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- Zhang, H., et al.
(författare)
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Inverse problems for three-dimensional localization of an inhomogeneity in a stratified scattering medium by using a weighted Fourier transform
- 2001
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Ingår i: Wuli xuebao. - : Acta Physica Sinica, Chinese Physical Society and Institute of Physics, Chinese Academy of Sciences. - 1000-3290. ; 50:8, s. 1481-1485
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Tidskriftsartikel (refereegranskat)abstract
- Characterization of the structure of spatial inhomogeneities embedded in a highly scattering medium is required in many fields. In this paper, a model of a stratified medium embedded with an inhomogeneous ball is considered. With an assumption that the ball is small enough, a perturbation solution to diffusion equation is obtained with some boundary treatments. According to the characteristics of this solution in the two-dimensional Fourier space, a new weighted Fourier transform is used to process the surface data. After this process, a singularity appears at the center of the ball. Combining with the symmetry of the surface data, the information of three-dimensional position of the ball is determined.
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