Raytracing Method

2D Raytracing Method

   In this study, a two-dimensional ray tracing algorithm developed by professor Jonas Braasch at RPI has been implemented for binaural and Wavefield Synthesis auralization. To study the acoustical properties of muqarnas,  two rooms with exactly similar properties have been modeled and analyzed. The only difference between the two models is that one contains the element under study, and the other one does not. The modeled space is a simple 6x10 meter box with 4-meter height.  The goal was to have only one variable in the acoustical environment while other parameters are constant and study the impact of the introduced geometry. The ray-tracing algorithm was performed on one vertical and one horizontal section through the room. Treflection patterns for both conditions were generated. 

Defined parameters are as follows: 

Sampling Frequency: 48000 Hz

Speed of Sound: 343 m/s

Omnidirectional Source Position: [6 3]

Receiver Position: [7 3]

Ray Order: 30

Catcher Size: 1 meter

Volume (with muqarnas) : 250.2 m^3

Volume (without muqarnas): 255.8 m^3

Wall & Ceiling Material:  Ceramic Tile with Smooth Surface

Floor Material: Carpet

No. of Audience: 1 person

 

05.jpg
hor_sec_wOMuq_4m_Section_Raytracing.png

Horizontal Section - without muqarnas

f [Hz]: 0    125  250  500   1000  2000  4000  6300  22050
RT [s]: 1.55 2.18 1.43 1.42 0.782 0.612 0.832 0.951 0.951
rc [m]: 0.741 0.624 0.77 0.773 1.04 1.18 1.01 0.945 0.945
level [dB]: 2.6 4.09 2.27 2.24 -0.357 -1.43 -0.0916 0.491 0.491

06.jpg
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hor_sec_wMuq_4m_Raytracing_all.png

Horizontal Section - with muqarnas

f [Hz]: 0    125  250  500   1000  2000  4000  6300  22050
RT [s]: 1.77 2.48 1.61 1.48 0.795 0.62 0.832 0.958 0.958
rc [m]: 0.692 0.585 0.727 0.757 1.03 1.17 1.01 0.942 0.942
level [dB]: 3.2 4.65 2.77 2.41 -0.286 -1.37 -0.0916 0.52 0.52

07.jpg
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ver_sec_wOMuq_4m_Section_Raytracing.jpg

Vertical Section - without muqarnas

f [Hz]: 0    125  250  500   1000  2000  4000  6300  22050
RT [s]: 1.9 2.64 1.7 1.51 0.801 0.623 0.832 0.96 0.96
rc [m]: 0.668 0.567 0.706 0.75 1.03 1.17 1.01 0.941 0.941
level [dB]: 3.5 4.93 3.02 2.5 -0.254 -1.35 -0.0916 0.533 0.533

03.jpg
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ver_sec_wMuq_4m_Section_Raytracing.png

Vertical Section - with muqarnas

f [Hz]: 0    125  250  500   1000  2000  4000  6300  22050
RT [s]: 2.1 2.9 1.85 1.55 0.81 0.628 0.832 0.964 0.964
rc [m]: 0.636 0.541 0.678 0.741 1.02 1.16 1.01 0.939 0.939
level [dB]: 3.94 5.34 3.38 2.61 -0.209 -1.31 -0.0916 0.55 0.55

02.jpg
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