SCATTERING BY CIRCULAR VOIDS WITH RIGID BOUNDARY: DIRECT AND INVERSE PROBLEMS FOR OPEN AND CLOSE DOMAINS
Tomasz Rymarczyk
1 Research & Development Centre Netrix S.A., 2 WSEI University, Faculty of Transport and Informatics (Poland)
http://orcid.org/0000-0002-3524-9151
Jan Sikora
sik59@wp.pl1 Research & Development Centre Netrix S.A., 2 WSEI University, Faculty of Transport and Informatics (Poland)
http://orcid.org/0000-0002-9492-5818
Abstract
Problems with the accuracy of calculations by the Boundary Element Method of acoustic and ultrasonic problems formulated in the frequency domain were presented in this paper. The inverse problem was formulated to identify the position and dimensions of the scattering object. A series of numerical experiments carried out with the help of the Boundary Elements Method proved the algorithm's robustness to noise and high precision in a wide frequency spectrum.
Keywords:
acoustics-ultrasound wave propagation, BEM simulation, inverse problems, optimization methodsReferences
Abramowitz M., Stegun I. A.: Handbook of mathematical functions with formulas, graphs, and mathematical tables. John Wiley, New York 1973.
Google Scholar
Athanasiadis C.: Scattering relations for point sources: Acoustic and electromagnetic waves. Journal of mathematical physics 43(11), 2002, 5683.
DOI: https://doi.org/10.1063/1.1509089
Google Scholar
Harwood A. R. G.: Numerical Evaluation of Acoustic Green’s Functions. PhD School of Mechanical, Aerospace & Civil Engineering, University of Manchester, Manchester 2014.
Google Scholar
Kirkup S.: The Boundary Element Method in Acoustics: A Survey. Applied Sciences 9(8), 2019, 1642 [http://doi.org/10.3390/app9081642].
DOI: https://doi.org/10.3390/app9081642
Google Scholar
Lynott G. M.: Efficient numerical evaluation of the scattering of acoustic and elastic waves by arrays of cylinders of arbitrary cross section. Thesis of Doctor of Philosophy. School of Natural Sciences, Department of Mathematics, University of Manchester, Manchester 2020.
Google Scholar
Opieliński K. J., Pruchnicki P., Gudra T.: Ultrasonic Mammography with Circular Transducer Array. Archives of Acoustics 39(4), 2014, 559–568 [http://doi.org/10.2478/aoa-2014-0060].
DOI: https://doi.org/10.2478/aoa-2014-0060
Google Scholar
Rymarczyk T.: Tomographic Imaging in Environmental, Industrial and Medical Applications. Innovatio Press Publishing Hause, Lublin 2019.
Google Scholar
Rymarczyk T., Sikora J.: On precision acoustic wave calculation in a frequency domain. IAPGOS 2, 2022, 64–68 [http://doi.org/10.35784/iapgos.2966].
DOI: https://doi.org/10.35784/iapgos.2966
Google Scholar
Sikora J.: Boundary Element Method for Impedance and Optical Tomography. Warsaw University of Technology Publishing Hause, Warsaw 2007.
Google Scholar
https://www.comsol.com/acoustics-module
Google Scholar
https://reference.wolfram.com/language/PDEModels/tutorial/Acoustics/AcousticsFrequencyDomain.html
Google Scholar
Authors
Tomasz Rymarczyk1 Research & Development Centre Netrix S.A., 2 WSEI University, Faculty of Transport and Informatics Poland
http://orcid.org/0000-0002-3524-9151
Authors
Jan Sikorasik59@wp.pl
1 Research & Development Centre Netrix S.A., 2 WSEI University, Faculty of Transport and Informatics Poland
http://orcid.org/0000-0002-9492-5818
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