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Sound Waves in Rooms

Philip M. Morse and Richard H. Bolt*

Philip M. Morse and Richard H. Bolt*

  • Acoustics Laboratory, Massachusetts Institute of Technology, Cambridge, Massachusetts

  • *Member of the Physics Department, University of Illinois, during part of the time this article has been in process of preparation.

Rev. Mod. Phys. 16, 69 – Published 1 April, 1944Erratum Rev. Mod. Phys. 16, 324 (1944)

DOI: https://doi.org/10.1103/RevModPhys.16.69

Erratum

Sound Waves in Rooms

Philip M. Morse and Richard H. Bolt
Rev. Mod. Phys. 16, 324 (1944)

References (127)

  1. F. Aigner, "Experimentelle Studie über d. Nachhall," Akad. Wiss. Wien 123, 1489 (1914)
  2. C. A. Andree, "Effect of position on the absorption of materials for the case of a cubical room," J. Acous. Soc. Am. 3, 535 (1932)
  3. G. v. Bekesy, "Uber die Horsamkeit kleiner Musikraume," Ann. d. Physik 19, 665 (1934)
  4. L. L. Beranek, "Precision Measurement of acoustical impedance," J. Acous. Soc. Am. 12, 3 (1940)
  5. L. L. Beranek, "Acoustical impedance of commercial materials and the performance of rectangular rooms with one treated surface," J. Acous. Soc. Am. 12, 14 (1940)
  6. L. L. Beranek, "Acoustic impedance of porous materials," J. Acous. Soc. Am. 13, 248 (1942)
  7. N. B. Bhatt, "The effect of an absorbing wall on the decay of normal frequencies," J. Acous. Soc. Am. 11, 67 (1939)
  8. R. H. Bolt, "Frequency distribution of eigentones in a three-dimensional continuum," J. Acous. Soc. Am. 10, 228 (Jan. 1939) "Angular distribution theory," 11, 74 (1939)
  9. R. H. Bolt and A. A. Petrauskas, "An acoustic impedance meter for rapid field measurements," J. Acous. Soc. Am. 15, 79A (1943)
  10. R. H. Bolt, "Normal modes of vibration in room acoustics; " "Experimental investigations in non-rectangular enclosures," J. Acous. Soc. Am. 11, 184 (1939)
  11. R. H. Bolt and R. L. Brown, "Variable boundary impedance," J. Acous. Soc. Am. 12, 31 (1940)
  12. R. H. Bolt, H. Feshbach, and A. M. Clogston, "Perturbation of sound waves in irregular rooms," J. Acous. Soc. Am. 14, 65 (1942)
  13. C. P. Boner, "Performance of broadcast studios designed with convex surfaces of plywood," J. Acous. Soc. Am. 13, 244 (1942)
  14. R. L. Brown, R. H. Bolt, and P. M. Morse, "Acoustic impedance and sound absorption," J. Acous. Soc. Am. 12, 217 (1940)
  15. R. L. Brown and R. H. Bolt, "Measurement of flow resistance of porous acoustic materials," J. Acous. Soc. Am. 13, 337 (1942)
  16. E. Buckingham, Bull. Bur. Stand. 20, 193 (1925)
  17. V. L. Chrisler, "Acoustical work of the National Bureau of Standards," J. Acous. Soc. Am. 7, 79 (1935)
  18. V. L. Chrisler, "Sound absorption coefficients," J. Acous. Soc. Am. 6, 115 (1934)
  19. C. W. Clapp and F. A. Firestone, "The acoustic wattmeter, an instrument for measuring sound energy flow," J. Acous. Soc. Am. 13, 12 (1941)
  20. I. B. Crandall, Theory of Vibrating Systems and Sound (D. Van Nostrand Company, New York, 1927)
  21. H. Cremer and L. Cremer, "The theoretical derivations of the laws of reverberation," Akustische Zeits. 2, 225, 296 (1937)
  22. L. Cremer, "The physical basis of room acoustics," Zeits. f. tech. Physik 17, 528 (1936)
  23. L. Cremer, "Nachhallzeit und Dämpfungsmass bei streifendem Einfall," Akustische Zeits. 5, 57 (1940)
  24. A. H. Davis, "Reverberation equations for two adjacent rooms connected by incompletely soundproof partition," Phil. Mag. 50, 75-80 (1925)
  25. A. H. Davis, "The basis of acoustic measurements by reverberation methods," Phil. Mag. 2, 543 (1926)
  26. A. H. Davis and E. J. Evans, "Measurement of absorbing power of materials by the stationary wave method." Proc. Roy. Soc. A127, 89-110 (1930)
