A new method, based on an iterative procedure, for solving the two-dimensional inverse scattering problem is presented. This method employs an equivalent Neumann series solution in each iteration step. The purpose of the algorithm is to provide a general method to solve the two-dimensional imaging p
Iterative solution of inverse scattering for a two-dimensional dielectric object
β Scribed by Huang-Tien Lin; Yean-Woei Kiang
- Publisher
- John Wiley and Sons
- Year
- 1996
- Tongue
- English
- Weight
- 788 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0899-9457
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β¦ Synopsis
Two-dimensional inverse scattering for a dielectric cylinder was investigated. The problem was to reconstruct the dielectric constant distribution of a scatterer from the scattered field measured outside under the illumination of an incident wave. Theoretically, the inversion algorithm is derived using integral equation formulations to- gether with the iterative technique. Note that the inverse problem is solved in the angular spectral domain instead of in the space domain. Therefore, the ill-posedness can be reduced and no regularization is needed. Numerical results show that with only one incident wave generated by a line source, good reconstruction is obtained even when the dielectric constant is fairly large and the Born approximation is no longer valid. The effects of random noise and measurement distance on imaging reconstruction were also investigated.
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Figure 3 Comparison of the normalized phase velocity computed w x by using the new expression of and the expression in 1 with r, eff, p the measurements Figure 4 Comparison of the interaction impedance computed by w x using the new expression of and the expression in 1 with the r, eff, p measurement
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