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Inverse Scattering Problem for Medium Which Supports N-types of Waves. II.
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- Wang Ning
- Ocean University of Qingdao, 5–Yushan Road, 266003 Qingdao, P. R. China
Bibliographic Information
- