Publication detail

Representing arbitrary acoustic source and sensor distributions in Fourier collocation methods

WISE, E. COX, B. JAROŠ, J. TREEBY, B.

Original Title

Representing arbitrary acoustic source and sensor distributions in Fourier collocation methods

Type

journal article in Web of Science

Language

English

Original Abstract

Accurately representing acoustic source distributions is an important part of ultrasound simulation. This is challenging for grid-based collocation methods when such distributions do not coincide with the grid points, for instance when the source is a curved, two-dimensional surface embedded in a three-dimensional domain. Typically, grid points close to the source surface are defined as source points, but this can result in "staircasing" and substantial errors in the resulting acoustic fields. This paper describes a technique for accurately representing arbitrary source distributions within Fourier collocation methods. The method works by applying a discrete, band-limiting convolution operator to the continuous source distribution, after which source grid weights can be generated. This allows arbitrarily shaped sources, for example, focused bowls and circular pistons, to be defined on the grid without staircasing errors. The technique is examined through simulations of a range of ultrasound sources, and comparisons with analytical solutions show excellent accuracy and convergence rates. Extensions of the technique are also discussed, including application to initial value problems, distributed sensors, and moving sources.

Keywords

Fourier collocation method, acoustic source, acoustic sensor, staircaisng

Authors

WISE, E.; COX, B.; JAROŠ, J.; TREEBY, B.

Released

1. 7. 2019

ISBN

1520-8524

Periodical

Journal of the Acoustical Society of America

Year of study

146

Number

1

State

United States of America

Pages from

278

Pages to

288

Pages count

11

URL

https://asa.scitation.org/doi/10.1121/1.5116132

BibTex

@article{BUT158066,
  author="Elliott {Wise} and Ben {Cox} and Jiří {Jaroš} and Bradley {Treeby}",
  title="Representing arbitrary acoustic source and sensor distributions in Fourier collocation methods",
  journal="Journal of the Acoustical Society of America",
  year="2019",
  volume="146",
  number="1",
  pages="278--288",
  doi="10.1121/1.5116132",
  issn="1520-8524",
  url="https://asa.scitation.org/doi/10.1121/1.5116132"
}