Vector intensity reconstructions in a volume surrounding a rigid spherical microphone array

The Journal of the Acoustical Society of America
E G Williams, Kazuhiro Takashima

Abstract

A technique is described to image the vector intensity in the near field of a spherical array of microphones flush mounted in a rigid sphere. The spatially measured pressure is decomposed into Fourier harmonics in order to reconstruct the volumetric vector intensity outside the sphere. The theory for this reconstruction is developed in this paper. The resulting intensity images are very successful at locating and quantifying unknown exterior acoustic sources, ideal for application in noise control problems in interior spaces such as automobiles and airplanes. Arrays of varying numbers of microphones and radii are considered and compared and errors are computed for both theory and experiment. It is demonstrated that this is an ill-posed problem below a cutoff frequency depending on array design, requiring Tikhonov regularization below cutoff. There is no low frequency limit on operation, although the signal-to-noise ratio is the determining factor for high-spatial resolution at low frequencies. It is shown that the upper frequency limit is set by the number of microphones in the array and is independent of noise. The accuracy of the approach is assessed by considering the exact solution for the scattering of a point source by a ...Continue Reading

References

Oct 30, 2001·The Journal of the Acoustical Society of America·E G Williams

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Citations

Jun 21, 2011·The Journal of the Acoustical Society of America·Finn JacobsenJørgen Hald
Jul 19, 2013·The Journal of the Acoustical Society of America·Yacine BraikiaAlexandre Garcia
Apr 6, 2013·The Journal of the Acoustical Society of America·Christophe Langrenne, Alexandre Garcia
Mar 5, 2016·The Journal of the Acoustical Society of America·Efren Fernandez-Grande, Angeliki Xenaki
Apr 3, 2016·The Journal of the Acoustical Society of America·Efren Fernandez-Grande
Dec 3, 2015·The Journal of the Acoustical Society of America·Thomas Sondergaard, Morten Wille
May 3, 2019·The Journal of the Acoustical Society of America·Stefanie BrownDavid Taubman
Oct 2, 2017·The Journal of the Acoustical Society of America·Falk-Martin HoffmannSimone Fontana
Feb 3, 2020·The Journal of the Acoustical Society of America·Shijia YinYanli Liu
Jul 3, 2020·The Journal of the Acoustical Society of America·Guoli PingZhigang Chu
Sep 3, 2020·The Journal of the Acoustical Society of America·Mélanie NolanEfren Fernandez-Grande
Dec 5, 2016·The Journal of the Acoustical Society of America·Shang XiangJianzheng Gao
Jun 18, 2017·The Journal of the Acoustical Society of America·Antoine RichardCheol-Ho Jeong
Nov 3, 2017·The Journal of the Acoustical Society of America·Yan Wang, Kean Chen
May 3, 2018·The Journal of the Acoustical Society of America·Mélanie NolanCheol-Ho Jeong
Jun 4, 2020·The Journal of the Acoustical Society of America·Haijun WuWeikang Jiang
May 10, 2019·The Journal of the Acoustical Society of America·Mélanie Nolan, Efren Fernandez-Grande

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