An energetic approach for the simulation of diffraction within ray tracing based on the uncertainty relation

Acta Acustica united with Acustica

Volumn 96, Issue 3, 2010, Pages 516-535

  Stephenson, Uwe M ^a  

^a HAFENCITY UNIVERSITY HAMBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BEAM TRACING; COMPUTING TIME; DIFFRACTION ANGLE; DIFFRACTION EFFECTS; DIFFRACTION MODELS; EDGE DIFFRACTION; ENERGETIC APPROACH; ENERGETIC METHOD; ENERGETIC MODEL; FAR FIELD; FINITE SOURCES; HIGHER-ORDER DIFFRACTION; INCOHERENT SUPERPOSITION; NOISE IMMISSIONS; OPTICAL RAY TRACING; PRACTICAL PROBLEMS; RAY-TRACING METHOD; RECIPROCITY PRINCIPLE; ROOM ACOUSTICS; SOUND PARTICLES; SOURCE MODELS; THEORETICAL RESULT; UNCERTAINTY RELATION;

ARCHITECTURAL ACOUSTICS; ELEMENTARY PARTICLE SOURCES; NUMERICAL METHODS;

RAY TRACING;

EID: 77953051674     PISSN: 16101928     EISSN: None     Source Type: Journal    
DOI: 10.3813/AAA.918304     Document Type: Article

References (47)

