Ray chaos in underwater acoustics

K. B. Smith, Michael G Brown, F. D. Tappert

Research output: Contribution to journalArticle

85 Citations (Scopus)

Abstract

Generically, in range-dependent environments, the acoustic wave equation cannot be solved by techniques which require that variables be separated. Under such conditions, the acoustic ray equations, which have Hamiltonian form, are nonintegrable. At least some ray trajectories are expected to exhibit chaotic motion, i.e., extreme sensitivity to initial and environmental conditions. These ideas are illustrated numerically using simple models of the ocean sound channel with weak periodic range dependence. The use of Poincare sections, power spectra, and Lyapunov exponents to investigate and characterize ray chaos are discussed. The practical importance of chaotic ray trajectories-a limitation on one's ability to make deterministic predictions using ray theory-is emphasized.

Original languageEnglish (US)
Pages (from-to)1939-1949
Number of pages11
JournalJournal of the Acoustical Society of America
Volume91
Issue number4 I
StatePublished - 1992

Fingerprint

underwater acoustics
chaos
rays
trajectories
geometrical acoustics
acoustics
wave equations
power spectra
oceans
exponents
Ray
Underwater
Acoustics
Chaos
sensitivity
predictions

ASJC Scopus subject areas

  • Acoustics and Ultrasonics

Cite this

Smith, K. B., Brown, M. G., & Tappert, F. D. (1992). Ray chaos in underwater acoustics. Journal of the Acoustical Society of America, 91(4 I), 1939-1949.

Ray chaos in underwater acoustics. / Smith, K. B.; Brown, Michael G; Tappert, F. D.

In: Journal of the Acoustical Society of America, Vol. 91, No. 4 I, 1992, p. 1939-1949.

Research output: Contribution to journalArticle

Smith, KB, Brown, MG & Tappert, FD 1992, 'Ray chaos in underwater acoustics', Journal of the Acoustical Society of America, vol. 91, no. 4 I, pp. 1939-1949.
Smith, K. B. ; Brown, Michael G ; Tappert, F. D. / Ray chaos in underwater acoustics. In: Journal of the Acoustical Society of America. 1992 ; Vol. 91, No. 4 I. pp. 1939-1949.
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