TY - JOUR
T1 - Directional reverberation time and the image source method for rectangular parallelepipedal rooms
AU - Bilbao, Stefan
AU - Alary, Benoit
N1 - Funding Information:
Thanks go to Lauri Savioja of the Department of Computer Science at Aalto University for many interesting discussions on this topic.
Publisher Copyright:
© 2024 Author(s).
PY - 2024/2/14
Y1 - 2024/2/14
N2 - The image source method is a commonly used geometrical acoustics simulation method in room and virtual acoustics. In particular, it has been used in the analysis of room reverberation under different choices of geometry and wall conditions. Under a simple rectangular parallelepipedal geometry, reverberation time is known to be dependent on the direction of arrival of reflections relative to the room axes. In this article, a closed-form expression for the directional energy decay and reverberation time is derived, valid in the late response, and may be used in the case of either angle-independent or angle-dependent reflection. The expression reduces to an easily evaluated formula in the case of an omnidirectional energy decay curve. Various numerical results are presented, including the validation of the closed-form expression against energy decay curves and late reverberation times drawn directly from the image source method.
AB - The image source method is a commonly used geometrical acoustics simulation method in room and virtual acoustics. In particular, it has been used in the analysis of room reverberation under different choices of geometry and wall conditions. Under a simple rectangular parallelepipedal geometry, reverberation time is known to be dependent on the direction of arrival of reflections relative to the room axes. In this article, a closed-form expression for the directional energy decay and reverberation time is derived, valid in the late response, and may be used in the case of either angle-independent or angle-dependent reflection. The expression reduces to an easily evaluated formula in the case of an omnidirectional energy decay curve. Various numerical results are presented, including the validation of the closed-form expression against energy decay curves and late reverberation times drawn directly from the image source method.
UR - https://pubs.aip.org/asa/jasa
UR - https://acousticalsociety.org/web-posting-guidelines/
U2 - 10.1121/10.0024975
DO - 10.1121/10.0024975
M3 - Article
SN - 0001-4966
VL - 155
SP - 1343
EP - 1352
JO - Journal of the Acoustical Society of America
JF - Journal of the Acoustical Society of America
IS - 2
ER -