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Microphones and Their Calibration

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Springer Handbook of Acoustics

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Abstract

The condenser microphone continues to be the standard against which other microphones are calibrated. A brief discussion of the theory of the condenser microphone, including its open-circuit voltage, electrical transfer impedance, and mechanical response, is given. The most precise method of calibration, the reciprocity pressure calibration method for laboratory standard microphones is discussed in detail, beginning with the principles of the reciprocity method. Corrections for heat conduction, equivalent volume, capillary tube, wave motion, barometric pressure and temperature are necessary to achieve the most accurate open-circuit sensitivity of condenser microphones.

Free-field calibration is discussed briefly, and in view of the difficulties in obtaining more accurate results than those provided by the reciprocity method, references are given for more detailed consideration. Secondary microphone calibration methods by comparison are described. These methods include interchange microphone comparison, comparison with a calibrator, comparison pressure and free-field, and comparison with a precision attenuator. These secondary calibration methods, which are adequate for most industrial applications, are economically attractive and less time consuming.

The electrostatic actuator method for frequency response measurement of working standard microphones is discussed with some pros and cons presented. An example to demonstrate the stability of laboratory standard microphones and the stability of a laboratory calibration system is described.

Appendix A discusses acoustic transfer impedance evaluation, while appendix B contains physical properties of air, which are necessary for microphone calibration.

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Abbreviations

AC:

alternating current

ANSI:

American National Standards Institute

DC:

direct current

IEC:

International Electrotechnical Commission

ISO:

International Organization for Standardization

LS:

laboratory standard

NMI:

National Metrology Institute

RC:

room criterion

WS:

working standard

References

  1. E.C. Wente: A condenser transmitter as a uniformly sensitive instrument for the absolute measurement of sound intensity, Phys. Rev. 10(1), 39–63 (1917)

    Article  ADS  Google Scholar 

  2. S. Ballantine: Technique of microphone calibration, J. Acoust. Soc. Am. 3, 319–360 (1932)

    Article  ADS  Google Scholar 

  3. W.R. MacLean: Absolute measurement of sound without a primary standard, J. Acoust. Soc. Am. 12, 140–146 (1940)

    Article  ADS  Google Scholar 

  4. R.K. Cook: Absolute pressure calibration of microphones, Res. Nat. Bur. Stand. 25, 489–555 (1940)

    Article  Google Scholar 

  5. R.K. Cook: Absolute pressure calibration of microphones, J. Acoust. Soc. Am. 12, 415–420 (1941), published in abbreviated form

    Article  ADS  Google Scholar 

  6. M.S. Hawley: The condenser microphone as an acoustical standard, Bell Lab. Rec. 22, 6–10 (1943)

    Google Scholar 

  7. A.L. DiMattia, F.M. Wiener: On the absolute pressure calibration of condenser microphones by the reciprocity method, J. Acoust. Soc. Am. 18(2), 341–344 (1946)

    Article  ADS  Google Scholar 

  8. M.S. Hawley: The substitution method of measuring the open circuit voltage generated by a microphone, J. Acoust. Soc. Am. 21(3), 183–189 (1949)

    Article  ADS  Google Scholar 

  9. B.D. Simmons, F. Biagi: Pressure calibration of condenser microphones above 10 000 cps, J. Acoust. Soc. Am. 26(5), 693–695 (1954)

    Article  ADS  Google Scholar 

  10. T. Hayasaka, M. Suzuki, T. Akatsuka: New method of absolute pressure calibration of microphone sensitivity, Inst. Electr. Commun. Eng. Jpn. 33, 674–680 (1955)

    Google Scholar 

  11. H.G. Diestel: Zur Bestimmung der Druckempfindlichkeit von Mikrophonen, Acustica 9, 398–402 (1959), (in German)

    Google Scholar 

  12. T.F.W. Embleton, I.R. Dagg: Accurate coupler pressure calibration of condenser microphones at middle frequencies, J. Acoust. Soc. Am. 32, 320–326 (1960)