  27. I. Dreisen, "The orientation of natural acoustic vibrations in a room with concentrated absorbents and of anomalous shapes," Tech. Phys. USSR 3, 743 (1936)
  28. E. A. Eckhardt, "Acoustics of rooms," J. Frank. Inst. 195, 799 (1923)
  29. L. P. Eisenhart, "Separable Euclidean coordinates," Ann. Math. 35, 284 (1934)
  30. C. F. Eyring, "Reverberation time in `dead' rooms," J. Acous. Soc. Am. 1, 217-241 (1930)
  31. C. F. Eyring, "Conditions under which residual sound in reverberent rooms may have more than one rate of decay," J. Soc. Mot. Pict. Eng. 15, 528 (1943)
  32. C. F. Eyring, "Symposium discussion," J. Acous. Soc. Am. 11, 104 (1939)
  33. H. Feshbach and A. M. Clogston, "Perturbation of boundary conditions," Phys. Rev. 59, 189 (1941)
  34. H. Feshbach, "On the perturbation of boundary conditions," Phys. Rev. 65, 307 (1944)
  35. H. Fletcher and J. C. Steinberg, "Articulation testing methods," J. Acous. Soc. Am. 1, No. 2, Pt. 2 (1930)
  36. A. D. Fokker, "Sabine's formule voor den nagalm," Physica 7, 198 (1927)
  37. W. S. Franklin, "Derivation of equation of decaying sound in a room," Phys. Rev. 16, 372 (1903)
  38. A. Gemant, "Resistance to airflow in sound absorbers," Preuss. Akad. Wiss. 17, 579 (1933)
  39. W. M. Hall, "An acoustic transmission line for impedance measurements," J. Acous. Soc. Am. 11, 140 (1939)
  40. R. L. Hanson, "Liveness of rooms," J. Acous. Soc. Am. 3, 318 (1932)
  41. J. Henry, "Acoustics applied to public buildings," Smithsonian Reports (1854 and 1856)
  42. P. R. Heyl, V. L. Chrisler, and W. F. Snyder, "The absorption of sound at oblique angles of incidence," Bur. Stand. J. of Research 4, 289 (1930)
  43. F. V. Hunt, "On frequency modulated signals in reverberation measurements," J. Acous. Soc. Am. 5, 127 (1933)
  44. F. V. Hunt, "Apparatus and technique for reverberation measurements," J. Acous. Soc. Am. 8, 34 (1936)
  45. F. V. Hunt, "Investigation of room acoustics by steady state transmission measurements," J. Acous. Soc. Am. 10, 216 (1939)
  46. F. V. Hunt, "Absorption coefficient problem," J. Acous. Soc. Am. 11, 38 (1939)
  47. F. V. Hunt, L. L. Beranek, and D. Y. Maa, "Analysis of sound decay in rectangular rooms," J. Acous. Soc. Am. 11, 80 (1939)
  48. Kodi Husimi, "On the asymptotic distribution of frequencies of a Hohlraum and the surface tension of an ideal gas," Proc. Phys. Math. Soc. Japan 21, 759 (1939)
  49. A. Jager, "Zur theorie des Nachhalls," Akad. Wiss. Wien 2a, 120, 613 (1911)
  50. J. Jeans, "On the partition of energy between matter and aether," Phil. Mag. 10, 91 (1905)
  51. R. C. Jones, "Theory of fluctuations in decay of sound," J. Acous. Soc. Am. 11, 324 (1940)
  52. V. O. Knudsen, "Acoustics of music rooms," J. Acous. Soc. Am. 2, 434 (1931)
  53. V. O. Knudsen, "Absorption of sound in air," J. Acous. Soc. Am. 3, 126 (1931)
  54. V. O. Knudsen, Architectural Acoustics (John Wiley & Sons, Inc., New York, 1932)
  55. V. O. Knudsen, "Measurement of sound absorption in a room," Phil. Mag. 5, 1240 (1928)
  56. V. O. Knudsen, "Resonance in small rooms," J. Acous. Soc. Am. 4, 20-37 (1932)
  57. V. O. Knudsen, "The absorption of sound in air, in oxygen, and in nitrogen," J. Acous. Soc. Am. 5, 112 (1933)
  58. V. O. Knudsen, "Recent developments in architectural acoustics," Rev. Mod. Phys. 6, 1 (1934)
  59. V. Kuhl and E. Meyer, "Untersuchungen über die Winkel- und Frequenz-abhängigheit der Schallschluckung von Pyorösen Stoffen," Preuss. Akad. Wiss. 26, 416 (1932)
  60. K. Kurhihara, "Distribution of sound energy in an enclosed space," Proc. Phys. Math. Soc. Japan 10, 71 (1928)
  61. M. von Laue, "Die Freiheitsgrade von Strahlenbündeln," Ann. d. Physik 44, 1197 (1914)
