NON-LINER DYNAMICS OF UNDERWATER ACOUSTICS

✍ Scribed by M. Wiercigroch; M. Badiey; J. Simmen; A.H.-D. Cheng

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 219 KB
• Volume: 220
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1998.1999

✦ Synopsis

The non-linear dynamic behavior of acoustic wave propagation in an underwater sound channel, described by the Munk's classical sound speed profile perturbed by a single-mode internal wave, is studied using a parabolic ray theory. The amplitude and wavelength of this single-mode wave are used as the branching parameters in bifurcation analysis. The phase plane trajectory of the ray-based system can be periodic, quasi-periodic, and unstable. The regions of instability, located numerically via the bifurcation diagrams, are examined through a sequence of phase diagrams and Poincare´maps. Charts showing the maximum uninterrupted propagation distance reveal instances of anomalous vertical scattering of sound energy. Floquet multipliers were used to investigate instability of periodic orbits.