A theoretical approach to room acoustic simulations based on a radiative transfer model

Acta Acustica united with Acustica

Volumn 96, Issue 6, 2010, Pages 1078-1089

  Navarro, Juan M ^a,b   Jacobse, Finn ^b   JacobseEscolano, José ^c   López, José J ^d  

^a CATHOLIC UNIVERSITY OF MURCIA   (Spain)

^b TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

^c UNIVERSITY OF JAÉN   (Spain)

^d UNIVERSITAT POLITÈCNICA DE VALÈNCIA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL APPROXIMATION; DIFFUSE REFLECTION; DIFFUSION EQUATIONS; RADIATIVE TRANSFER MODEL; RADIATIVE TRANSFER THEORY; RENDERING EQUATION; ROOM ACOUSTIC MODELING; ROOM ACOUSTIC SIMULATIONS; ROOM ACOUSTICS; THEORETICAL APPROACH;

ACOUSTIC FIELDS; ARCHITECTURAL ACOUSTICS; RADIATIVE TRANSFER;

COMPUTER SIMULATION;

EID: 78649627132     PISSN: 16101928     EISSN: None     Source Type: Journal    
DOI: 10.3813/AAA.918369     Document Type: Article

References (47)

1. S. Chandrasekar: Radiative transfer. Dover Publications, New York, 1960.
2. P. Moon: The scientific basis of illuminating engineering. McGraw Hill, New York, 1936.
3. R. Siegel, J. R. Howell: Thermal radiation heat transfer. 2nd edition. Hemisphere Publishing Corp., New York, 1981.
4. C. C. Borel, S. A. W. Gerstl, B. J. Powers: The radiosity method in optical remote sensing of structured 3-d surfaces. Remote Sensing of the Environment 36 (1991) 13-44.
5. L. B. Wolf: Diffuse reflection. Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition 23 (1992) 472-478.
6. C. M. Goral, K. E. Torrance, D. P. Greenberg, B. Battaile: Modeling the interaction of light between diffuse surfaces. Computer Graphics 18 (1984) 213-222.
7. R. W. Preisendorfer: Radiative transfer on discrete spaces. Pergamon Press, New York, 1965.
8. J. Picaut, L. Simon, J.-D. Polack: A mathematical model of diffuse sound field based on a diffusion equation. Acustica united with Acta Acustica 83 (1997) 614-621.
9. S. Siltanen, T. Lokki, S. Kiminki, L. Savioja: The room acoustic rendering equation. J. Acoust. Soc. Am. 122 (2007) 1624-1635.
10. J. B. Allen, D. A. Berkley: Image method for efficiently simulating small-room acoustics. J. Acoust. Soc. Am. 65 (1979) 943-950.
11. A. Krokstad, S. Strom, S. Sorsdal: Calculating the acoustical room response by the use of a ray tracing technique. J. Sound Vib. 8 (1968) 118-125.
12. T. Funkhouser, N. Tsingos, I. Carlbom, G. Elko, M. Sondhi, J. West, G. Pingali, P. Min, A. Ngan: A beam tracking method for interactive architectural acoustics. J. Acoust. Soc. Am. 115 (2004) 739-756.
13. E.-M. Nosal, M. Hodgson, I. Ashdown: Improved algorithms and methods for room sound-field prediction by acoustical radiosity in arbitrary polyhedral rooms. J. Acoust. Soc. Am. 116 (2004) 970-980.
14. L. V. Wang, H. Wu: Biomedical optics: Principles and imaging. Wiley-Interscience, New York, 2007.
15. A. Ishimaru: Wave propagation and scattering in random media. Academic Press, New York, 1978.
16. R. C. Haskell, L. O. Svaasand, T. Tsay, T. Feng, M. S. McAdams, B. J. Tromberg: Boundary conditions for the diffusion equation in radiative transfer. J. Opt. Soc. Am. A 11 (1994) 2727-2741.
17. L. Savioja, J. Huopaniemi, T. Lokki, R. Väänänen: Creating interactive virtual acoustic environments. J. Audio Eng. Soc. 47 (1999) 675-705.
18. W. B. Joyce: Classical-particle description of photons and phonons. Physical Review D 9 (1974) 3234-3256.
19. H. Kuttruff: Room acoustics. 4th edition. Taylor and Francis, 2000.
20. H. E. Bass, H.-J. Bauer, L. B. Evans: Atmospheric absorption of sound: Analytical expressions. J. Acoust. Soc. Am. 52 (1972) 821-825.
21. D. Alarcáo, J. L. Bento: A general model for the propagation of sound energy inside enclosures. Proc. 12th International Congress on Sound and Vibration (ICSV12), Lisbon, 11-14 July 2005.