1. A. Krokstad, S. Strom, S. Sorsdahl: Calculating the acoustical room response by the use of the ray tracing technique. J. Sound Vib. 8 (1968) 118.
2. U. Stephenson: Eine Schallteilchen-Computer-Simulation zur Berechnung der für die Hörsamkeit in Konzertsälen maßgebenden Parameter. Acustica 59 (1985) 1-20.
3. U. Stephenson, F. P. Mechel: Wie werden Schallteilchen gebeugt? Proc. DAGA 1986, Oldenburg, DPG-Verlag, Bad Honnef, 1986, 605-608.
4. Z. Maekawa: Noise reduction by screens. Appl. Acoust. 1 (1968).
5. VDI 2720, Blatt 1: Schallschutz durch Abschirmung im Freien. VDI, Düsseldorf.
6. U. J. Kurze, G. S. Anderson: Sound attenuation by barriers. Appl. Acoust. 4 (1971) 35-51.
7. U. J. Kurze: Noise reduction by barriers. J. Acoust. Soc. Am. 55 (1974) 504.
8. J. B. Keller: Geometrical theory of diffraction. Journal of the Optical Society of America 52 (1962) 116-130.
9. A. D. Pierce: Diffraction of sound around corners and over wide barriers. J. Acoust. Soc. Am. 55 (1974).
10. R. G. Kouyoumjian, P. . Pathak: A uniform geometrical theory of diffraction for an edge in a perfectly conduction surface. Proc. IEEE 62 (1974) 1448-1461.
11. U. P. Svensson, R. I. Fred, J. Vanderkooy: An analytic secondary source model of edge diffraction impulse responses. J. Acoust. Soc. Am. 106 (1999) 2331-2344.
12. M. Biot, I. Tolstoy: Formulation of wave propagation in infinite media by normal coordinates with an application to diffraction. J. Acoust. Soc. Am. 29 (1957) 381-391.
13. H. Medwin, E. Childs, G. Jebsen: Impulse studies of double diffraction: A discrete Huygens interpretation. J. Acoust. Soc. Am. 72 (1982) 1005-1013.
14. U. P. Svensson, P. T. Calamia, S. Nakanishi: Frequencydomain edge diffraction for finite and infinite edges. Acustica united with Acta Acustica 95 (2009) 568-572.
15. H. Kuttruff: A simple iteration scheme for the computation of decay constants in enclosures with diffusely reflecting bondaries. J. Acoust.Soc. Am. 98 (1995) 288-293.
16. T. Lewers: A combined beam tracing and radiant exchange computer model of room acoustics. Appl. Acoust. 38 (1993) 2-4, 161-178.
17. U. Stephenson: Quantized pyramidal beam tracing - a new algorithm for room acoustics and noise immission prognosis. Acustica united with Acta Acustica 82 (1996) 517-525.
18. J. Borish: Extension of the image model to arbitrary polyhedra. J. Acoust. Soc. Am. 75 (1984) 1827-1836.
19. U. M. Stephenson: Comparison of the mirror image source method and the sound particle simulation method. Applied Acoustics 29 (1990) 35-72.
20. D. Chu, T. Stanton, A. Pierce: Higher-order acoustic diffraction by edges of finite thickness. J. Acoust. Soc. Am. 122 (2007) 3177-3194.
21. E. Walerian: Multiple diffraction at edges and right angle wedges. Acustica 78 (1993) 201-209.
22. E. Walerian, R. Janczur: Acoustical field in space with obstacles. Part I: Description of the geometrical field. Acustica 78 (1993) 154-162.
23. E. Walerian, R. Janczur: Acoustical field in space with obstacles. Part II: Propagation between buildings. Acustica 78 (1993) 210-219.
24. A. Jaroch, J. Jurkiewicz, B. Rudno-Rudzinska: A geometrical analysis of reflected-diffracted sound rays in three dimensional space. Proc. Internoise '90, Gothenburg, Schweden, 1990, 239-242.
25. Y. Gabillet, M. Rosen: A simple algorithm to determine acoustics path between a receiver and complex noise sources. Proc. Internoise, Avignon, 1988, 1631-1634.
26. J. E. Summers: Reverberant acoustic energy in auditoria that comprise systems of coupled rooms. Ph.D. thesis, Rensselaer Polytechnic Institute, Troy, NY, USA, 2003.
27. V. Pulkki, T. Lokki, L. Savioja: Implementation and visualization of edge diffraction with image-source method. Proc. of the 112th Audio Engineering Society (AES) Convention, Munich, Germany, May 2002, Paper #5603.
28. T. Lokki, P. Svensson, L. Savioja: An efficient auralization of edge diffraction. Proc. of 21st International Conference of the Audio Engineering Society (AES), St. Petersburg, Russia, 2002.
29. G. Benedetto, R. Spagnolo: A study of barriers in enclosures by a ray tracing computer model. Appl. Acoustics 17 (1984) 183-199.
30. S. M. Dance, B. M. Shield: Modelling of sound fields in enclosed spaces with absorbent room surfaces. Part III: Barriers. Appl. Acoustics 61 (2000) 385-397.
31. H. Min, X. Qiu: Multiple acoustic diffraction around rigid parallel wide barriers. J. Acoust. Soc. Am. 126 (2009) 179-186.
32. H. Lee, B.-H.: An efficient algorithm for the image model technique. Applied Acoustics 24 (1988) 87-115.
33. A. Farina: RAMSETE - a new pyramid tracer for medium and large scale acoustic problems. Proc. Euronoise '95, Lyon; publ. by CETIM, Senlis, France, 1995, 55-60.
34. A. Farina: Validation of the pyramid tracing algorithm for sound propagation outdoors: Comparison with experimental measurements and with the ISO-DIS 9613 standards. Advances in Engineering Software 31 (2000) 241-250.
35. S. Laine, S. Siltanen, T. Lokki, L. Savioja: Accelerated beam tracing algorithm. Applied Acoustics 70 (2009) 172-181.
36. T. Funkhouser, I. Carlbon, G. Elko, G. Pingali, M. Sondhi, J. West: A beam tracing approach to acoustic modeling for interactive virtual environments. Proc. Computer Graphics, SIGGRAPH '98 Annual Conference Series, 1998, 21-32.
37. N. Tsingos, T. Funkhouser, A. Ngan, I. Carlbom: Modeling acoustics in virtual environments using the uniform theory of diffraction. Proc. ACM Computer Graphics, Siggraph, 2001.
38. L. I. Schiff: Quantum mechanics. 3rd ed. McGraw-Hill, New-York, 1968.
39. F. W. Sears, M. W. Zemansky, H. D. Young: University physics. 5th ed. Addison-Wesley, 1976.
40. R. Heinisch, T. Chou: Numerical experiments in modeling diffraction phenomena. Appl. Optics 10 (1971) 2248-2251.
41. E. R. Freniere, G. G. Gregory, R. A. Hassler: Edge diffraction in Monte Carlo ray tracing in optical design and analysis software. Proc. SPIE, vol.3780, Denver, 1999.
42. U. M. Stephenson, U. P. Svensson: An improved energetic approach to diffraction based on the uncertainty principle. Proc. ICA, International Congress on Acoustics, Madrid, 2007.
43. U. M. Stephenson: Can also diffracted sound be handled as flow of particles? Some new results of a beam tracing approach based on the uncertainty principle. Proc. Acoustics '08, joint SFA, EAA and ASA conference, Paris, 2008, 5633-5638.
44. U. M. Stephenson: Introducing diffraction into beam tracing. Some new results. Proc. of NAG /DAGA, International conference on Acoustics, Rotterdam, 2009.
45. U. M. Stephenson: Computation of sound propagation from power plants with the help of the sound particle method. VGB-Kraftwerkstechnik (english issue) 1 (1992) Essen.
46. U. M. Stephenson: Beugungssimulation ohne Rechenzeitexplosion: Die Methode der quantisierten Pyramidenstrahlen - ein neues Berechnungsverfahren für Raumakustik und Lärmimmissionsprognose, (Simulation of diffraction without explosion of computation time: Quantized pyramidal beam tracing - a new computational method for room acoustics and noise immission prognosis). Thesis presented to the Faculty of Electrical Engineering and Information Technology of the RWTH Aachen University, published by www.shaker.de, Aachen (in German), 2004.
47. U. Stephenson: An analytically derived sound particle diffraction model. Acustica united with Acta Acustica 96 (2010).