Phase-space approach to wave propagation with dispersion and damping

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 5559, Issue , 2004, Pages 221-231

  Loughlin, Patrick ^a   Cohen, Leon ^b  

^a UNIVERSITY OF PITTSBURGH   (United States)

^b CITY UNIVERSITY OF NEW YORK   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; DAMPING; DIFFERENTIAL EQUATIONS; DISPERSION (WAVES); INTEGRATION; MATHEMATICAL MODELS;

CONSTANT-COEFFICIENT WAVE EQUATIONS; LINEAR PARTIAL DIFFERENTIAL EQUATIONS; WIGNER DISTRIBUTION;

WAVE PROPAGATION;

EID: 15844377055     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.564249     Document Type: Conference Paper

References (13)

1. L. Cohen, Time-Frequency Analysis, Prentice-Hall, 1995.
2. L. Cohen, Time-frequency spatial-spatial frequency representations, in: Nonlinear Signal Analysis and Image Analysis, Annals of the New York Academy of Sciences, J.R. Buchler and H. Kundrup (eds), 97-115, 1997.
3. L. Cohen, "Wigner distribution and pulse propagation," Proc. SPIE, vol. 4474, p. 20-24, 2001.
4. L. Cohen, "Generalization of group velocity and group acceleration," Proc. SPIE, vol. 4726, pp. 1-14, 2002.
5. L. Cohen, "Why do wave packets sometimes contract?," J. Mod. Optics, vol. 49, pp. 2365-2382, 2003.
6. L. Cohen and P. Loughlin, "Stationary phase approximation: A modification," Proc. SPIE, Orlando, FLA, April 2004.
7. J. D. Jackson, Classical Electrodynamics, Wiley, 1992.
8. P. Loughlin and L. Cohen, "Local properties of dispersive pulses," J. Mod. Optics, vol. 49, no. 14/15, pp. 2645-2655, 2002.
9. P. Loughlin and L. Cohen, "A joint distribution approach to wave propagation and array processing," Proc. IEEE Sensor and Array Multichannel Signal Processing (SAM) workshop, Barcelona, Spain, July 2004
10. P. Loughlin and L. Cohen, "Moment features invariant to dispersion," Proc. SPIE, Orlando, FLA, April 2004.
11. P. H. Morse and K. U. Ingard, Theoretical Acoustics, McGraw-Hill 1968.
12. I. Tolstoy and C. Clay, Ocean Acoustics: Theory and Experiment in Underwater Sound, AIP, NY 1987.
13. G. Whitham, Linear and Nonlinear Waves, J. Wiley and Sons, New York, 1974.