Dual regularization in non-linear inverse scattering problems
| Autor: | Petr K. Gaikovich, Alexander I. Smirnov, Konstantin P. Gaikovich, Yelena S. Maksimovitch, Mikhail I. Sumin |
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| Rok vydání: | 2016 |
| Předmět: |
Permittivity
Physics business.industry Applied Mathematics General Engineering 010103 numerical & computational mathematics Conductivity 01 natural sciences Regularization (mathematics) Computer Science Applications Computational physics 010101 applied mathematics Nonlinear system Optics Earth's magnetic field Inverse scattering problem 0101 mathematics Reflectometry business Microwave |
| Zdroj: | Inverse Problems in Science and Engineering. 24:1215-1239 |
| ISSN: | 1741-5985 1741-5977 |
| DOI: | 10.1080/17415977.2016.1160389 |
| Popis: | A new method in the theory of non-linear ill-posed problems is adapted and applied to various one-dimensional inverse scattering problems of electromagnetic subsurface diagnostics of permittivity inhomogeneities. Based on the developed theory, solving algorithms have been worked out and applied in problems of low-frequency diagnostics of conductivity profile in geomagnetic exploration, microwave monitoring of water diffusion in soil and reflectometry diagnostics of inhomogeneities in multilayer structures of X-ray optics – covering the scale range from nanometers to kilometres. Results demonstrate new possibilities of developed approach in these applications. |
| Databáze: | OpenAIRE |
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