    Article  ADS  Google Scholar 

  13. W. Koidan: Method for measurement of [Eʼ/Iʼ] in the reciprocity calibration of microphones, J. Acoust. Soc. Am. 32, 611 (1960)

    Article  ADS  Google Scholar 

  14. A.N. Rivin, V.A. Cherpak: Pressure calibration of measuring microphones by the reciprocity method, Sov. Phys. Acoust. 6, 246–253 (1960)

    Google Scholar 

  15. P.V. Brüel: Accuracy of condenser microphone calibration methods, Part II, Tech. Rev. No. 1 (Brüel Kjær, Nærum 1965)

    Google Scholar 

  16. P. Riety, M. Lecollinet: Le dispositif dʼetalonnage primaire des microphones de laboratoire de lʼInstitut National de Metrologie, Metrologia 10, 17–34 (1974)

    Article  ADS  Google Scholar 

  17. A.C. Corney: Capacitor microphone reciprocity calibration, Metrologia 11, 25–32 (1975)

    Article  ADS  Google Scholar 

  18. H. Miura, T. Takahashi, S. Sato: Correction for 1/2 inch laboratory standard condenser microphones, Trans. IECE Japan EA77-41, 15–22 (1977)

    Google Scholar 

  19. A. Suzuki, S. Yoshikawa: Simplified method for pressure calibration of condenser microphones using active couplers, Trans. IECE Japan EA77-40, 9–14 (1977)

    Google Scholar 

  20. G.S.K. Wong, T.F.W. Embleton: Arrangement for precision reciprocity calibration of condenser microphones, J. Acoust. Soc. Am. 66(5), 1275–1280 (1979)

    Article  ADS  Google Scholar 

  21. V. Nedzelnitsky, E.D. Burnett, W.B. Penzes: Calibration of laboratory condenser microphones, Proc. 10th Transducer Workshop, Transducer Committee, Telemetry Group, Range Commanders Council (DTIC, Colorado Springs 1979)

    Google Scholar 

  22. A. Suzuki, S. Yoshikawa: On the estimated error for pressure calibration of standard condenser microphones, Electr. Commun. Lab. J. (Jpn) 29(7), 1251–1262 (1980)

    Google Scholar 

  23. D.L.H. Gibbings, A.V. Gibson: Contributions to the reciprocity calibration of microphones, Metrologia 17, 7–15 (1981)

    Article  ADS  Google Scholar 

  24. T. Takahashi, H. Miura: Corrections for the reciprocity calibration of laboratory standard condenser microphones, Bull. Electrotech. Lab. (Jpn) 46(3-4), 78–81 (1982)

    Google Scholar 

  25. M.E. Delany, E.N. Bazley: Uncertainties in realizing the standard of sound pressure by closed-coupler reciprocity technique, Acoustics Report Ac 99 (National Physical Laboratory, Teddington 1980), (see also 2nd ed. 1982)

    Google Scholar 

  26. D.L.H. Gibbings, A.V. Gibson: Wide-band calibration of capacitor microphones, Metrologia 20, 95–99 (1984)

    Article  ADS  Google Scholar 

  27. L.L. Beranek: Acoustical Measurements (Acoust. Soc. Am./AIP, Melville 1988), 4, pp. 133-134

    Google Scholar 

  28. K.O. Ballagh, A.C. Corney: Some developments in automated microphone reciprocity calibration, Acustica 71, 200–209 (1990)

    Google Scholar 

  29. G.S.K. Wong, T.F.W. Embleton: AIP Handbook of Condenser Microphones. Theory, Calibration, and Measurements (American Institute of Physics, New York 1995)

    Google Scholar 

  30. N.H. Fletcher, S. Thwaites: Electrode surface profile and the performance of condenser microphones, J. Acoust. Soc. Am. 112(6), 2779–2785 (2002)

    Article  ADS  Google Scholar 

  31. BIPM: Guide to the Expression of Uncertainties in Measurement (BIPM, Paris 1995)

    Google Scholar 

  32. G.S.K. Wong: Precise measurement of phase difference and amplitude ratio of two coherent sinusoidal signals, J. Acoust. Soc. Am. 75(3), 967–972 (1984)

