On the sound field of a circular membrane in free space and an infinite baffle

Journal of the Acoustical Society of America

Volumn 120, Issue 5, 2006, Pages 2460-2477

  Mellow, Tim ^a   Kärkkäinen, Leo ^b  

^a Nokia UK Limited   (United Kingdom)

^b NOKIA RESEARCH CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BESSEL FUNCTIONS; ELECTRIC IMPEDANCE; FINITE ELEMENT METHOD; GREEN'S FUNCTION; INTEGRAL EQUATIONS; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS; RADIATION EFFECTS;

CIRCULAR MEMBRANES; RADIATION IMPEDANCE;

ACOUSTIC FIELDS;

ACOUSTIC IMPEDANCE; ANALYTICAL PARAMETERS; ARTICLE; CORRELATION ANALYSIS; FORCE TRANSDUCER; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; MEMBRANE CONDUCTANCE; MOTION; PRESSURE MEASUREMENT; PRIORITY JOURNAL; RADIATION; SOUND TRANSMISSION;

EID: 33750312163     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.2354041     Document Type: Article

References (21)

1. J. Borwick, Loudspeaker and Headphone Handbook, 3rd ed. (Focal, Oxford, 2001), pp. 108-195.
2. J. Zemanek, " Beam behaviour within the nearfield of a vibrating piston., " J. Acoust. Soc. Am. 49 (1), 181-191 (1971).
3. A. Nisbett, The Use of Microphones, 4th ed. (Focal, Oxford, 1993), p. 44.
4. J. H. Streng, " Calculation of the surface pressure on a vibrating circular stretched membrane in free space., " J. Acoust. Soc. Am. 82 (2), 679-686 (1987).
5. J. H. Streng, " Sound radiation from a circular stretched membrane in free space., " J. Audio Eng. Soc. 37 (3), 107-118 (1989).
6. C. J. Bouwkamp, " Theoretical and numerical treatment of diffraction through a circular aperture., " Indian J. Pure Appl. Phys. AP18 (2), 152-176 (1970).
7. P. M. Morse and K. U. Ingard, Theoretical Acoustics (McGraw-Hill, New York, 1968), pp. 320, 365, 389, 390.
8. R. D. Spence, " The diffraction of sound by circular disks and apertures., " J. Acoust. Soc. Am. 20 (4), 380-386 (1948).
9. R. D. Spence, " A note on the Kirchhoff approximation in diffraction theory., " J. Acoust. Soc. Am. 21 (2), 98-100 (1949).
10. T. J. Mellow, " On the sound field of a resilient disk in an infinite baffle., " J. Acoust. Soc. Am. 120 (1), 90-101 (2006).
11. H. Suzuki and J. Tichy, " Sound radiation from an elastically supported circular plate., " J. Acoust. Soc. Am. 65 (1), 106-111 (1979).
12. T. J. Mellow and L. M. Kärkkäinen, " On the sound field of a membrane in an infinite baffle., " on the CD ROM: Audio Engineering Society Convention Papers, 118th Convention, Barcelona, 28-31 May 2005, available from Audio Engineering Society Inc., 60 East 42nd Street, Room 2520, New York, NY 10165-2520.
13. T. J. Mellow and L. M. Kärkkäinen, " On the sound field of an oscillating disk in an open and closed circular baffle., " J. Acoust. Soc. Am. 118 (3), 1311-1325 (2005).
14. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, 6th ed., edited by, A. Jeffrey, (Academic, New York, 2000), p. 658, Eq. (6.521.1), p. 671, Eq. (6.567.1), p. 668, Eq. (6.561.5), p. 342, Eq. (3.381.1), p. 930, Eq. (8.532.1), p. 980, Eq. (8.930.1)-(8.930.7), p. 342, Eq. (3.381.4), p. 891, Eq. (8.356.3), p. 691, Eq. (6.621.1).
15. S. Wolfram, The Mathematica Book, 5th ed. (Wolfram Media, Champaign, IL, 2003). Symbolic computation by MATHEMATICA.
16. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1964), pp. 487, Eq. (11.4.41).
17. L. L. Beranek, Acoustics (Acoustical Society of America, New York, 1993), pp. 101-105, 118-128.
18. M. R. Stinson, " The propagation of plane sound waves in narrow and wide circular tubes, and generalization to uniform tubes of arbitrary cross-sectional shape., " J. Acoust. Soc. Am. 89 (2), 1311-1325 (2005).
19. G. N. Watson, A Treatise on the Theory of Bessel Functions, 2nd ed. (Cambridge University Press, London, 1944), pp. 141, Sec. 5.22, Eq. (5).
20. A. O. Williams, " Acoustic field of a circular plane piston., " J. Acoust. Soc. Am. 36 (12), 2408-2410 (1964).
21. P. J. Walker, " New Developments in Electrostatic Loudspeakers., " J. Audio Eng. Soc. 28 (11), 795-799 (1980).