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Title: An experimental comparison of various methods of nearfield acoustic holography

Abstract

An experimental comparison of four different methods of nearfield acoustic holography (NAH) is presented in this study for planar acoustic sources. The four NAH methods considered in this study are based on: (1) spatial Fourier transform, (2) equivalent sources model, (3) boundary element methods and (4) statistically optimized NAH. Two dimensional measurements were obtained at different distances in front of a tonal sound source and the NAH methods were used to reconstruct the sound field at the source surface. Reconstructed particle velocity and acoustic pressure fields presented in this study showed that the equivalent sources model based algorithm along with Tikhonov regularization provided the best localization of the sources. Reconstruction errors were found to be smaller for the equivalent sources model based algorithm and the statistically optimized NAH algorithm. Effect of hologram distance on the performance of various algorithms is discussed in detail. The study also compares the computational time required by each algorithm to complete the comparison. Four different regularization parameter choice methods were compared. The L-curve method provided more accurate reconstructions than the generalized cross validation and the Morozov discrepancy principle. Finally, the performance of fixed parameter regularization was comparable to that of the L-curve method.

Authors:
 [1];  [2];  [1]
  1. Argonne National Lab. (ANL), Lemont, IL (United States)
  2. Illinois Institute of Technology, Chicago, IL (United States); California State Univ., Long Beach, CA (United States)
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Energy Efficiency and Renewable Energy (EERE), Building Technologies Office (EE-5B)
OSTI Identifier:
1366517
Alternate Identifier(s):
OSTI ID: 1419526
Grant/Contract Number:
AC02-06CH11357; DOE-AC02-06CH11357
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of Sound and Vibration
Additional Journal Information:
Journal Volume: 403; Journal Issue: C; Journal ID: ISSN 0022-460X
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; GCV; L-curve; Morozov; nearfield acoustic holography; SONAH; Tikhonov; boundary element methods; equivalent sources model

Citation Formats

Chelliah, Kanthasamy, Raman, Ganesh, and Muehleisen, Ralph T. An experimental comparison of various methods of nearfield acoustic holography. United States: N. p., 2017. Web. doi:10.1016/j.jsv.2017.05.015.
Chelliah, Kanthasamy, Raman, Ganesh, & Muehleisen, Ralph T. An experimental comparison of various methods of nearfield acoustic holography. United States. doi:10.1016/j.jsv.2017.05.015.
Chelliah, Kanthasamy, Raman, Ganesh, and Muehleisen, Ralph T. Fri . "An experimental comparison of various methods of nearfield acoustic holography". United States. doi:10.1016/j.jsv.2017.05.015. https://www.osti.gov/servlets/purl/1366517.
@article{osti_1366517,
title = {An experimental comparison of various methods of nearfield acoustic holography},
author = {Chelliah, Kanthasamy and Raman, Ganesh and Muehleisen, Ralph T.},
abstractNote = {An experimental comparison of four different methods of nearfield acoustic holography (NAH) is presented in this study for planar acoustic sources. The four NAH methods considered in this study are based on: (1) spatial Fourier transform, (2) equivalent sources model, (3) boundary element methods and (4) statistically optimized NAH. Two dimensional measurements were obtained at different distances in front of a tonal sound source and the NAH methods were used to reconstruct the sound field at the source surface. Reconstructed particle velocity and acoustic pressure fields presented in this study showed that the equivalent sources model based algorithm along with Tikhonov regularization provided the best localization of the sources. Reconstruction errors were found to be smaller for the equivalent sources model based algorithm and the statistically optimized NAH algorithm. Effect of hologram distance on the performance of various algorithms is discussed in detail. The study also compares the computational time required by each algorithm to complete the comparison. Four different regularization parameter choice methods were compared. The L-curve method provided more accurate reconstructions than the generalized cross validation and the Morozov discrepancy principle. Finally, the performance of fixed parameter regularization was comparable to that of the L-curve method.},
doi = {10.1016/j.jsv.2017.05.015},
journal = {Journal of Sound and Vibration},
number = C,
volume = 403,
place = {United States},
year = {Fri May 19 00:00:00 EDT 2017},
month = {Fri May 19 00:00:00 EDT 2017}
}

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  • This paper evaluates the performance of various regularization parameter choice methods applied to different approaches of nearfield acoustic holography when a very nearfield measurement is not possible. For a fixed grid resolution, the larger the hologram distance, the larger the error in the naïve nearfield acoustic holography reconstructions. These errors can be smoothed out by using an appropriate order of regularization. This study shows that by using a fixed/manual choice of regularization parameter, instead of automated parameter choice methods, reasonably accurate reconstructions can be obtained even when the hologram distance is 16 times larger than the grid resolution.
  • This paper evaluates the performance of various regularization parameter choice methods applied to different approaches of nearfield acoustic holography when a very nearfield measurement is not possible. For a fixed grid resolution, the larger the hologram distance, the larger the error in the naive nearfield acoustic holography reconstructions. These errors can be smoothed out by using an appropriate order of regularization. In conclusion, this study shows that by using a fixed/manual choice of regularization parameter, instead of automated parameter choice methods, reasonably accurate reconstructions can be obtained even when the hologram distance is 16 times larger than the grid resolution.
  • The results of systematic experimental investigations of heat transfer in a highly cooled turbulent boundary layer of air on a flat plate are compared with those of the various semiempirical calculation methods and with the relations of the Kutateladze-Leont`ev theory. It is demonstrated that the second approximation of the Kutateladze-Leont`ev theory, including the finite Reynolds numbers and the variability of the physical properties of gas (this variability being rather significant in the case of our experiments), adequately describes the experimental data. Of the semiempirical calculation methods, the method of Sommer and Short yields the best agreement with the experimental data.
  • We compare x-ray fluorescence holography (XFH) and multiple-energy x-ray holography (MEXH), two techniques that have recently been used to obtain experimental three-dimensional atomic images. For single-energy holograms, these methods are equivalent by virtue of the optical reciprocity theorem. However, XFH can only record holographic information at the characteristic fluorescence energies of the emitting species, while MEXH can record holographic information at any energy above the fluorescent edge of the emitter, thus enabling the suppression of real-twin overlaps and other aberrations and artifacts in atomic images. {copyright} {ital 1997} {ital The American Physical Society}