    Article  ADS  Google Scholar 

  33. B. Daniels: Acoustic impedance of enclosures, J. Acoust. Soc. Am. 19, 569–571 (1947)

    Article  ADS  Google Scholar 

  34. F. Biagi, R.K. Cook: Acoustic impedance of a right circular cylindrical enclosure, J. Acoust. Soc. Am. 26, 506–509 (1954)

    Article  ADS  Google Scholar 

  35. H. Gerber: Acoustic properties of fluid-filled chambers at infrasonic frequencies in the absence of convection, J. Acoust. Soc. Am. 36, 1427–1434 (1964)

    Article  ADS  MathSciNet  Google Scholar 

  36. K.O. Ballagh: Acoustical admittance of cylindrical cavities, J. Sound Vib. 112(3), 567–569 (1987)

    Article  ADS  Google Scholar 

  37. D.R. Jarvis: Acoustical admittance of cylindrical cavities, J. Sound Vib. 117(2), 390–392 (1987)

    Article  ADS  Google Scholar 

  38. ANSI: ANSI S1.15 – 2005. American National Standard Measurement Microphones – Part 2: Primary Method for Pressure Calibration of Laboratory Standard Microphones by Reciprocity Technique (NIST, Gaithersburg 2005)

    Google Scholar 

  39. T. Salava: Measurement of the Acoustic Impedance of Standard Laboratory Microphones, The Acoustics Laboratory, Report, Vol. 18 (Technical University of Denmark, Lyngby 1976)

    Google Scholar 

  40. IEC: IEC 61094-2:1992-03 Measurement Microphones – Part 2: Primary Method for Pressure Calibration of Laboratory Standard Microphones by the Reciprocity Technique (IEC, Geneva 1992)

    Google Scholar 

  41. ANSI S1.15-1997/Part 1 (R2001) American National Standard Measurement Microphones – Part 1: Specifications for Laboratory Standard Microphones. See also: IEC International Standard 61094-1 1992-05: Measurement Microphones Part 1: Specifications for Laboratory Standard Microphones (NIST, Gaithersburg 1997)

    Google Scholar 

  42. K. Rasmussen: Acoustical Behaviour of Cylindrical Couplers, The Acoustics Laboratory Report, Vol. 1 (Technical University of Denmark, Lyngby 1969)

    Google Scholar 

  43. H. Miura, E. Matsui: On the analysis of the wave motion in a coupler for the pressure calibration of laboratory standard microphones, J. Acoust. Soc. Jpn. 30, 639–646 (1974)

    Google Scholar 

  44. F. Jacobsen: An improvement of the coupler for reciprocity calibration of microphones, Acustica 38, 151–153 (1977)

    Google Scholar 

  45. G.S.K. Wong, L. Wu: Controlled environment for reciprocity calibration of laboratory standard microphone and measurement of sensitivity pressure correction, Metrologia 36, 275–280 (1999)

    Article  ADS  Google Scholar 

  46. L. Wu, G.S.K. Wong, P. Hanes, W. Ohm: Measurement of sensitivity level pressure corrections for LS2P laboratory standard microphones, Metrologia 42, 45–48 (2005)

    Article  ADS  Google Scholar 

  47. K. Rasmussen: The influence of environmental conditions on the pressure sensitivity of measurement microphones, Brüel and Kjær Technical Review 1, 1–13 (2001)

    Google Scholar 

  48. G.S.K. Wong, L. Wu: Controlled environment for reciprocity callibration of laboratory standard miccrophones and measurement of sensitivity pressure correction, Metrologica 36, 275–280 (1999)

    Article  ADS  Google Scholar 

  49. K. Rasmussen: The static pressure and temperature coefficients of laboratory standard microphones, Metrologia 36(4), 265–273 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  50. G.S.K. Wong: Primary pressure calibration by reciprocity. In: AIP Handbook of Condenser Microphones. Theory, Calibration, and Measurements, ed. by G.S.K. Wong, T.F.W. Embleton. (American Institute of Physics, New York 1995) p. 99, Chap. 4

