A time-space decomposition method for fast calculations of transient pressure fields generated by ultrasound phased arrays

Authors

  • James F. Kelly Dept. of Electrical and Computer Engineering, Michigan State University, East Lansing, MI 48824, United States
  • Robert J. McGough Dept. of Electrical and Computer Engineering, Michigan State University, East Lansing, MI 48824, United States

Keywords:

Acoustic arrays, Computation theory, Computer simulation, Pistons, Pressure effects, Time domain analysis, Wave equations, Circular pistons, Time-space decomposition, Transient pressure fields, Ultrasound phased arrays

Abstract

A rapid single integral approach has been developed for computing the time domain pressure generated by a baffled circular piston. A time domain solution to the lossless wave equation can be derived subject to an input pulse, which models the uniform normal velocity of the piston. A linear array of 129 circular elements is simulated with pistons of radius (0.30mm) and interelement spacing (0.90mm). It is concluded that an exact time-domain solution forms the basis for array simulations, which is accelerated by decomposing the spatial dependence of the integrand.

Additional Files

Published

2005-09-01

How to Cite

1.
Kelly JF, McGough RJ. A time-space decomposition method for fast calculations of transient pressure fields generated by ultrasound phased arrays. Canadian Acoustics [Internet]. 2005 Sep. 1 [cited 2026 May 6];33(3):106-7. Available from: https://jcaa.caa-aca.ca/index.php/jcaa/article/view/1767

Issue

Vol. 33 No. 3 (2005)

Section

Proceedings of the Acoustics Week in Canada

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.