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  • 1- Fakülteler | Faculties
  • Fen Edebiyat Fakültesi / Faculty of Arts and Sciences
  • Matematik Bölümü / Department of Mathematics
  • FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics
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An inverse source problem connected with thermoacoustic imaging in multi-layer planar medium

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Date

2019-02-20

Author

Yücel, Hazel
Ünalmış Uzun, Banu

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Citation

Ünalmış Uzun, B. & Yücel, H. (2019). An inverse source problem connected with thermoacoustic imaging in multi-layer planar medium. Journal of Mathematical Imaging and Vision, 61(6), 874-884. doi:10.1007/s10851-019-00875-2

Abstract

We derived analytical forward and inverse solution of thermoacoustic wave equation for nonhomogeneous medium. We modelled the nonhomogeneous medium as a multi-layer planar medium and defined initial conditions, continuity conditions on the layer boundaries and radiation conditions at infinity assuming the source distribution existing in all layers. These solutions of thermoacoustic wave equation are based on the method of Green’s functions for layered planar media. For qualitative testing and comparison of the point-spread functions associated with the homogeneous and layered solutions, we performed numerical simulations. Our simulation results showed that the conventional inverse solution based on homogeneous medium assumption, as expected, produced incorrect locations of point sources, whereas our inverse solution involving the multi-layer planar medium produced point sources at the correct source locations. Also, we examined whether the performance of our layered inverse solution is sensitive to medium parameters used as priority information in the measured data. Our inverse solutions based on multi-layer planar media are applicable for cross-sectional two-dimensional imaging of abdominal structure and the organs such as breast and skin.

Source

Journal of Mathematical Imaging and Vision

Volume

61

Issue

6

URI

https://hdl.handle.net/11729/1586
http://dx.doi.org/10.1007/s10851-019-00875-2

Collections

  • FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics [216]
  • Scopus İndeksli Makale Koleksiyonu [885]
  • WoS İndeksli Makale Koleksiyonu [893]



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