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Submitted URL: https://pubs.aip.org/asa/jasa/article/125/1/52/1058875/Three-dimensional-propagation-and-scattering
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Submission: On March 19 via api from US — Scanned from DE
Effective URL: https://pubs.aip.org/asa/jasa/article-abstract/125/1/52/1058875/Three-dimensional-propagation-and-scattering?redirect...
Submission: On March 19 via api from US — Scanned from DE
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Skip to Main Content Close * Publishers * AIP Publishing * Physics Today * Acoustical Society of America * American Association of Physics Teachers * American Crystallographic Association, Inc. * AVS: Science and Technology of Materials, Interfaces and Processing * Chinese Physical Society * Hefei General Machinery Research Institute * Laser Institute of America * The Society of Rheology * Tianjin University * Publications * Journals * Physics Today * Conference Proceedings * Books * Special Topics * Authors * Librarians * About Search Dropdown Menu header search search input Search input auto suggest filter your search All ContentAcoustical Society of AmericaThe Journal of the Acoustical Society of America Search Advanced Search |Citation Search User Tools Dropdown Sign In Toggle MenuMenu * Home * Browse * Collections * Featured * Forum and Reflections Articles * Review Articles * Tutorials * Special Issues * Express Letters Archive 2006-2020 * Scilights * Press Releases * Publish With Us * Submit Your Manuscript * Preparing Your Manuscript * Publication Charges * Author Resources * AIP Author Services * About * Overview * Contact * Editorial Board * Journal Development Team * Call for Papers Skip Nav Destination Close navigation menu Article navigation Volume 125, Issue 1 January 2009 * Previous Article * Next Article Article Navigation January 01 2009 THREE-DIMENSIONAL PROPAGATION AND SCATTERING AROUND A CONICAL SEAMOUNT Wenyu Luo; Wenyu Luo Department of Mechanical Engineering, Massachusetts Institute of Technology , Massachusetts 02139 Search for other works by this author on: This Site PubMed Google Scholar Henrik Schmidt Henrik Schmidt Department of Mechanical Engineering, Massachusetts Institute of Technology , Massachusetts 02139 Search for other works by this author on: This Site PubMed Google Scholar J. Acoust. Soc. Am. 125, 52–65 (2009) https://doi.org/10.1121/1.3025903 Article history Received: December 02 2007 Accepted: December 21 2008 * * Views Icon Views * Article contents * Share Icon Share * Twitter * Facebook * Reddit * LinkedIn * Tools Icon Tools * Reprints and Permissions * Cite Icon Cite * Search Site Citation Wenyu Luo, Henrik Schmidt; Three-dimensional propagation and scattering around a conical seamount. J. Acoust. Soc. Am. 1 January 2009; 125 (1): 52–65. https://doi.org/10.1121/1.3025903 Download citation file: * Ris (Zotero) * Reference Manager * EasyBib * Bookends * Mendeley * Papers * EndNote * RefWorks * BibTex toolbar search Search Dropdown Menu toolbar search search input Search input auto suggest filter your search All ContentAcoustical Society of AmericaThe Journal of the Acoustical Society of America Search Advanced Search |Citation Search A three-dimensional (3D) propagation and scattering model is developed for an offset acoustic source in an ocean with axisymmetric bathymetry. Based on the same theoretical foundation as the formulation presented by Taroudakis [M. I. Taroudakis, “ A coupled-mode formulation for the solution in the presence of a conical sea-mount ,” J. Comput. Acoust. 4, 101– 121 (1996)], the present approach combines a spectral decomposition in azimuth with a coupled-mode theory for two-way, range-dependent propagation. However, the earlier formulations were severely limited in terms of frequency, size, and geometry of the seamount, the seabed composition, and the distance between the source and the seamount, and were therefore severely limited in regard to realistic seamount problems. Without changing the fundamental theoretical foundation, the present approach applies a number of modifications to the numerical formulation, leading to orders of magnitude in numerical efficiency for realistic problems. Further, by using a standard normal mode model for determining the fundamental modal solutions and coupling matrices, and by applying a simple superposition principle, the computational requirements are made independent of the distance between the seamount and the source and receivers, and dependent only on the geometry of the seamount and the source frequency. Therefore, realistic propagation and scattering scenarios can be modeled, including effects of seamount