IDENTIFICATION OF AN ARBITRARY SHAPE RIGID OBSTACLE ILLUMINATED BY FLAT ACOUSTIC WAVE USING NEAR FIELD DATA

Tomasz Rymarczyk


1Research & Development Centre Netrix S.A., 2WSEI University, Faculty of Transport and Informatics (Poland)
https://orcid.org/0000-0002-3524-9151

Jan Sikora

sik59@wp.pl
1Research & Development Centre Netrix S.A., 2WSEI University, Faculty of Transport and Informatics (Poland)
https://orcid.org/0000-0002-9492-5818

Abstract

The inverse problem concerning the identification of rigid surfaces of scattering objects formulated in the frequency domain is presented in this paper. Differences in the identification of concave objects, such as kite-shaped, and convex objects (circle) are indicated. The reader’s attention is focused on the conventional boundary element method with small number of boundary elements and the small number of sensors, which is significant for inverse problems.


Keywords:

acoustics wave scattering by arbitrary shaped objects, simulation of external acoustic problems using the Boundary Element Method (BEM), inverse problem

[1] Abramowitz M., Stegun I. A.: Handbook of mathematical functions with formulas, graphs, and mathematical tables. John Wiley, New York 1973.
  Google Scholar

[2] Akylas T. R., Mei C. C.: I-campus project School-wide Program on Fluid Mechanics Modules on Waves in fluids. Chapter Five of Reflection, Transmission and Diffraction [http://web.mit.edu/fluids-modules/waves/www/ c-index.html].
  Google Scholar

[3] Baynes A. B.: Scattering of low-frequency sound by compact objects in underwater waveguides. PhD Dissertation. Naval Postgraduate School, Monterey, California 2018.
  Google Scholar

[4] Becker A. A.: The boundary Element Method in Engineering. A complete course. McGraw-Hill Book Company 1992.
  Google Scholar

[5] Cakoni F., Colton D.: A Qualitative Approach to Inverse Scattering Theory. Applied Mathematical Sciences 188. Springer 2014.
  Google Scholar

[6] Colton D., Kress R.: Integral Equation Methods in Scattering Theory. Springer 1993.
  Google Scholar

[7] Jabłoński P.: Engineering Physics – Electromagnetism. Częstochowa University of Technology 2009.
  Google Scholar

[8] Jeong C., Na S.-W., Kallivokas L. F.: Near-surface localization and shape identification of a scatterer embedded in a halfplane using scalar waves. Journal of Computational Acoustics 17(3), 2009, 277–308.
  Google Scholar

[9] Kirkup S., The Boundary Element Method in Acoustics: A Survey. Applied Sciences 9(8), 2019, 1642 [https://doi.org/10.3390/app9081642].
  Google Scholar

[10] Kirkup S.: The Boundary Element Method in Acoustics. Book in Journal of Computational Acoustics 2007.
  Google Scholar

[11] Li P., Wang Y.: Numerical solution of an inverse obstacle scattering problem with near-field data. Journal of Computational Physics 290, 2015, 157–168.
  Google Scholar

[12] 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. University of Manchester, School of Natural Sciences, Department of Mathematics, 2020.
  Google Scholar

[13] Rymarczyk T.: Tomographic Imaging in Environmental, Industrial and Medical Applications. Innovatio Press Publishing Hause, Lublin 2019.
  Google Scholar

[14] Sikora J.: Boundary Element Method for Impedance and Optical Tomography. Warsaw University of Technology Publishing Hause, Warsaw 2007.
  Google Scholar

[15] https://www.mathworks.com/products/matlab.html
  Google Scholar

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Published
2024-12-21

Cited by

Rymarczyk, T., & Sikora, J. (2024). IDENTIFICATION OF AN ARBITRARY SHAPE RIGID OBSTACLE ILLUMINATED BY FLAT ACOUSTIC WAVE USING NEAR FIELD DATA. Informatyka, Automatyka, Pomiary W Gospodarce I Ochronie Środowiska, 14(4), 5–9. https://doi.org/10.35784/iapgos.6645

Authors

Tomasz Rymarczyk 

1Research & Development Centre Netrix S.A., 2WSEI University, Faculty of Transport and Informatics Poland
https://orcid.org/0000-0002-3524-9151

Authors

Jan Sikora 
sik59@wp.pl
1Research & Development Centre Netrix S.A., 2WSEI University, Faculty of Transport and Informatics Poland
https://orcid.org/0000-0002-9492-5818

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