    Google Scholar 

  51. V. Nedzelnitsky: Primary method for calibrating free-field response. In: AIP Handbook of Condenser Microphones. Theory, Calibration, and Measurements, ed. by G.S.K. Wong, T.F.W. Embleton (American Institute of Physics, New York 1995) pp. 103–119, Chap. 5

    Google Scholar 

  52. IEC: IEC 61094-3 Ed. 1.0 b: 1995 Measurement Microphones – Part 3: Primary Method for Free-Field Calibration of Laboratory Standard Microphones by the Reciprocity Technique (IEC, Geneva 1995)

    Google Scholar 

  53. G.S.K. Wong, T.F.W. Embleton: Three-port two-microphone cavity for acoustical calibrations, J. Acoust. Soc. Am. 71(5), 1276–1277 (1982)

    Article  ADS  Google Scholar 

  54. G.S.K. Wong, L. Wu: Interchange Microphone Method for Calibration by Comparison, Congress on Noise Control Engineering, Christchurch (Institute of Noise Control Engineering, Ames 1998), paper #15

    Google Scholar 

  55. G.S.K. Wong: Precision method for phase match of microphones, J. Acoust. Soc. Am. 90(3), 1253–1255 (1991)

    Article  ADS  Google Scholar 

  56. IEC: IEC 61094-5: 2001 Measurement Microphones Part 5: Method for Pressure Calibration of Working Standard Microphones by Comparison (IEC, Geneva 2001)

    Google Scholar 

  57. G.S.K. Wong: Comparison methods for microphone calibration. In: AIP Handbook of Condenser Microphones. Theory, Calibration, and Measurements, ed. by G.S.K. Wong, T.F.W. Embleton (American Institute of Physics, New York 1995) pp. 215–222, Chap. 13

    Google Scholar 

  58. G.S.K. Wong: Precision ac-voltage-level measuring system for acoustics, J. Acoust. Soc. Am. 65(3), 830–837 (1979)

    Article  ADS  Google Scholar 

  59. W. Koidan: Calibration of standard condenser microphones: Coupler versus electrostatic actuator, J. Acoust. Soc. Am. 44(5), 1451–1453 (1968)

    Article  ADS  Google Scholar 

  60. E. Frederiksen: Electrostatic actuator. In: AIP Handbook of Condenser Microphones. Theory, Calibration, and Measurements, ed. by G.S.K. Wong, T.F.W. Embleton (American Institute of Physics, New York 1995) pp. 231–246, Chap. 15

    Google Scholar 

  61. P.V. Brüel: The accuracy of microphone calibration methods, Part II, Tech. Rev., Vol. 1 (Brüel and Kjær, Nærum 1965) pp. 3–26

    Google Scholar 

  62. G. Rasmussen: Free-Field and Pressure Calibration of Condenser Microphones Using Electrostatic Actuator, Proc. 6th Int. Congress on Acoustics (Elsevier, New York 1968) pp. 25–28

    Google Scholar 

  63. ISO: IEC 61094-6: 2004 Measurement microphones – Part 6: Electrostatic Actuators for Determination of Frequency Response (IEC, Geneva 2004)

    Google Scholar 

  64. G.B. Madella: Substitution method for calibrating a microphone, J. Acoust. Soc. Am. 20(4), 550–551 (1948)

    Article  ADS  Google Scholar 

  65. V. Nedzelnitsky: Laboratory microphone calibration methods at the National Institute of Standards and Technology USA. In: AIP Handbook of Condenser Microphones. Theory, Calibration, and Measurements, ed. by G.S.K. Wong, T.F.W. Embleton (American Institute of Physics, New York 1995) pp. 145–161, Chap. 8

    Google Scholar 

  66. G.S.K. Wong, L. Wu: Interlaboratory comparison of microphone calibration, J. Acoust. Soc. Am. 115(2), 680–682 (2004)

    Article  ADS  Google Scholar 

  67. G.S.K. Wong, L. Wu: Primary microphone calibration system stability, J. Acoust. Soc. Am. 114(2), 577–579 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  68. ISO: ISO 2533-1975(E), 1975 Standard Atmosphere, International Organization for Standardization (ISO, Geneva 1975)

