WIAS Preprint No. 1964, (2014)

Near-field imaging of scattering obstacles with the factorization method



Authors

  • Hu, Guanghui
  • Yang, Jiaqing
  • Zhang, Bo
  • Zhang, Haiwen

2010 Mathematics Subject Classification

  • 35R30 78A45 78A46

Keywords

  • factorization method, inverse scattering, Helmholtz equation, point sources, near-field data

Abstract

In this paper we establish a factorization method for recovering the location and shape of an acoustic bounded obstacle with using the near-field data, corresponding to infinitely many incident point sources. The obstacle is allowed to be an impenetrable scatterer of sound-soft, sound-hard or impedance type or a penetrable scatterer. An outgoing-to-incoming operator is constructed for facilitating the factorization of the near-field operator, which can be easily implemented numerically. Numerical examples are presented to demonstrate the feasibility and effectiveness of our inversion algorithm, including the case where limited aperture near-field data are available only.

Appeared in

  • Inverse Problems, 30 (2014) pp. 095005/1--095005/25.

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