Rapid calculation of propagation path information by application of the method of images

Authors

  • G.J. Heard Defence Res. Establ. Pacific, FMO Victoria, BC, Canada

Keywords:

acoustic wave propagation, error analysis, oceanography, underwater sound, propagation path, method of images, underwater acoustics, acoustic path, propagation path lengths, time differences, uniformly sloping ocean, error, steep-angle propagation

Abstract

Many problems in underwater acoustics require rapid computation of acoustic path information. Inversions that employ simulated annealing and Monte Carlo minimization techniques may require the computation of millions of acoustic paths for application to a problem. This paper describes the application of the method of images for rapidly computing propagation path lengths, time differences, and other path details between an acoustic source and a receiving hydrophone in a uniformly sloping ocean environment. The problem is kept simple by considering only a constant sound-speed profile. This assumption limits the applicability of the method. To test the accuracy of the method, expressions for the error are developed for a particular environment that represents a severe case. The constant-sound-speed calculations are shown to result in sufficient accuracy that they may be applied to short-range, steep-angle propagation problems

Additional Files

Published

1993-12-01

How to Cite

1.
Heard G. Rapid calculation of propagation path information by application of the method of images. Canadian Acoustics [Internet]. 1993 Dec. 1 [cited 2025 Feb. 15];21(4):3-8. Available from: https://jcaa.caa-aca.ca/index.php/jcaa/article/view/817

Issue

Vol. 21 No. 4 (1993)

Section

Technical Articles

License

Author Licensing Addendum

This Licensing Addendum ("Addendum") is entered into between the undersigned Author(s) and Canadian Acoustics journal published by the Canadian Acoustical Association (hereinafter referred to as the "Publisher"). The Author(s) and the Publisher agree as follows:

  1. Retained Rights: The Author(s) retain(s) the following rights:

    • The right to reproduce, distribute, and publicly display the Work on the Author's personal website or the website of the Author's institution.
    • The right to use the Work in the Author's teaching activities and presentations.
    • The right to include the Work in a compilation for the Author's personal use, not for sale.

  2. Grant of License: The Author(s) grant(s) to the Publisher a worldwide exclusive license to publish, reproduce, distribute, and display the Work in Canadian Acoustics and any other formats and media deemed appropriate by the Publisher.

  3. Attribution: The Publisher agrees to include proper attribution to the Author(s) in all publications and reproductions of the Work.

  4. No Conflict: This Addendum is intended to be in harmony with, and not in conflict with, the terms and conditions of the original agreement entered into between the Author(s) and the Publisher.

  5. Copyright Clause: Copyright on articles is held by the Author(s). The corresponding Author has the right to grant on behalf of all Authors and does grant on behalf of all Authors, a worldwide exclusive license to the Publisher and its licensees in perpetuity, in all forms, formats, and media (whether known now or created in the future), including but not limited to the rights to publish, reproduce, distribute, display, store, translate, create adaptations, reprints, include within collections, and create summaries, extracts, and/or abstracts of the Contribution.

Most read articles by the same author(s)