    Google Scholar 

  69. P. Giacomo: Equation for the determination of the density of moist air (1981), Metrologia 18, 33–40 (1982)

    Article  ADS  Google Scholar 

  70. R.S. Davis: Equation for the determination of the density of moist air (1981/91), Metrologia 29, 67–70 (1992)

    Article  ADS  Google Scholar 

  71. G.S.K. Wong: Approximate equations for some acoustical and thermodynamic properties of standard air, J. Acoust. Soc. Jpn. E 11, 145–155 (1990)

    Article  Google Scholar 

  72. O. Cramer: The variation of the specific heat ratio and the speed of sound in air with temperature, pressure, humidity, and concentration, J. Acoust. Soc. Am. 93, 2510–2516 (1993)

    Article  ADS  Google Scholar 

  73. G.S.K. Wong: Comments on The variation of the specific heat ratio and the speed of sound in air with temperature, pressure, humidity, and concentration, J. Acoust. Soc. Am. 93, 2510–2516 (1993)

    Article  Google Scholar 

  74. G.S.K. Wong: Comments on The variation of the specific heat ratio and the speed of sound in air with temperature, pressure, humidity, and concentration, J. Acoust. Soc. Am. 97(5), 3177–3179 (1995)

    Article  ADS  Google Scholar 

  75. G.S.K. Wong: Speed of sound in standard air, J. Acoust. Soc. Am. 79, 1359–1366 (1986)

    Article  ADS  Google Scholar 

  76. M. Greenspan: Comments on speed of sound in standard air, J. Acoust. Soc. Am. 79, 1359–1366 (1986)

    Article  Google Scholar 

  77. M. Greenspan: Comments on speed of sound in standard air, J. Acoust. Soc. Am. 82, 370–372 (1987)

    Article  ADS  Google Scholar 

  78. G.S.K. Wong: Response to comments on `Speed of sound in standard airʼ, J. Acoust. Soc. Am. 82, 370–372 (1987)

    Article  ADS  Google Scholar 

  79. G.S.K. Wong: Response to comments on `Speed of sound in standard airʼ, J. Acoust. Soc. Am. 83, 373–374 (1987)

    Article  ADS  Google Scholar 

  80. G.S.K. Wong: Air sound speed measurement and computation. A historical review. In: Handbook of the Speed of Sound in Real Gases, Vol. 3, ed. by A.J. Zuckerwar (Academic, New York 2002) pp. 265–284, Chap. 17, and references therein

    Google Scholar 

  81. C.M. Harris: Effects of humidity on the velocity of sound in air, J. Acoust. Soc. Am. 49, 890–893 (1971)

    Article  ADS  Google Scholar 

  82. G.P. Howell, C.L. Morfey: Frequency dependence of the speed of sound in air, J. Acoust. Soc. Am. 82, 375–376 (1987)

    Article  ADS  Google Scholar 

  83. G.S.K. Wong, T.F.W. Embleton: Experimental determination of the variation of specific heat ratio in air with humidity, J. Acoust. Soc. Am. 77, 402–407 (1985)

    Article  ADS  Google Scholar 

  84. J.R. Partington, W.G. Shilling: The Specific Heats of Gases (Ernest Benn, London 1924)

    Google Scholar 

  85. G.S.K. Wong, T.F.W. Embleton: Variation of specific heats and of specific heat ratios in air with humidity, J. Acoust. Soc. Am. 76, 555–559 (1984)

    Article  ADS  Google Scholar 

  86. A.J. Zuckerwar: Speed of sound in air. In: , Handbook of the Speed of Sound in Real Gases, Vol. 3, ed. by A.J. Zuckerwar (Academic, New York 2002)

    Google Scholar 

  87. E. Lide (Ed.): CRC Handbook of Chemistry and Physics, 83rd edn. (CRC, Boca Raton 2002-2003) pp. 6–182

    Google Scholar 

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Wong, G.S. (2014). Microphones and Their Calibration. In: Rossing, T.D. (eds) Springer Handbook of Acoustics. Springer Handbooks. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-0755-7_24

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