An Efficient Algorithm for Solving the Inverse Problem of Locating the Interfaces Using the Frequency Sounding Data
✍ Scribed by Alexandre Timonov; Michael V. Klibanov
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 146 KB
- Volume
- 183
- Category
- Article
- ISSN
- 0021-9991
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✦ Synopsis
We consider the inverse coefficient problem of locating the interface positions arising in frequency sounding of layered media. Such a problem is of particular interest in the exploration of geophysics, underwater acoustics and electromagnetics, optical sensing, and so forth. We found that a simplified algorithm can be constructed to determine the approximate positions of interfaces. Unlike the conventional nonlinear least squares, this algorithm does not require the time-consuming constrained optimisation. Instead, the predictor-corrector method is applied to solve numerically the auxiliary Cauchy problem for a Riccati equation. The feasibility of this algorithm is demonstrated in computational experiments with a model problem of electromagnetic frequency sounding of layered media.