Investigations on sound energy decays and flows in a monumental mosque.

This work investigates the sound energy decays and flows in the Süleymaniye Mosque in İstanbul. This is a single-space superstructure having multiple domes. The study searches for the non-exponential sound energy decay characteristics. The effect of different material surfaces and volumetric contributions are investigated using acoustic simulations and in situ acoustical measurements. Sound energy decay rates are estimated by Bayesian decay analysis. The measured data reveal double- or triple-slope energy decay profiles within the superstructure. To shed light on the mechanism of energy exchanges resulting in multi-slope decay, spatial sound energy distributions and energy flow vectors are studied by diffusion equation model (DEM) simulations. The resulting sound energy flow vector maps highlight the contribution of a sound-reflective central dome contrasted with an absorptive carpeted floor in providing delayed energy feedback. In contrast, no multi-slope energy decay pattern is observed in DEM simulations with a bare marble floor, which generates a much more diffuse sound field than in the real situation with a carpeted floor. The results demonstrate that energy fragmentation, in support of the non-exponential energy decay profile, is due to both the sound absorption characteristics of materials and to their distributions, as well as to relations between the subvolumes of the mosque's interior.

[1]  Ning Xiang,et al.  Bayesian characterization of multiple-slope sound energy decays in coupled-volume systems. , 2011, The Journal of the Acoustical Society of America.

[2]  Mendel Kleiner,et al.  Worship Space Acoustics , 2010 .

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

[4]  Zühre Sü,et al.  The Acoustical Characteristics of the Kocatepe Mosque in Ankara, Turkey , 2008 .

[5]  Ning Xiang,et al.  Investigation of acoustically coupled enclosures using a diffusion-equation model. , 2009, The Journal of the Acoustical Society of America.

[6]  M. Ismail,et al.  Sounds from the Past the Acoustics of Sultan Hassan Mosque and Madrasa , 2007 .

[7]  M. K. Abdelazeez,et al.  Acoustics of King Abdullah Mosque , 1991 .

[8]  J. Summers,et al.  Statistical-acoustics models of energy decay in systems of coupled rooms and their relation to geometrical acoustics. , 2004, The Journal of the Acoustical Society of America.

[9]  Philip Robinson,et al.  Comment on "Optimum absorption and aperture parameters for realistic coupled volume spaces determined from computational analysis and subjective testing results" [J. Acoust. Soc. Am. 127, 223-232 (2010)]. , 2010, The Journal of the Acoustical Society of America.

[10]  Gino G. Sacerdote,et al.  Measurements of the Acoustical Properties of Two Roman Basilicas , 1953 .

[11]  J. Summers,et al.  Adapting a randomized beam-axis-tracing algorithm to modeling of coupled rooms via late-part ray tracing , 2005 .

[12]  Ning Xiang,et al.  A modified diffusion equation for room-acoustic predication. , 2007, The Journal of the Acoustical Society of America.

[13]  Anas Sakout,et al.  On the use of a diffusion model for acoustically coupled rooms , 2006 .

[14]  Jean-Dominique Polack,et al.  Sound energy decay in coupled spaces using a parametric analytical solution of a diffusion equation. , 2014, The Journal of the Acoustical Society of America.

[15]  Zühre Sü Gül,et al.  Impact of design decisions on acoustical comfort parameters: Case study of Doğramacızade Ali Paşa Mosque , 2013 .

[16]  Ning Xiang,et al.  Investigation on the effect of aperture sizes and receiver positions in coupled rooms. , 2013, The Journal of the Acoustical Society of America.

[17]  R. Pompoli COMPARING THE ACOUSTICS OF MOSQUES AND BYZANTINE CHURCHES , 2003 .

[18]  Adel A Abdou Measurement of acoustical characteristics of mosques in Saudi Arabia. , 2003, The Journal of the Acoustical Society of America.

[19]  Maximo Cobos,et al.  A Bayesian direction-of-arrival model for an undetermined number of sources using a two-microphone array. , 2014, The Journal of the Acoustical Society of America.

[20]  C. Harris,et al.  The Acoustics of Coupled Rooms , 1946 .

[21]  M. Meissner Computational studies of steady-state sound field and reverberant sound decay in a system of two coupled rooms , 2007 .

[22]  José Escolano,et al.  On the limitation of a diffusion equation model for acoustic predictions of rooms with homogeneous dimensions. , 2010, The Journal of the Acoustical Society of America.

[23]  Nicola Prodi,et al.  A numerical investigation of the Fick's law of diffusion in room acoustics. , 2012, The Journal of the Acoustical Society of America.

[24]  Cülru Necipoğlu-Kafadar THE SÜLEYMANIYE COMPLEX IN ISTANBUL: AN INTERPRETATION , 1985 .

[25]  J. S. Anderson,et al.  Acoustic coupling effects in St Paul's cathedral, London , 2000 .

[26]  Ning Xiang,et al.  On boundary conditions for the diffusion equation in room-acoustic prediction: Theory, simulations, and experiments. , 2008, The Journal of the Acoustical Society of America.

[27]  Gerrit Vermeir,et al.  Absorbing surfaces in ray-tracing programs for coupled spaces , 2002 .

[28]  Murray Hodgson,et al.  On the use of a diffusion equation for room-acoustic prediction , 2006 .

[29]  J. Christopher Jaffe,et al.  The Acoustics of Performance Halls: Spaces for Music from Carnegie Hall to the Hollywood Bowl , 2010 .

[30]  C. F. Eyring REVERBERATION TIME MEASUREMENTS IN COUPLED ROOMS , 1931 .

[31]  Serpil Çelik,et al.  OTTOMAN STONE ACQUISITION IN THE MID-SIXTEENTH CENTURY: THE SÜLEYMANİYE COMPLEX IN ISTANBUL , 2006 .

[32]  Nicola Prodi,et al.  On the Effect of Domed Ceiling in Worship Spaces: A Scale Model Study of a Mosque , 2003 .

[33]  Francesco Martellotta Identifying acoustical coupling by measurements and prediction-models for St. Peter's Basilica in Rome. , 2009, The Journal of the Acoustical Society of America.

[34]  Hamed A Hamadah,et al.  Assessment of speech intelligibility in large auditoria case study: kuwait state mosque , 1998 .

[36]  Anas Sakout,et al.  Prediction of the reverberation time in high absorbent room using a modified-diffusion model , 2008 .

[37]  N. Xiang,et al.  Evaluation of decay times in coupled spaces: Bayesian parameter estimation. , 2001, The Journal of the Acoustical Society of America.