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  • 1
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    Acoustic mode radiation from the termination of a truncated nonlinear internal gravity wave duct in a shallow ocean area (2010)
    Acoustical Society of America
    Details
    Publication Date: 2022-05-25
    Description: Author Posting. © Acoustical Society of America, 2009. This article is posted here by permission of Acoustical Society of America for personal use, not for redistribution. The definitive version was published in Journal of the Acoustical Society of America 126 (2009): 1752-1765, doi:10.1121/1.3203268.
    Description: Horizontal ducting of sound between short-wavelength nonlinear internal gravity waves in coastal environments has been reported in many theoretical and experimental studies. Important consequences arising at the open end of an internal wave duct (the termination) are examined in this paper with three-dimensional normal mode theory and parabolic approximation modeling. For an acoustic source located in such a duct and sufficiently far from the termination, some of the propagating sound may exit the duct by penetrating the waves at high grazing angles, but a fair amount of the sound energy is still trapped in the duct and propagates toward the termination. Analysis here shows that the across-duct sound energy distribution at the termination is unique for each acoustic vertical mode, and as a result the sound radiating from the termination of the duct forms horizontal beams that are different for each mode. In addition to narrowband analysis, a broadband simulation is made for water depths of order 80 m and propagation distances of 24 km. Situations occur with one or more modes absent in the radiated field and with mode multipath in the impulse response. These are both consistent with field observations.
    Description: This work was supported under ONR Grant No. N00014-05-1-0482 and the ONR postdoctoral fellowship award, Grant No. N00014-08-1-0204.
    Keywords: Acoustic field ; Acoustic intensity ; Approximation theory ; Parabolic equations ; Underwater acoustic propagation
    Repository Name: Woods Hole Open Access Server
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  • 2
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    Horizontal ducting of sound by curved nonlinear internal gravity waves in the continental shelf areas (2013)
    Acoustical Society of America
    Details
    Publication Date: 2022-05-25
    Description: Author Posting. © Acoustical Society of America, 2013. This article is posted here by permission of Acoustical Society of America for personal use, not for redistribution. The definitive version was published in Journal of the Acoustical Society of America 133 (2013): 37-49, doi:10.1121/1.4770240.
    Description: The acoustic ducting effect by curved nonlinear gravity waves in shallow water is studied through idealized models in this paper. The internal wave ducts are three-dimensional, bounded vertically by the sea surface and bottom, and horizontally by aligned wavefronts. Both normal mode and parabolic equation methods are taken to analyze the ducted sound field. Two types of horizontal acoustic modes can be found in the curved internal wave duct. One is a whispering-gallery type formed by the sound energy trapped along the outer and concave boundary of the duct, and the other is a fully bouncing type due to continual reflections from boundaries in the duct. The ducting condition depends on both internal-wave and acoustic-source parameters, and a parametric study is conducted to derive a general pattern. The parabolic equation method provides full-field modeling of the sound field, so it includes other acoustic effects caused by internal waves, such as mode coupling/scattering and horizontal Lloyd's mirror interference. Two examples are provided to present internal wave ducts with constant curvature and meandering wavefronts.
    Description: This work was sponsored by the Office of Naval Research under grants N00014-10-1-0040 and N00014-11- 1-0701.
    Keywords: Acoustic waves ; Parabolic equations ; Shallow water equations
    Repository Name: Woods Hole Open Access Server
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  • 3
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    A higher-order tangent linear parabolic-equation solution of three-dimensional sound propagation (2013)
    Acoustical Society of America
    Details
    Publication Date: 2022-05-25
    Description: Author Posting. © Acoustical Society of America, 2013. This article is posted here by permission of Acoustical Society of America for personal use, not for redistribution. The definitive version was published in Journal of the Acoustical Society of America 134 (2013): EL251-EL257, doi:10.1121/1.4813852.
    Description: A higher-order square-root operator splitting algorithm is employed to derive a tangent linear solution for the three-dimensional parabolic wave equation due to small variations of the sound speed in the medium. The solution shown in this paper unifies other solutions obtained from less accurate approximations. Examples of three-dimensional acoustic ducts are presented to demonstrate the accuracy of the solution. Future work on the applications of associated adjoint models for acoustic inversions is proposed and discussed.
    Description: This work was sponsored by the Office of Naval Research under Grant No. N00014-13-1- 0026.
    Keywords: Acoustic field ; Acoustic wave propagation ; Acoustic wave velocity ; Ducts ; Mathematical operators ; Parabolic equations ; Wave equations
    Repository Name: Woods Hole Open Access Server
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  • 4
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    Modeling acoustic propagation of airgun array pulses recorded on tagged sperm whales (Physeter macrocephalus) (2008)
    Acoustical Society of America
    Details
    Publication Date: 2022-05-25
    Description: Author Posting. © Acoustical Society of America, 2006. This article is posted here by permission of Acoustical Society of America for personal use, not for redistribution. The definitive version was published in Journal of the Acoustical Society of America 120 (2006): 4100-4114, doi:10.1121/1.2359705.
    Description: In 2002 and 2003, tagged sperm whales (Physeter macrocephalus) were experimentally exposed to airgun pulses in the Gulf of Mexico, with the tags providing acoustic recordings at measured ranges and depths. Ray trace and parabolic equation (PE) models provided information about sound propagation paths and accurately predicted time of arrival differences between multipath arrivals. With adequate environmental information, a broadband acoustic PE model predicted the relative levels of multipath arrivals recorded on the tagged whales. However, lack of array source signature data limited modeling of absolute received levels. Airguns produce energy primarily below 250 Hz, with spectrum levels about 20–40 dB lower at 1 kHz. Some arrivals recorded near the surface in 2002 had energy predominantly above 500 Hz; a surface duct in the 2002 sound speed profile helps explain this effect, and the beampattern of the source array also indicates an increased proportion of high-frequency sound at near-horizontal launch angles. These findings indicate that airguns sometimes expose animals to measurable sound energy above 250 Hz, and demonstrate the influences of source and environmental parameters on characteristics of received airgun pulses. The study also illustrates that on-axis source levels and simple geometric spreading inadequately describe airgun pulse propagation and the extent of exposure zones.