  62. S. Lifschitz, "Mean intensity of sound in an auditorium, and optimum reverberation," Phys. Rev. 27, 618 (1926)
  63. S. Lifschitz, "Acoustics of large auditoriums," J. Acous. Soc. Am. 4, 113 (1932)
  64. S. Lifschitz, "Apparent duration of sound perception and musical optimum reverberation," J. Acous. Soc. Am. 7, 213 (1936)
  65. D. P. Loye and R. L. Morgan, "Acoustic tube for measuring the sound absorption coefficients of small samples," J. Acous. Soc. Am. 13, 261 (1942)
  66. D. Y. Maa, "The distribution of eigentones in a rectangular chamber at lower frequency ranges," J. Acous. Soc. Am. 10, 258 (1939)
  67. D. Y. Maa, "Non-uniform acoustical boundaries in rectangular rooms," J. Acous. Soc. Am. 12, 39 (1940)
  68. D. Y. Maa, "Flutter echoes," J. Acous. Soc. Am. 13, 170 (1941)
  69. W. A. MacNair, "Optimum reverberation time for auditoriums," J. Acous. Soc. Am. 1, 242 (1930)
  70. J. P. Maxfield and C. C. Potwin, "A modern concept of acoustical design," J. Acous. Soc. Am. 11, 48 (1939)
  71. E. Meyer, "Reverberation and absorption of sound," J. Acous. Soc. Am. 8, 155 (1937)
  72. G. Millington, "A modified formula for reverberation," J. Acous. Soc. Am. 4, 69 (1932)
  73. A. Monna, "Absorption of sound by porous substances," Physica 5, 129 (1938) Rev. d acoustique 7, 126 (1938)
  74. K. C. Morrical, "A modified tube method for measurement of sound absorption," J. Acous. Soc. Am. 8, 162 (1931)
  75. R. M. Morris, G. M. Nixon, and J. S. Parkinson, "Variations in absorption coefficients as obtained by the reverberation chamber method," J. Acous. Soc. Am. 9, 234 (1938)
  76. P. M. Morse, Vibration and Sound (McGraw-Hill Book Company, Inc., New York, 1936) in particular, Chapter VIII
  77. P. M. Morse, "Some aspects of the theory of room acoustics," J. Acous. Soc. Am. 11, 56 (1939)
  78. P. M. Morse, "Transmission of sound inside pipes," J. Acous. Soc. Am. 11, 205 (1939)
  79. R. F. Norris, "V. O. KnudsenA derivation of the reverberation formula," Appendix II in Architectural Acoustics by (John Wiley & Sons, Inc., New York, 1932)
  80. H. F. Olsen and B. Kreuzer, "The reverberation time bridge," J. Acous. Soc. Am. 2, 78 (1930)
  81. E. T. Paris, "Sound absorption coefficients measured by reverberation and stationary wave methods," Nature 120, 806, 880 (1927)
  82. E. T. Paris, "On the reflection of sound from a porous surface," Proc. Phys. Soc. 115, 407-419 (1927)
  83. E. T. Paris, "On the stationary wave method of measuring sound absorption at normal incidence," Proc. Phys. Soc. 39, 269-295 (1927)
  84. E. T. Paris, "Resonance in pipes stopped with imperfect reflectors," Phil. Mag. 4, 907-917 (1927)
  85. E. T. Paris, "On the coefficient of sound-absorption measured by the reverberation method," Phil. Mag. 5, 489-497 (1928)
  86. E. T. Paris, "Oblique reflection of sound," Nature 9, 126 (1930)
  87. J. S. Parkinson, "Area and pattern effects in the measurement of sound absorption," J. Acous. Soc. Am. 2, 112 (1930)
  88. H. L. Penman and E. G. Richardson, "The absorption of porous materials at normal incidence," J. Acous. Soc. Am. 4, 322 (1933)
  89. J. R. Power, "Measurement of absorption in rooms with sound absorbing ceilings," J. Acous. Soc. Am. 10, 98 (1938)
  90. A. V. Rabinovich, "Effect of distance in the broadcasting studio," J. Acous. Soc. Am. 7, 199 (1936)
  91. L. G. Ramer, "Absorption of strips, effects of width and location," J. Acous. Soc. Am. 12, 323 (1941)
  92. Rayleigh, "The law of complete radiation," Phil. Mag. 49, 539 (1900)
  93. Rayleigh, Theory of Sound (The Macmillan Company, New York, Vol. II, Chap. 13, 1929)
  94. M. Rettinger, "Note on reverberation characteristics," J. Acous. Soc. Am. 6, 51 (1934)
  95. M. Rettinger, "One the theory of sound absorption of porous materials," J. Acous. Soc. Am. 6, 188 (1935)
