AIMS Mathematics (Apr 2024)

Shape reconstruction of acoustic obstacle with linear sampling method and neural network

  • Bowen Tang,
  • Xiaoying Yang,
  • Lin Su

DOI
https://doi.org/10.3934/math.2024664
Journal volume & issue
Vol. 9, no. 6
pp. 13607 – 13623

Abstract

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We consider the inverse scattering problem of reconstructing the boundary of an obstacle by using far-field data. With the plane wave as the incident wave, a priori information of the impenetrable obstacle can be obtained via the linear sampling method. We have constructed the shape parameter inversion model based on a neural network to reconstruct the obstacle. Numerical experimental results demonstrate that the model proposed in this paper is robust and performs well with a small number of observation directions.

Keywords