Combination of acoustical radiosity and the image source method.

A combined model for room acoustic predictions is developed, aiming to treat both diffuse and specular reflections in a unified way. Two established methods are incorporated: acoustical radiosity, accounting for the diffuse part, and the image source method, accounting for the specular part. The model is based on conservation of acoustical energy. Losses are taken into account by the energy absorption coefficient, and the diffuse reflections are controlled via the scattering coefficient, which defines the portion of energy that has been diffusely reflected. The way the model is formulated allows for a dynamic control of the image source production, so that no fixed maximum reflection order is required. The model is optimized for energy impulse response predictions in arbitrary polyhedral rooms. The predictions are validated by comparison with published measured data for a real music studio hall. The proposed model turns out to be promising for acoustic predictions providing a high level of detail and accuracy.

[1]  Erling Nilsson,et al.  Decay Processes in Rooms with Non-Diffuse Sound Fields Part I: Ceiling Treatment with Absorbing Material , 2004 .

[2]  Thomas Funkhouser,et al.  A beam tracing method for interactive architectural acoustics. , 2004, The Journal of the Acoustical Society of America.

[3]  E. Hahne,et al.  Shapefactor-equations for radiation heat transfer between plane rectangular surfaces of arbitrary position and size with parallel boundaries , 1981 .

[4]  Cheol-Ho Jeong,et al.  Development of a pressure based room acoustic model using impedance descriptions of surfaces , 2013 .

[5]  F. Mechel IMPROVED MIRROR SOURCE METHOD IN ROOMACOUSTICS , 2002 .

[6]  Heinrich Kuttruff,et al.  Room Acoustics, 5th Editio , 2010 .

[7]  Neil Christie Baines An investigation of the factors which control non-diffuse sound fields in rooms , 1983 .

[8]  Jont B. Allen,et al.  Image method for efficiently simulating small‐room acoustics , 1976 .

[9]  Paolo Rissone,et al.  Adaptive pyramid tracing: a new technique for room acoustics , 2000 .

[10]  Ronald N. Miles,et al.  Sound field in a rectangular enclosure with diffusely reflecting boundaries , 1984 .

[11]  Bengt-Inge Dalenbäck Room acoustic prediction based on a unified treatment of diffuse and specular reflection , 1996 .

[12]  A. Krokstad,et al.  Calculating the acoustical room response by the use of a ray tracing technique , 1968 .

[13]  Heewon Lee,et al.  An efficient algorithm for the image model technique , 1988 .

[14]  Takeshi Komatsu,et al.  Improvement of the Delany-Bazley and Miki models for fibrous sound-absorbing materials , 2008 .

[15]  Erling Nilsson Decay Processes in Rooms with Non-Diffuse Sound Fields. Part II: Effect of Irregularities , 2004 .

[16]  Murray Hodgson,et al.  Improved algorithms and methods for room sound-field prediction by acoustical radiosity in arbitrary polyhedral rooms. , 2004, The Journal of the Acoustical Society of America.

[17]  Tapio Lokki,et al.  The room acoustic rendering equation. , 2007, The Journal of the Acoustical Society of America.

[18]  M. Schroeder New Method of Measuring Reverberation Time , 1965 .

[19]  T. Lewers,et al.  A combined beam tracing and radiatn exchange computer model of room acoustics , 1993 .

[20]  J. Borish Extension of the image model to arbitrary polyhedra , 1984 .

[21]  M. Vorländer Simulation of the transient and steady‐state sound propagation in rooms using a new combined ray‐tracing/image‐source algorithm , 1989 .

[22]  M. Schroeder,et al.  On Frequency Response Curves in Rooms. Comparison of Experimental, Theoretical, and Monte Carlo Results for the Average Frequency Spacing between Maxima , 1962 .