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Reconstruction of coupling profiles for scattering media by the schur algorithm combined with an extrapolation method
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- Authors
- Taejoon Kim, Icsoo Oe, Joohwan Chun
- Issue Date
- 2005-03
- Citation
- International Conference on Acoustics, Speech and Signal Processing (ICASSP) 2005, pp.IV125-IV128
- Publisher
- IEEE
- Language
- English
- Type
- Conference Paper
- Abstract
- We demonstrate an efficient inverse scattering algorithm for reconstructing the coupling profiles or reflection coefficients of a discrete layered medium. The method, called the Schur algorithm combined with an extrapolation method, is based on solving the coupled-mode differential equation in a layer-peeling procedure with a simple extrapolation scheme. In order to reduce the estimation errors caused by discretization of an inhomogeneous medium, we analyze the error propagation of inverse scattering with the Schur algorithm (layer-peeling method) and propose the extrapolation scheme. Numerical examples are provided that compare the Schur algorithm combined with an extrapolation method to the general Schur algorithm in a coarse discretization environment. The comparison shows that the proposed method produces a more accurate reconstruction with a lower order of complexity. © 2005 IEEE.
- KSP Keywords
- Differential equation, Extrapolation method, Inverse scattering, Numerical examples, Reflection Coefficient, error propagation, estimation error, inhomogeneous medium, layered medium, scattering media