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A New Method for Determining Optimal Regularization Parameter in Near-Field Acoustic Holography
Author
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-02-20
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
Tikhonov regularization method is effective in stabilizing reconstruction process of the near-field acoustic holography (NAH) based on the equivalent source method (ESM), and the selection of the optimal regularization parameter is a key problem that determines the regularization effect.
In this work, a new method for determining the optimal regularization parameter is proposed.
The transfer matrix relating the source strengths of the equivalent sources to the measured pressures on the hologram surface is augmented by adding a fictitious point source with zero strength.
The minimization of the norm of this fictitious point source strength is as the criterion for choosing the optimal regularization parameter since the reconstructed value should tend to zero.
The original inverse problem in calculating the source strengths is converted into a univariate optimization problem which is solved by a one-dimensional search technique.
Two numerical simulations with a point driven simply supported plate and a pulsating sphere are investigated to validate the performance of the proposed method by comparison with the L-curve method.
The results demonstrate that the proposed method can determine the regularization parameter correctly and effectively for the reconstruction in NAH.
American Psychological Association (APA)
Xiao, Yue. 2018. A New Method for Determining Optimal Regularization Parameter in Near-Field Acoustic Holography. Shock and Vibration،Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1215429
Modern Language Association (MLA)
Xiao, Yue. A New Method for Determining Optimal Regularization Parameter in Near-Field Acoustic Holography. Shock and Vibration No. 2018 (2018), pp.1-13.
https://search.emarefa.net/detail/BIM-1215429
American Medical Association (AMA)
Xiao, Yue. A New Method for Determining Optimal Regularization Parameter in Near-Field Acoustic Holography. Shock and Vibration. 2018. Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1215429
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1215429