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Journal of the Acoustical Society of America / Volume 131 / Issue 1 / BIOACOUSTICS [80]

Some basic relations for ultrasonic fields from circular transducers with a central hole

J. Acoust. Soc. Am. Volume 131, Issue 1, pp. 620-627 (2012); (8 pages)

K. Beissner

Physikalisch-Technische Bundesanstalt (PTB), Bundesallee 100, 38116 Braunschweig, Germany

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Ultrasonic transducers with a central hole are increasingly in use in high-intensity therapeutic ultrasound and similar medical applications. The hole is intended for the addition of a diagnostic device. Some fundamental properties of the fields produced by such transducers are investigated here theoretically, based on a Rayleigh integral algorithm. The approach is restricted to those cases where the Rayleigh integral can be fully solved to yield closed-formula results that can be easily used by the reader. This means a concentration on points on the field axis which, on the other hand, is most important under the aspect of the safety of the patient (maximum amplitudes). Closed-form expressions describing the influence of the central hole on the acoustic pressure, on the particle velocity and on the time-averaged intensity are presented. The relation between the true intensity and the intensity expression derived from the square of the acoustic pressure is discussed in some detail, an aspect which is important in ultrasonic measurement practice where the local intensity value is mostly assessed based on the square of a hydrophone signal.

© 2012 Acoustical Society of America

Article Outline

  1. INTRODUCTION
  2. PLANE-PISTON SOURCE
  3. ON-AXIS INTENSITY EXPRESSIONS; UNFOCUSED CASE
  4. FOCUSING, SPHERICALLY CURVED TRANSDUCER
  5. ON-AXIS INTENSITY EXPRESSIONS; FOCUSED CASE
  6. CONCLUDING REMARKS

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KEYWORDS and PACS

Keywords

acoustic field, biomedical ultrasonics, integral equations, ultrasonic measurement, ultrasonic transducers

PACS

  • 43.80.Vj

    Acoustical medical instrumentation and measurement techniques

  • 43.80.Sh

    Medical use of ultrasonics for tissue modification (permanent and temporary)

  • 43.20.Bi

    Mathematical theory of wave propagation

  • 43.20.Rz

    Steady-state radiation from sources, impedance, radiation patterns, boundary element methods

ARTICLE DATA

History
Received 20 Jul 2011
Accepted 24 Oct 2011
Revised 20 Oct 2011
Digital Object Identifier
http://dx.doi.org/10.1121/1.3664001

PUBLICATION DATA

ISSN

0001-4966 (print)  

Publisher

$abstract.society.value is a Member of CrossRef Acoustical Society of America

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