  96. M. Rettinger, "Theory of sound absorption of porous materials, flexible and non-flexible," J. Acous. Soc. Am. 8, 53 (1936)
  97. G. M. Roe, "Frequency distribution of normal modes," J. Acous. Soc. Am. 13, 1 (1941)
  98. W. C. Sabine, Collected Papers on Acoustics (Harvard University Press, 1922)
  99. W. C. Sabine, Collected Papers on Acoustics (Harvard University Press, 1929) p. 43
  100. P. E. Sabine, "Diffraction effects in sound absorption measurements," Phys. Rev. 19, 402 (1922)
  101. P. E. Sabine, "What is measured in sound absorption measurements? " J. Acous. Soc. Am. 6, 239 (1935)
  102. P. E. Sabine, "The beginnings of architectural acoustics," J. Acous. Soc. Am. 7, 242-248 (1936)
  103. P. E. Sabine, "The effect of cylindrical pillars in a reverberation chamber," J. Acous. Soc. Am. 10, 1 (1938)
  104. P. E. Sabine, "Architectural acoustics, its past and its future," J. Acous. Soc. Am. 11, 21 (1939)
  105. P. E. Sabine, "Specific normal impedance and sound absorption coefficients of materials," J. Acous. Soc. Am. 12, 317 (1941)
  106. H. J. Sabine, "Notes on acoustic impedance measurements," J. Acous. Soc. Am. 14, 143 (1942)
  107. K. Schuster and E. Waetzmann, "Uber den Nachhall in geschlossenen Raumen," Ann. d. Physik 1, 671 (1929)
  108. K. Schuster, "Berechnung der Schalldichte in einem Kugelformigen Raume," Ann. d. Physik 1, 696 (1929)
  109. W. H. Sette, "A new reverberation time formula," J. Acous. Soc. Am. 4, 193 (1933)
  110. G. T. Stanton, F. C. Schmidt, and W. J. Brown, "Reverberation measurements in auditoriums," J. Acous. Soc. Am. 4, 95-105 (1934)
  111. G. T. Stanton, "Correlation of sound absorption coefficients with field measurements," J. Acous. Soc. Am. 11, 45 (1939)
  112. M. J. O. Strutt, "On the acoustics of large rooms," Phil. Mag. 8, 236-250 (1929)
  113. M. J. O. Strutt, "Acoustics of large halls," Zeits. f. angew. Math. u. Mech. 10, 360-368 (1930)
  114. H. O. Taylor, "A direct method of finding the value of materials as sound absorbers," Phys. Rev. 2, 270 (1913)
  115. H. O. Taylor and C. W. Sherwin, "Sound absorption and attenuation by the flue method," J. Acous. Soc. Am. 9, 331-335 (1938)
  116. J. E. Volkmann, "Polycylindrical diffusers in room acoustical design," J. Acous. Soc. Am. 13, 234 (1942)
  117. F. R. Watson, Acoustics of Buildings (John Wiley & Sons, Inc., New York, 1941)
  118. F. R. Watson, "Acoustics of auditorium; optimum time of reverberation," Arch. 55, 251 (1927)
  119. R. B. Watson, "The modulations on sound decay curves," J. Acous. Soc. Am. 13, 82A (1941)
  120. E. C. Wente and E. H. Bedell, "The measurement of acoustic impedance and the absorption coefficient of porous materials," Bell Sys. Tech. J. 7, 1-10 (1928)
  121. E. C. Wente and E. H. Bedell, "Chronographic method of measuring reverberation time," J. Acous. Soc. Am. 1, 422 (1930)
  122. E. C. Wente, E. H. Bedell, and K. D. Swartzel, "High speed level recorder for acoustic measurements," J. Acous. Soc. Am. 6, 121 (1935) Bedell and Swartzel, 6, 130 (1935)
  123. E. C. Wente, "Acoustical instruments," J. Acous. Soc. Am. 7, (1935)
  124. E. C. Wente, "Characteristics of sound transmission in rooms," J. Acous. Soc. Am. 7, 123 (1935)
  125. H. Weyl, "Das asymptotische Verteilungsgesetz der Eigenwerte linearer partieller Differential-gleichungen," Math. Ann. 71, 441 (1911)
  126. F. J. Willig, "Comparison of sound absorption coefficients obtained experimentally by different methods," J. Acous. Soc. Am. 10, 293 (1939)
  127. E. Wintergerst, "Theorie der Schalldurchlässigkeit von einfachen und zusammengesetzten Wänden," Schalltechnik. 4, 85 (1931)

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