Advertisement

Linear Acoustic Theory

  • Philip M. Morse
  • K. Uno Ingard
Part of the Encyclopedia of Physics / Handbuch der Physik book series (HDBPHYS, volume 3 / 11 / 1)

Abstract

Acoustical motion is, almost by definition, a perturbation. The slow compressions and expansions of materials, discussed in thermodynamics, are not thought of as acoustical phenomena, nor is the steady flow of air usually called sound. It is only when the compression is irregular enough so that over-all thermodynamic equilibrium may not be maintained, or when the steady flow is deflected by some obstacles so that wave motion is produced, that we consider part of the motion to be acoustical. In other words, we think of sound as a by-product, wanted or unwanted, of slower, more regular mechanical processes. And, whether the generating process be the motion of a violin bow or the rush of gas from a turbo-jet, the part of the motion we call sound usually carries but a minute fraction of the energy present in the primary process, which is not considered to be acoustical.

Keywords

Incident Wave Partial Wave Acoustic Pressure Scattered Wave Roughness Element 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Reference

  1. [1]
    Blokhintzev, D.: The Acoustics of an Inhomogeneous Moving Medium, transi by R.T. Beyer and D. Mintzer. Providence, R.. I.: Brown University 1952. See also J. Acoust. Soc. Amer. 18, 322 (1946).MathSciNetGoogle Scholar
  2. [2]
    Baker, B.B., and E.T. Copson: The Mathematical Theory of Huygens’ Principle, 2nd. ed. London: Oxford University Press 1950.Google Scholar
  3. [3]
    Borgnis, F.E.: Rev. Mod. Phys. 25, 653 (1953).ADSCrossRefzbMATHGoogle Scholar
  4. [4]
    Bouwkamp, C. J.: Thesis, Groeningen, 1941.Google Scholar
  5. [5]
    Bouwkamp, C. J.: Rep. Progr. Phys. 17, 35 (1954).MathSciNetADSCrossRefGoogle Scholar
  6. [6]
    Brekhovskikh, L.M.: Wave Propagation in Layered Media. Moscow 1957.Google Scholar
  7. [7]
    Brillouin, L.: Wave Propagation in Periodic Structures. New York-Toronto-London: McGraw-Hill Book Co., Inc. 1946.Google Scholar
  8. [8]
    Chernov, L.A.: Dokl. Acad Nauk USSR. 98, No. 6, 953 (1954).Google Scholar
  9. [9]
    Cook, R.K.: J. Acoust. Soc. Amer. 29, 324 (1957).ADSCrossRefGoogle Scholar
  10. [10]
    Cremer, L.: Die wissenschaftlichen Grundlagen der Raumakustik, Vol. III. Leipzig: Hirzel 1950.Google Scholar
  11. [11]
    Cremer, L.: Acustica 5, 245 (1955).Google Scholar
  12. [12]
    Curle, N.: Proc. Roy. Soc. Lond., Ser. A 231, 505 (1955).MathSciNetADSCrossRefzbMATHGoogle Scholar
  13. [13]
    Dryden, H.L., F.D. Murnaghan and H. Bateman: Hydrodynamics. New York: Dover Publications 1956.zbMATHGoogle Scholar
  14. [14]
    Ford, G.W., and W.C. Meecham: J. Acoust. Soc. Amer. (to be published).Google Scholar
  15. [15]
    Gierke, H.E. v.: Aircraft Noise Sources, Chap. 33. Handbook of Noise Control (C. HARRIS, editor). New York-Toronto-London: McGraw-Hill Book Company, Inc. 1957.Google Scholar
  16. [16]
    Goldstein, S.: Modern Developments of Fluid Dynamics, Chaps. I, II. Oxford 1938.Google Scholar
  17. [17]
    Groves, G.V.: J. Atmosph. Terr. Phys. 7, 113 (1955).CrossRefGoogle Scholar
  18. [18]
    Ingard, U.: J. Acoust. Soc. Amer. 19, 348 (1948).Google Scholar
  19. [19]
    Ingard, U.: J. Acoust. Soc. Amer. 31, 1035 (1959).ADSCrossRefGoogle Scholar
  20. [20]
    Ingard, U., and D. Pridmore-brown: J. Acoust. Soc. Amer. 23, 689 (1951).MathSciNetADSCrossRefGoogle Scholar
