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Sound-wave coherence in atmospheric turbulence with intrinsic and global intermittency a
a
Portions of this work were presented in V. E. Ostashev, D. K. Wilson, and G. H. Goedecke “Intermittent scalar QW model and sound propagation through intermittent turbulence,” in Proceedings of the 12th Long Range Sound Propagation Symposium, New Orleans, LA, 2006, pp. 429–442.
J. Acoust. Soc. Am. Volume 124, Issue 2, pp. 743-757 (2008); (15 pages)
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Add to FacebookThe coherence function of sound waves propagating through an intermittently turbulent atmosphere is calculated theoretically. Intermittency mechanisms due to both the turbulent energy cascade (intrinsic intermittency) and spatially uneven production (global intermittency) are modeled using ensembles of quasiwavelets (QWs), which are analogous to turbulent eddies. The intrinsic intermittency is associated with decreasing spatial density (packing fraction) of the QWs with decreasing size. Global intermittency is introduced by allowing the local strength of the turbulence, as manifested by the amplitudes of the QWs, to vary in space according to superimposed Markov processes. The resulting turbulence spectrum is then used to evaluate the coherence function of a plane sound wave undergoing line-of-sight propagation. Predictions are made by a general simulation method and by an analytical derivation valid in the limit of Gaussian fluctuations in signal phase. It is shown that the average coherence function increases as a result of both intrinsic and global intermittency. When global intermittency is very strong, signal phase fluctuations become highly non-Gaussian and the average coherence is dominated by episodes with weak turbulence.
© 2008 Acoustical Society of America
ACKNOWLEDGMENTS
This work was supported by U.S. Army In-House Laboratory Research Initiative (ILIR) and by U.S. Army Research Office Grant No. W911NF-06-1-0007. We thank J. C. Wyngaard and J. G. Brasseur (Pennsylvania State University) for many insightful discussions. We dedicate this manuscript to the memory of Dr. Steven Clifford and his many outstanding contributions to wave propagation in random media.
Article Outline
- INTRODUCTION
- QW MODEL FOR INTERMITTENT SCALAR FLUCTUATIONS
- Basic formulas
- Intrinsic intermittency
- Scaling relationships and cascades
- Spectra and correlations
- Variance and kurtosis
- Global intermittency
- COHERENCE FUNCTION
- Local propagation paths
- Global propagation paths
- Simulation results
- CONCLUSION
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History
Received 28 Jan 2008
Accepted 21 May 2008
Revised 21 May 2008
Accepted 21 May 2008
Revised 21 May 2008
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