Ray stability for range-dependent background sound speed profiles

T. Bódai*, A. J. Fenwick, M. Wiercigroch

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We list several applications of underwater acoustics and discuss underwater sound propagation in the framework of ray theory. The concept of ray chaos is introduced. It is shown that Poincaré sections and Lyapunov exponents provide equivalent descriptions of simple environmental models. We consider a class of environments not previously studied - those where there are transitions between single- and double duct sound speed versus depth profiles. To examine the behaviour of propagation in transition regions the concept of launching basins is introduced, and its use in the design of system performance is indicated.

Original languageEnglish
Title of host publicationIUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty
Subtitle of host publicationProceedings of the IUTAM Symposium
EditorsH Y Hu, E Kreuzer
PublisherSpringer
Pages137-146
Number of pages10
ISBN (Print)9781402063312
Publication statusPublished - 1 Dec 2007
EventIUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty - Nanjing, China
Duration: 18 Sep 200622 Sep 2006

Publication series

NameSolid Mechanics and its Applications
Volume2
ISSN (Print)1875-3507

Conference

ConferenceIUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty
CountryChina
CityNanjing
Period18/09/0622/09/06

Fingerprint

underwater acoustics
rays
Acoustic waves
Underwater acoustics
acoustics
launching
sound propagation
Launching
profiles
ducts
Chaos theory
lists
Ducts
chaos
exponents
propagation

Keywords

  • Launching basins
  • Ray chaos
  • Transitions
  • Underwater acoustics

ASJC Scopus subject areas

  • Aerospace Engineering
  • Automotive Engineering
  • Civil and Structural Engineering
  • Mechanical Engineering
  • Acoustics and Ultrasonics

Cite this

Bódai, T., Fenwick, A. J., & Wiercigroch, M. (2007). Ray stability for range-dependent background sound speed profiles. In H. Y. Hu, & E. Kreuzer (Eds.), IUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty: Proceedings of the IUTAM Symposium (pp. 137-146). (Solid Mechanics and its Applications; Vol. 2). Springer .

Ray stability for range-dependent background sound speed profiles. / Bódai, T.; Fenwick, A. J.; Wiercigroch, M.

IUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty: Proceedings of the IUTAM Symposium. ed. / H Y Hu; E Kreuzer. Springer , 2007. p. 137-146 (Solid Mechanics and its Applications; Vol. 2).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Bódai, T, Fenwick, AJ & Wiercigroch, M 2007, Ray stability for range-dependent background sound speed profiles. in HY Hu & E Kreuzer (eds), IUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty: Proceedings of the IUTAM Symposium. Solid Mechanics and its Applications, vol. 2, Springer , pp. 137-146, IUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty, Nanjing, China, 18/09/06.
Bódai T, Fenwick AJ, Wiercigroch M. Ray stability for range-dependent background sound speed profiles. In Hu HY, Kreuzer E, editors, IUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty: Proceedings of the IUTAM Symposium. Springer . 2007. p. 137-146. (Solid Mechanics and its Applications).
Bódai, T. ; Fenwick, A. J. ; Wiercigroch, M. / Ray stability for range-dependent background sound speed profiles. IUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty: Proceedings of the IUTAM Symposium. editor / H Y Hu ; E Kreuzer. Springer , 2007. pp. 137-146 (Solid Mechanics and its Applications).
@inproceedings{16124feb3a084c17bf8264277cd7c3f0,
title = "Ray stability for range-dependent background sound speed profiles",
abstract = "We list several applications of underwater acoustics and discuss underwater sound propagation in the framework of ray theory. The concept of ray chaos is introduced. It is shown that Poincar{\'e} sections and Lyapunov exponents provide equivalent descriptions of simple environmental models. We consider a class of environments not previously studied - those where there are transitions between single- and double duct sound speed versus depth profiles. To examine the behaviour of propagation in transition regions the concept of launching basins is introduced, and its use in the design of system performance is indicated.",
keywords = "Launching basins, Ray chaos, Transitions, Underwater acoustics",
author = "T. B{\'o}dai and Fenwick, {A. J.} and M. Wiercigroch",
year = "2007",
month = "12",
day = "1",
language = "English",
isbn = "9781402063312",
series = "Solid Mechanics and its Applications",
publisher = "Springer",
pages = "137--146",
editor = "Hu, {H Y} and E Kreuzer",
booktitle = "IUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty",

}

TY - GEN

T1 - Ray stability for range-dependent background sound speed profiles

AU - Bódai, T.

AU - Fenwick, A. J.

AU - Wiercigroch, M.

PY - 2007/12/1

Y1 - 2007/12/1

N2 - We list several applications of underwater acoustics and discuss underwater sound propagation in the framework of ray theory. The concept of ray chaos is introduced. It is shown that Poincaré sections and Lyapunov exponents provide equivalent descriptions of simple environmental models. We consider a class of environments not previously studied - those where there are transitions between single- and double duct sound speed versus depth profiles. To examine the behaviour of propagation in transition regions the concept of launching basins is introduced, and its use in the design of system performance is indicated.

AB - We list several applications of underwater acoustics and discuss underwater sound propagation in the framework of ray theory. The concept of ray chaos is introduced. It is shown that Poincaré sections and Lyapunov exponents provide equivalent descriptions of simple environmental models. We consider a class of environments not previously studied - those where there are transitions between single- and double duct sound speed versus depth profiles. To examine the behaviour of propagation in transition regions the concept of launching basins is introduced, and its use in the design of system performance is indicated.

KW - Launching basins

KW - Ray chaos

KW - Transitions

KW - Underwater acoustics

UR - http://www.scopus.com/inward/record.url?scp=84861119249&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84861119249

SN - 9781402063312

T3 - Solid Mechanics and its Applications

SP - 137

EP - 146

BT - IUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty

A2 - Hu, H Y

A2 - Kreuzer, E

PB - Springer

ER -