roughness and realistic sedimentary structure. Topics Acoustical properties, Speed of sound, Electrodynamics, Thermodynamic states and processes, Geophysical techniques, Integral calculus, Partial differential equations, Perturbation theory, Superposition principle, Algebraic geometry REFERENCES 1. M. D. Collins , and B. E. McDonald , “ Three-dimensional effects in global acoustics ,” J. Acoust. Soc. Am. https://doi.org/10.1121/1.413050 97 , 1567 – 1575 ( 1995 ). Google Scholar Crossref Search ADS 2. C. H. Harrison , “ Three-dimensional ray paths in basins, troughs, and near seamounts by use of ray invariants ,” J. Acoust. Soc. Am. https://doi.org/10.1121/1.381670 62 , 1382 – 1388 ( 1977 ). Google Scholar Crossref Search ADS 3. J. S. Perkins and R. N. Baer , “ An approximation to the three-dimensional parabolic-equation method for acoustic propagation ,” J. Acoust. Soc. Am. https://doi.org/10.1121/1.388032 72 , 515 – 522 ( 1982 ). Google Scholar Crossref Search ADS 4. G. Botseas , D. Lee , and D. King , “ FOR3D: A computer model for solving the LSS three-dimensional, wide angle wave equation ,” Naval Underwater Systems Center, New London, CT, Tech. Report No. 7943, 1987 . Google Scholar 5. G. A. Athanassoulis and A. M. Propathopoulos , “ Three-dimensional acoustic scattering of a source-generated field from a cylindrical island ,” J. Acoust. Soc. Am. https://doi.org/10.1121/1.415922 100 , 206 – 218 ( 1996 ). Google Scholar Crossref Search ADS 6. M. I. Taroudakis , “ A coupled-mode formulation for the solution in the presence of a conical sea-mount ,” J. Comput. Acoust. https://doi.org/10.1142/S0218396X96000246 4 , 101 – 121 ( 1996 ). Google Scholar Crossref Search ADS 7. E. G. Williams , Fourier Acoustics ( Academic , London , 1999 ). Google Scholar 8. F. B. Jensen , W. A. Kuperman , M. B. Porter , and H. Schmidt , Computational Ocean Acoustics ( American Institute of Physics , New York , 1994 ). Google Scholar 9. J. Eskenazi , “ A computer model for sound propagation around conical seamounts ,” MS thesis, Massachusetts Institute of Technology , Cambridge, MA ( 2001 ). Google Scholar 10. D. C. Ricks , “ Elastodynamic modeling of fluid-loaded cylindrical shells with multiple layers and internal attachments ,” Ph.D. thesis, Massachusetts Institute of Technology , Cambridge, MA ( 1994 ). Google Scholar 11. C. Ferla , M. porter , and F. Jensen , “ C-SNAP: Coupled SACLANTCEN normal mode propagation model ,” Report No. SM 274, SACLANT Undersea Research Centre, La Spezia, Italy, 1993 . Google Scholar 12. W. Luo , “ Three-dimensional propagation and scattering around a conical seamount ,” Ph.D. thesis, Massachusetts Institute of Technology , Cambridge, MA ( 2007 ). Google Scholar 13. G. A. Athanassoulis and K. A. Belibassakis , “ All-frequency normal-mode solution of the three-dimensional acoustic scattering from a vertical cylinder in a plane-horizontal waveguide ,” J. Acoust. Soc. Am. https://doi.org/10.1121/1.418295 101 , 3371 – 3384 ( 1997 ). Google Scholar Crossref Search ADS 14. D. C. Ricks and H. Schmidt , “ A numerically stable global matrix method for cylinderlly layered shells excited by ring forces ,” J. Acoust. Soc. Am. https://doi.org/10.1121/1.409953 95 , 3339 – 3349 ( 1994 ). Google Scholar Crossref Search ADS 15. M. Abramowitz and I. A. Stegun , Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables , Applied Mathematic Series No. 55 ( National Bureau of Standards , Washington, DC , 1972 ). Google Scholar 16. M. B. Porter , F. B. Jensen , and C. M. Feria , “ The problem of energy conservation in one-way models ,” J. Acoust. Soc. Am. https://doi.org/10.1121/1.400525 89 , 1058 – 1067 ( 1991 ). Google Scholar Crossref Search ADS 17. B. E. McDonald , M. D. Collins , W. A. Kuperman , and K. D. Heaney , “ Comparison of data and model predictions for Heard Island acoustic transmissions ,” J. Acoust. Soc. Am. https://doi.org/10.1121/1.410108 96 , 2357 – 2370 ( 1994 ). Google Scholar Crossref Search ADS 18. D. Lee and G. Botseas , “ Examination of three-dimensional effects using a propagation model with azimuth-coupling capability (FOR3D) ,” J. Acoust. Soc. Am. https://doi.org/10.1121/1.402856 91 , 3192 – 3202 ( 1992 ). Google Scholar Crossref Search ADS 19. D. C. Stickler , “ Normal-mode program with both the discrete and branch line contributions ,” J. Acoust. Soc. Am. https://doi.org/10.1121/1.380525 57 , 856 – 861 ( 1970 ). Google Scholar Crossref Search ADS 20. R. B. Evans , “ A coupled mode solution for acoustic propagation in a waveguide with stepwise depth variations of a penetrable bottom ,” J. Acoust. Soc. Am. https://doi.org/10.1121/1.389707 74 , 188 – 195 ( 1983 ). 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