Michael D Collins +2 more
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