Theory and Design of Audio Rooms: Physical Formulation


Authors : Dr. Ismail Abbas

Volume/Issue : Volume 9 - 2024, Issue 8 - August


Google Scholar : https://shorturl.at/NadU6

Scribd : https://shorturl.at/0jNG6

DOI : https://doi.org/10.38124/ijisrt/IJISRT24AUG547

Note : A published paper may take 4-5 working days from the publication date to appear in PlumX Metrics, Semantic Scholar, and ResearchGate.


Abstract : The time-dependent statistical chains of transition matrix B are successfully used to calculate the reverberation time TR and sound energy density field in audio rooms. This is a real breakthrough in the search for a statistical derivation of Sabines' imperial theory which has never been rigorously proven since 1898. Additionally, we provide proper design and calculations of sound wave energy density in audio rooms via two cuboid room examples. We provide proper design and calculations of sound wave energy density in audio rooms via two cuboid room examples. We also propose some general statistical rules that can be applied to statistical problems of physical phenomena in general, such as the thermal diffusion equation and the theory of sound waves in audio rooms. We also give a description of the theory and design of what we call comfortable sound rooms based on the purpose of their use via well-defined measurables. Finally, we provide a consistent derivation of Sabines' theory without using Ls=4V/A or any other statistical assumptions.

References :

  1. I. Abbas, Theory and design of audio rooms-Reformulation of the Sabine formula, ResearchGate, IJISRT review, October 2021.
  2. Theory and design of audio rooms-Statistical view, ResearchGate, IJISRT review, July 2023.
  3. Revision of Sabine's reverberation theory following a different approach to Eyring's theory Toshiki Hanyu 1* Japan 21.
  4. I. Abbas What is missing in mathematics and theoretical physics, ResearchGate, IJISRT review, Mars 23.
  5. I. Abbas, Do probabilities and Statistics belong to Physics or Mathematics, Volume 8 - 2023, Issue 1 - January
  6. I.M. Abbas, A Numerical Statistical Solution to the Laplace and Poisson Partial Differential Equations, I.M. Abbas, IJISRT review,   Volume 5,Issue11, November – 2020.
  7. I.M. Abbas, IJISRT, Time Dependent Numerical Statistical Solution of the Partial Differential Heat Diffusion Equation, Volume, Issue ,January – 20213-
  8. I. Abbas How Nature Works in Four-Dimensional Space: The Untold Complex Story, ResearchGate, IJISRT review, May 2023
  9. I.M. Abbas, Theory and design of audio rooms - Physical vision, ResearchGate, July 2024.
  10. I.M. Abbas, A critical analysis of the propagation mechanisms of ionizing waves in the event of a breakdown, I Abbas, P Bayle, Journal of Physics D: Applied Physics13 (6),
  11. I.M. Abbas, IEEE.1996, Pseudo spark -discharge, Plasma ScienceTransactions24(3):1106 - 1119, DOI:10.1109/27

The time-dependent statistical chains of transition matrix B are successfully used to calculate the reverberation time TR and sound energy density field in audio rooms. This is a real breakthrough in the search for a statistical derivation of Sabines' imperial theory which has never been rigorously proven since 1898. Additionally, we provide proper design and calculations of sound wave energy density in audio rooms via two cuboid room examples. We provide proper design and calculations of sound wave energy density in audio rooms via two cuboid room examples. We also propose some general statistical rules that can be applied to statistical problems of physical phenomena in general, such as the thermal diffusion equation and the theory of sound waves in audio rooms. We also give a description of the theory and design of what we call comfortable sound rooms based on the purpose of their use via well-defined measurables. Finally, we provide a consistent derivation of Sabines' theory without using Ls=4V/A or any other statistical assumptions.

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