On using polynomial chaos for modeling uncertainty in acoustic propagation

Journal of the Acoustical Society of America

Volumn 119, Issue 4, 2006, Pages 1979-1994

  Creamer, Dennis B ^a  

^a NAVAL RESEARCH LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CHAOS THEORY; COMPUTATION THEORY; CORRELATION METHODS; MATHEMATICAL MODELS; POLYNOMIALS; RANDOM PROCESSES; UNCERTAIN SYSTEMS;

COMPUTATIONAL BURDEN; ENVIRONMENTAL VARIABILITY; POLYNOMIAL CHAOS; SPECTRAL REPRESENTATION;

ACOUSTIC WAVE PROPAGATION;

ACCELERATION; ACCURACY; ACOUSTICS; AMPLITUDE MODULATION; ARTICLE; CHAOTIC DYNAMICS; EVALUATION; PRIORITY JOURNAL; PROCESS MODEL; RANDOMIZATION; SOUND DETECTION; SOUND INTENSITY; SOUND LEVEL METER; SOUND TRANSMISSION; STOCHASTIC MODEL;

EID: 33645347054     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.2173523     Document Type: Article

References (11)

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2. D. B. Creamer and S. M. Flatté, unpublished (1984).
3. N. G. Van Kampen, Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam, 1981).
4. L. B. Dozier and F. D. Tappert, "Statistics of normal-mode amplitudes in a random ocean. II. Computations," J. Acoust. Soc. Am. 64, 533-547 (1978).
5. D. B. Creamer, "Theoretical analysis of scintillating lossy waveguides," in Shallow Water Acoustics, Proceedings of SWAC'97, edited by R. Zhang (1997), pp. 241-246.
6. S. Finette, "Embedding uncertainty into ocean acoustic propagation models," J. Acoust. Soc. Am. 117, 997-1000 (2005).
7. W. Schoutens, Stochastic Processes and Orthogonal Polynomials, Lecture Notes in Statistics 146 (Springer, New York, 2000).
8. J. L. Codona, D. B. Creamer, S. M. Flatté, R. G. Frehlich, and F. S. Henyey, "Moment-equation and path-integral techniques for wave propagation in random media," J. Math. Phys. 27, 171-177 (1986).
9. R. Ghanem and P. Spanos, Stochastic Finite Elements: A Spectral Approach (Springer, Berlin, 1991).
10. S. Finette, "Uncertainty propagation in ocean acoustic waveguides," J. Acoust. Soc. Am. 117, 2461 (2005).
11. S. Finette, "A dynamical formulation for environmental uncertainty for acoustic propagation in ocean waveguides," J. Acoust. Soc. Am. (submitted).