    Description: Funding for this work was provided by the Office of Naval Research, the U.S. Department of the Interior Minerals Management Service Cooperative Agreements Nos. 1435-01-02- CA-85186 and NA87RJ0445, and the Industry Research Funding Coalition. S.L.D.R. was supported by a National Science Foundation Graduate Research Fellowship.
    Keywords: Underwater sound ; Bioacoustics ; Acoustic intensity ; Acoustic waveguides ; Acoustic pulses ; Parabolic equations ; Time-of-arrival estimation ; Acoustic arrays
    Repository Name: Woods Hole Open Access Server
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  • 5
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    A higher-order split-step Fourier parabolic-equation sound propagation solution scheme (2012)
    Acoustical Society of America
    Details
    Publication Date: 2022-05-25
    Description: Author Posting. © Acoustical Society of America, 2012. This article is posted here by permission of Acoustical Society of America for personal use, not for redistribution. The definitive version was published in Journal of the Acoustical Society of America 132 (2012): EL61-EL67, doi:10.1121/1.4730328.
    Description: A three-dimensional Cartesian parabolic-equation model with a higher-order approximation to the square-root Helmholtz operator is presented for simulating underwater sound propagation in ocean waveguides. The higher-order approximation includes cross terms with the free-space square-root Helmholtz operator and the medium phase speed anomaly. It can be implemented with a split-step Fourier algorithm to solve for sound pressure in the model. Two idealized ocean waveguide examples are presented to demonstrate the performance of this numerical technique.
    Description: This work was sponsored by the Office of Naval Research under Grants No. N00014-10- 1-0040 and No.N00014-11-1-0701.
    Keywords: Acoustic waveguides ; Helmholtz equations ; Parabolic equations ; Underwater acoustic propagation
    Repository Name: Woods Hole Open Access Server
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  • 6
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    Horizontal coherence of low-frequency fixed-path sound in a continental shelf region with internal-wave activity (2012)
    Acoustical Society of America
    Details
    Publication Date: 2022-05-25
    Description: Author Posting. © Acoustical Society of America, 2012. This article is posted here by permission of Acoustical Society of America for personal use, not for redistribution. The definitive version was published in Journal of the Acoustical Society of America 131 (2012): 1782-1797, doi:10.1121/1.3666003.
    Description: Sound at 85 to 450 Hz propagating in approximately 80-m depth water from fixed sources to a joint horizontal/vertical line array (HLA/VLA) is analyzed. The data are from a continental shelf area east of Delaware Bay (USA) populated with tidally generated long- and short-wavelength internal waves. Sound paths are 19 km in the along-shore (along internal-wave crest) direction and 30 km in the cross-shore direction. Spatial statistics of HLA arrivals are computed as functions of beam steering angle and time. These include array gain, horizontally lagged spatial correlation function, and coherent beam power. These quantities vary widely in magnitude, and vary over a broad range of time scales. For example, correlation scale can change rapidly from forty to five wavelengths, and correlation-scale behavior is anisotropic. In addition, the vertical array can be used to predict correlation expected for adiabatic propagation with cylindrical symmetry, forming a benchmark. Observed variations are in concert with internal-wave activity. Temporal variations of three coherence measures, horizontal correlation length, array gain, and ratio of actual correlation length to predicted adiabatic-mode correlation length, are very strong, varying by almost a factor of ten as internal waves pass.
    Description: This work was supported by Office of Naval Research (ONR) Grants Nos. N00014-05-1-0482 and N00014-11-1- 0194 to T.F.D., ONR Grant No. N00014-04-1-0146 to J.F.L., and an ONR Ocean Acoustics Postdoctoral Fellowship awarded to J.M.C. under Professor William Carey at Boston University.
    Keywords: Acoustic arrays ; Acoustic correlation ; Statistics ; Underwater acoustic propagation
    Repository Name: Woods Hole Open Access Server
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  • 7
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    A three-dimensional parabolic equation model of sound propagation using higher-order operator splitting and Padé approximants (2012)
    Acoustical Society of America
    Details
    Publication Date: 2022-05-25
    Description: Author Posting. © Acoustical Society of America, 2012. This article is posted here by permission of Acoustical Society of America for personal use, not for redistribution. The definitive version was published in Journal of the Acoustical Society of America 132 (2012): EL364-EL370, doi:10.1121/1.4754421.
    Description: An alternating direction implicit (ADI) three-dimensional fluid parabolic equation solution method with enhanced accuracy is presented. The method uses a square-root Helmholtz operator splitting algorithm that retains cross-multiplied operator terms that have been previously neglected. With these higher-order cross terms, the valid angular range of the parabolic equation solution is improved. The method is tested for accuracy against an image solution in an idealized wedge problem. Computational efficiency improvements resulting from the ADI discretization are also discussed.
    Description: This work was sponsored by the Office of Naval Research under Grant Nos. N00014-10-1-0040 and N00014-11-1-0701.
    Keywords: Helmholtz equations ; Mathematical operators ; Parabolic equations ; Underwater acoustic propagation
    Repository Name: Woods Hole Open Access Server
    Type: Article
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