Modal Doppler theory of an arbitrarily accelerating continuous-wave source applied to mode extraction in the oceanic waveguide

Walker, S. C.; Roux, Philippe; Kuperman, W. A.

doi:doi:10.1121/1.2756756

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Journal of the Acoustical Society of America / Volume 122 / Issue 3 / UNDERWATER SOUND [30]

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Modal Doppler theory of an arbitrarily accelerating continuous-wave source applied to mode extraction in the oceanic waveguide

J. Acoust. Soc. Am. Volume 122, Issue 3, pp. 1426-1439 (2007); (14 pages)

S. C. Walker¹, Philippe Roux², and W. A. Kuperman¹

¹Marine Physical Laboratory, University of California, San Diego, Scripps Institution of Oceanography, La Jolla, California 92038
²LGIT-Maison des Gosciences, 1381 rue de la Piscine, BP 53-38041 Grenoble Cedex 9, France

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Abstract

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A Doppler-based method for using a moving narrow-band source to extract the modes of acoustic propagation in a range-independent shallow ocean waveguide over a partial-water-column spanning vertical line array (VLA) is introduced. Because the modal components propagate at distinct frequencies in the case of uniform radial source motion, the modal depth functions may be isolated and extracted from a frequency decomposition of the field. Because Doppler broadening due to radial source accelerations degrades the effectiveness of the extraction method, the method incorporates a technique to compensate for Doppler broadening. As the basis for the compensation technique, a theory is introduced for describing the VLA field from an accelerating cw source. By connecting the range of the source at the time a signal feature is emitted (the retarded time) to the range of the source at the time the signal feature arrives at the receiver (the contemporary time), the theory incorporates the Doppler effects associated with the finite group velocities of the modal components. The mode extraction method and compensation technique are applied to simulation and ocean data.

Article Outline

INTRODUCTION
THE VLA FIELD FROM A DISTANT MOVING cw POINT SOURCE
MODE EXTRACTION FROM A SOURCE IN UNIFORM RADIAL MOTION
MODE EXTRACTION FROM A RADIALLY ACCELERATING cw SOURCE
1. Modal Doppler effects from a radially accelerating source
2. Detecting and compensating for time-varying Doppler effects
3. Phase compensation and mode extraction from a simulated radially accelerating source
EXPERIMENTAL MODE EXTRACTION FROM A RADIALLY ACCELERATING SOURCE
SUMMARY AND DISCUSSION

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KEYWORDS and PACS

Keywords

underwater acoustic propagation, Doppler broadening

PACS

43.30.Bp

Normal mode propagation of sound in water
43.60.Gk

Space-time signal processing, other than matched field processing
43.30.Es

Velocity, attenuation, refraction, and diffraction in water, Doppler effect

ARTICLE DATA

History

Received 26 Aug 2005
Accepted 14 Jun 2007
Revised 31 May 2007

Digital Object Identifier

http://dx.doi.org/10.1121/1.2756756

PUBLICATION DATA

ISSN

0001-4966 (print)

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$abstract.society.value is a Member of CrossRef

Acoustical Society of America

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