Nonlinear propagation and distortion of two plane waves interacting at arbitrary angles

Acta Acustica united with Acustica

Volumn 82, Issue 2, 1996, Pages 213-219

  Foda, M A ^a  

^a KING SAUD UNIVERSITY   (Saudi Arabia)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC WAVE PROPAGATION; APPROXIMATION THEORY; DISTORTION (WAVES); FREQUENCIES; NONLINEAR EQUATIONS; PERTURBATION TECHNIQUES; VECTORS;

ACOUSTIC PRESSURE; ARBITRARY ANGLES; NONLINEAR WAVE EQUATION; PLANE WAVE INTERACTION; PLANE WAVE NONLINEAR PROPAGATION;

ACOUSTIC WAVES;

EID: 0030100973     PISSN: 14367947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (24)

1. Fenlon, F. H., An extension of the Bessel-Fubini series for a multiple-frequency cw acoustic source of finite amplitude. J. Acoust. Soc. Amer. 51 [1972], 284-289.
2. Westervelt, P. J., Scattering of sound by sound. J. Acoust. Soc. Amer. 29 [1957], 199-203.
3. Westervelt, P. J., Scattering of sound by sound. J. Acoust. Soc. Amer. 29 [1957], 934-935.
4. Lighthill, M. J., On sound generated aerodynamically: I. general theory. Proc. Roy. Soc. London Ser. A [1952], 564-587.
5. Westervelt, P. J., Absorption of sound by sound. J. Acoust. Soc. Amer. 59 [1976], 760-764.
6. Bellin, J. L. S., Beyer, R. T., Scattering of sound by sound. J. Acoust. Soc. Amer. 32 [1960], 339-341.
7. Al-Temimi, C. A., Interaction between two sound fields propagating in different directions. J. Sound. Vib. 8 [1968], 44-63.
8. Jones, J. P., Beyer, R. T., Scattering of sound by sound. J. Acoust. Soc. Amer. 49 [1970], 398-402.
9. Zverev, V. A., Kalachev, A. I., Modulation of sound by sound in the interaction of sound waves. Sov. Phys. Acoust. 16 [1970], 204-208.
10. Novikov, B. K., Soluyan, S. I., Timoshenko, V. I., Nonlinear underwater acoustics. Acoustical Society of America, New York 1987, Ch. 7.
11. Hamilton, M. F., Blackstock, D. T., On the coefficient of nonlinearity β in nonlinear acoustics. J. Acoust. Soc. Amer. 83 [1988], 74-77.
12. TenCate, J. A., Nonlinear interaction of two non-collinear sound waves in a rectangular wave guide. Technical report ARTL-TR-84-16 [1984], Applied Research Laboratories, The University of Texas at Austin.
13. Beyer, R. T., Parameter of nonlinearity in fluid. J. Acoust. Soc. Amer. 32 [1960], 719-721.
14. Tjotta, J. N., Tjotta, S., Vefring, E. H., Propagation and interaction of two collinear finite amplitude sound beams. J. Acoust. Soc. Amer. 88 [1980], 2859-2870.
15. Sakov, P. V., Nonlinear interaction of non-concentric spherical waves. Sov. Phys. Acoust. 38 [1992], 180-183.
16. Goldstein, S., Lectures in fluid mechanics. Wiley-Interscience, New York 1960, Ch. 4.
17. Foda, M. A., Ginsberg, J. H., Relationship between near and far field effects in second harmonic generation in the piston beam. J. Acoust. Soc. Amer. 79 [1986], S31-32.
18. Tjotta, J. N., Tjotta, S., Interaction of sound waves. Part 1: Basic equations and plane waves. J. Acoust. Soc. Amer. 82 [1987], 1425-1435.
19. Ginsberg, J. H., Maio, H. C., Finite amplitude distortion and dispersion for a non-planar mode in a wave guide. J. Acoust. Soc. Amer. 80 [1986], 911-920.
20. Truchard, J. J., Parametric receiving array and scattering of sound by sound. J. Acoust. Soc. Amer. 64 [1978], 280-285.
21. Nayfeh, A. H., Introduction to perturbation techniques. Wiley-Interscience, New York 1981.
22. Lamb, H., Hydrodynamics, Sixth edition, Dover 1945 reissue, 483-484.
23. Blackstock, D. T., Propagation of plane sound waves of finite amplitude in nondissipative fluids. J. Acoust. Soc. Amer. 34 [1962], 9-30.
24. Berktay, H. O., Shooter, J. A., Nearfield effects in end-fire line arrays. J. Sound. Vib. 53 [1973], 550-556.