22. V. Valeau, J. Picaut, M. Hodgson: On the use of a diffusion equation for room-acoustic prediction. J. Acoust. Soc. Am. 119 (2006) 1504-1513.
23. F. Ollendorff: Statistical room-acoustics as a problem of diffusion: A proposal. Acustica 21 (1969) 236-245.
24. J. Picaut, L. Simon, J.-D. Polack: Sound field in long rooms with diffusely reflecting boundaries. Appl. Acoust. 56 (1999) 217-240.
25. V. Valeau, M. Hodgson, J. Picaut: A diffusion-based analogy for the prediction of sound fields in fitted rooms. Acta Acustica united with Acustica 93 (2007) 94-105.
26. V. Valeau, J. Picaut, A. Sakout, A. Billon: Simulation of the acoustics of coupled rooms by numerical resolution of a diffusion equation. Proc. 18th International Congress on Acoustics, Kyoto, Japan, 2004.
27. A. Billon, V. Valeau, A. Sakout, J. Picaut: On the use of a diffusion model for acoustically coupled rooms. J. Acoust. Soc. Am. 120 (2006) 2043-2054.
28. N. Xiang, Y. Jing, A. Bockman: Investigation of acoustically coupled enclosures using a diffusion-equation model. J. Acoust. Soc. Am. 126 (2009) 1187-1198.
29. J. Picaut, L. Simon, J. Hardy: Sound field modeling in streets with a diffusion equation. J. Acoust. Soc. Am. 106 (1999) 2638-2645.
30. T. L. Pollès, J. Picaut, M. Berengier, C. Bardos: Sound field modeling in a street canyon with partially diffusely reflecting boundaries by the transport theory. J. Acoust. Soc. Am. 116 (2004) 2969-2983.
31. P. M. Morse, H. Feshbach: Methods of theoretical physics. McGraw-Hill, New York, 1953.
32. A. D. Pierce: Acoustics: An introduction to its physical principles and applications. Acoustical Society of America, New York, 1989.
33. C. W. Kosten: The mean free path in room acoustics. Acustica 10 (1960) 245-250.
34. A. Billon, J. Picaut, C. Foy, V. Valeau, A. Sakout: Introducing atmospheric attenuation within a diffusion model for room-acoustic predictions. J. Acoust. Soc. Am. 123 (2008) 4040-4043.
35. Y. Jing, N. Xiang: On boundary conditions for the diffusion equation in room acoustic prediction: Theory, simulations, and experiments. J. Acoust. Soc. Am. 123 (2008) 145-153.
36. Y. Jing, N. Xiang: A modified diffusion equation for roomacoustic predication. J. Acoust. Soc. Am. 121 (2007) 3284-3287.
37. A. Billon, J. Picaut, A. Sakout: Prediction of the reverberation time in high absorbent room using a modified-diffusion model. Appl. Acoust. 69 (2008) 68-74.
38. C. Foy, V. Valeau, A. Billon, J. Picaut, A. Sakout: An empirical diffusion model for acoustic prediction in rooms with mixed diffuse and specular reflections. Acta Acustica united with Acustica 95 (2009) 97-105.
39. W. M. Rohsenow, J. P. Hartnett, Y. I. Cho: Handbook of heat transfer. McGraw-Hill, New York, 1998.
40. E. G. Williams: Fourier acoustics: Sound radiation and nearfield acoustical holography. Academic Press, San Diego, 1999.
41. J. T. Kajiya: The rendering equation. Computer Graphics 20 (1986) 143-150.
42. S. A. W. Gerstl, C. C. Borel: Principles of the radiosity method versus radiative transfer for canopy reflectance modeling. IEEE transactions on geoscience and remote sensing 30 (1992) 271-275.
43. H. Kuttruff: Energetic sound propagation in rooms. Acustica united with Acta Acustica 83 (1997) 622-628.
44. M. R. Schroeder, H. Kuttruff: On frequency response curves in rooms. J. Acoust. Soc. Am. 34 (1962) 76-80.
45. U. J. Kurze: Scattering of sound in industrial spaces. Journal of Sound and Vibration 98 (1985) 349-364.
46. S. Siltanen, T. Lokki, L. Savioja: Acoustic radiance transfer method. Proc. 19th International Congress on Acoustics, Madrid, Spain, 2007.
47. S. Siltanen, T. Lokki: Diffraction modeling in acoustic radiance transfer method. Proc. Acoustic'08, Paris, France, 2008.