  21. [21]
    Isakovich, M. A.: Soviet Phys.-Acoust. (transi. of J. of Acoustics, USSR.) 2, 149 (1956).Google Scholar
  22. [22]
    Kirchhoff, G.: Ann. Physik 136, 177 (1868).ADSGoogle Scholar
  23. [23]
    Kneser, H.: J. Acoust. Soc. Amer. 5, 122 (1933).ADSCrossRefzbMATHGoogle Scholar
  24. [24]
    Knudsen, V. O.: J. Acoust. Soc. Amer. 3, 126 (1931).ADSCrossRefGoogle Scholar
  25. [25]
    Konstantinov, B.: J. Tech. Phys. Leningrad 9, 226, 424 (1939).Google Scholar
  26. [26]
    Kraichnan, R.H.: J. Acoust. Soc. Amer. 29, 65 (1957).ADSCrossRefGoogle Scholar
  27. [27]
    Krassilnikov, U.A., and A.M. Obukhov: Soviet Phys.-Acoust. (transi. of J. of Acoustics, USSR.) 2, 103 (1956).Google Scholar
  28. [28]
    Lamb, G.: J. Acoust. Soc. Amer. 29, 1091 (1957).MathSciNetADSCrossRefGoogle Scholar
  29. [29]
    Lamb, H.: Hydrodynamics, 6th ed. Cambridge, England: Cambridge University Press 1953.Google Scholar
  30. [30]
    Lighthill, M. J.: Proc. Cambridge Phil. Soc. 49 (1), 531 (1952).MathSciNetGoogle Scholar
  31. [31]
    Lighthill, M. J.: Proc. Roy. Soc. Lond., Ser. A 211, 564 (1952).MathSciNetADSCrossRefzbMATHGoogle Scholar
  32. [32]
    Lighthill, M. J.: Proc. Roy. Soc. Lond., Ser. A 222, 1 (1954).MathSciNetADSCrossRefzbMATHGoogle Scholar
  33. [33]
    Lin, T.C., and G.W. Morgan: J. Acoust. Soc. Amer. 28, 1165 (1956).ADSCrossRefGoogle Scholar
  34. [34]
    Lysanov, Iu. P.: Soviet Phys.-Acoust. (transl. of J. of Acoustics, USSR.) 4, 1 (1958).Google Scholar
  35. [35]
    Markham, J.: Phys. Rev. 89, 972 (1953).ADSCrossRefzbMATHGoogle Scholar
  36. [36]
    Markham, J., R. LINDSAY and R. Beyer: Rev. Mod. Phys. 23, 353 (1951).MathSciNetADSCrossRefzbMATHGoogle Scholar
  37. [37]
    Meecham, W.C., and G.W. Ford: J. Acoust. Soc. Amer. 30, 318 (1958).MathSciNetADSCrossRefGoogle Scholar
  38. [38]
    Miles, J.W.: J. Acoust. Soc. Amer. 29, 226 (1957).MathSciNetADSCrossRefGoogle Scholar
  39. [39]
    Mintzer, D.: J. Acoust. Soc. Amer. 25, 922, 1107 (1953); 26, 186 (1954).MathSciNetGoogle Scholar
  40. [40]
    Morse, P.M.: J. Acoust. Soc. Amer. 11, 56 (1939).ADSCrossRefGoogle Scholar
  41. [41]
    Morse, P.M.: J. Acoust. Soc. Amer. 11, 205 (1939).ADSCrossRefGoogle Scholar
  42. [42]
    Morse, P.M.: Vibration and Sound, 2nd ed. New York-Toronto-London: McGraw-Hill Book Co., Inc. 1948.Google Scholar
  43. [43]
    Morse, P.M., and R.H. Bolt: Rev. Mod. Phys. 16, 141 (1944).Google Scholar
  44. [44]
    Morse, P.M., and H. Feshbach: Methods of Theoretical Physics, Chap. 7. New YorkToronto-London: McGraw-Hill Book Co., Inc. 1953.Google Scholar
  45. [45]
    Morse, P.M., and H. Feshbach: Methods of Theoretical Physics, Chap. 8. New YorkToronto-London: McGraw-Hill Book Co., Inc. 1953.Google Scholar
  46. [46]
    Morse, P.M., and H. Feshbach: Methods of Theoretical Physics, Chap. 9. New YorkToronto-London: McGraw-Hill Book Co., Inc. 1953.Google Scholar
  47. [47]
    Morse, P.M., and H. Feshbach: Methods of Theoretical Physics, Sect. 11. 3. New YorkToronto-London: McGraw-Hill Book Co., Inc. 1953.Google Scholar
  48. [48]
    Morse, P.M., and H. Feshbach: Methods of Theoretical Physics, Sect. 11. 4. New YorkToronto-London: McGraw-Hill Book Co., Inc. 1953.Google Scholar
  49. [49]
    Morse, P.M., and H. Feshbach: Methods of Theoretical Physics, Sect. 12. 2. New YorkToronto-London: McGraw-Hill Book Co., Inc. 1953.Google Scholar
  50. [50]
