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Analysis of the Vibrational Process Inside an Acoustic Interference Array Using the Reverberation Matrix Method

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Abstract

The theoretical study of sound field formation in an acoustic interference array presented in this article is motivated by an analysis of the physical principle of operation of a highly directional interference microphone. One of the objectives of the study is to determine the sound pressure acting on the microphone membrane inside the array. The sound field inside the interference array is analyzed using a matrix method, similar to the reverberation matrix method. The solution is formally represented as a Schwarzschild series. The result calculated by this method agrees well with the experimental data.

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ACKNOWLEDGMENTS

The author thanks Associate Professor of the Department of Acoustics, Faculty of Physics, Moscow State University, Doctor of Physical and Mathematical Sciences Andrey Vladimirovich Shanin for his interest in the study and scientific advice.

Funding

This study supported by the budget of the Prokhorov General Physics Institute, Russian Academy of Sciences. No additional grants were received to conduct or direct this specific study.

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Authors and Affiliations

  1. Prokhorov General Physics Institute, Russian Academy of Sciences, 119991, Moscow, Russia

    A. O. Subbotkin

  2. Research Institute of Building Physics, Russian Academy of Architectural and Civil Engineering Sciences, 127238, Moscow, Russia

    A. O. Subbotkin

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Subbotkin, A.O. Analysis of the Vibrational Process Inside an Acoustic Interference Array Using the Reverberation Matrix Method. Acoust. Phys. 70, 194–207 (2024). https://doi.org/10.1134/S1063771022600632

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