    MÜller, E.A., and K.R. Matschat: Z. Flugwiss. 6, H. 6, 161 (1958).zbMATHGoogle Scholar
  51. [51]
    MÜller, E.A., and K.R. Matschat: The Scattering of Sound by a Single Vortex and by Turbulence. Göttingen: Max-Planck-Institut für Strömungsforschung 1959.Google Scholar
  52. [52]
    Obuxxov, A.M.: Dokl. Acad. Nauk USSR. 30, 611 (1941).Google Scholar
  53. [53]
    Obukhov, A.M.: Izv. Acad. Nauk USSR. Geophys. Ser. No. 2, 1953.Google Scholar
  54. [54]
    Oestreicher, H.L.: J. Acoust. Soc. Amer. 29, 1219 (1957).MathSciNetADSCrossRefGoogle Scholar
  55. [55]
    Pachner, J.: J. Acoust. Soc. Amer. 23, 185, 198, 481 (1951).CrossRefGoogle Scholar
  56. [56]
    PEKERIS, C. L.: J. Acoust. Soc. Amer. 18, 295 (1946).MathSciNetADSCrossRefzbMATHGoogle Scholar
  57. [57]
    Pridmore-brown, D.C., and U. Ingard: National Advisory Committee for Aeronautics Techn. Note 3494 (1955). See also J. Acoust. Soc. Amer. 27, 36 (1955).Google Scholar
  58. [58]
    Proud, J.M., P. Tamarkin and W.C. Meecham: J. Appl. Phys. 28, 1298 (1957).Google Scholar
  59. [59]
    Proudman, I.: Proc. Roy. Soc. Lond., Ser. A 214, 119 (1952).MathSciNetADSCrossRefzbMATHGoogle Scholar
  60. [60]
    Rayleigh, Lord: Theory of Sound. London: MacMillan & Co., Ltd. 1937.Google Scholar
  61. [61]
    Ribner, H. S.: J. Acoust. Soc. Amer. 29, 435 (1957).ADSCrossRefGoogle Scholar
  62. [62]
    Rudnick, I.: J. Acoust. Soc. Amer. 19, 348 (1948).MathSciNetADSCrossRefGoogle Scholar
  63. [63]
    Scxoch, A.: Schallreflexion, Schallbrechung und Schallbeugung. In: Ergebnisse der exakten Naturwissenschaften, Bd. XXII, Sect. 33. Berlin: Springer 1950.Google Scholar
  64. [64]
    Schoch, A.: Schallreflexion, Schallbrechung und Schallbeugung. In: Ergebnisse der exakten Naturwissenschaften, Bd. XXII, Sect. 34, 37. Berlin: Springer 1950.Google Scholar
  65. [65]
    Scxoch, A.: Acustica 3, 181 (1953).Google Scholar
  66. [66]
    Schoch, A.: Acustica 2, 1 (1952); 4, 289 (1954).Google Scholar
  67. [67]
    Schuster, K.: Akust. Z. 4, 335 (1939).Google Scholar
  68. [68]
    Scott, R.: Proc. Phys. Soc. Lond. 58, 358 (1946).ADSCrossRefGoogle Scholar
  69. [69]
    Seckler, B.D., and J.B. Keller: J. Acoust. Soc. Amer. 31, 192 (1959).Google Scholar
  70. [70]
    Skudrzyk, E.: Grundlagen der Akustik. Berlin: Springer 1952.Google Scholar
  71. [71]
    Skudrzyk, E.: J. Acoust. Soc. Amer. 29, 50 (1957).ADSCrossRefGoogle Scholar
  72. [72]
    Sommerfeld, A.: Partial Differential Equations in Physics (Lectures on Theoretical Physics, Vol. I ). New York: Academic Press 1949.Google Scholar
  73. [73]
    Sommerfeld, A.: Mechanics of Deformable Bodies (Lectures on Theoretical Physics, Vol. II ). New York: Academic Press 1950.Google Scholar
  74. [74]
    Stenzel, H.: Ann. Physik 43, 1 (1943).MathSciNetADSCrossRefzbMATHGoogle Scholar
  75. [75]
    Stenzel, H.: Leitfaden zur Berechnung von Schallgängen. Berlin: Springer 1958.zbMATHGoogle Scholar
  76. [76]
    Twersky, V.: J. Acoust. Soc. Amer. 19, 209 (1957).MathSciNetADSCrossRefGoogle Scholar
  77. [77]
    Walter, A.G.: Proc. Cambridge Phil. Soc. 47, 109 (1951).Google Scholar
  78. [78]
    Zwikker, E., and C.W. Kosten: Sound Absorbing Materials. New York: Elsevier 1949.Google Scholar

Copyright information

© Springer-Verlag OHG. Berlin · Göttingen · Heidelberg 1961

Authors and Affiliations

  • Philip M. Morse
  • K. Uno Ingard

There are no affiliations available

Personalised recommendations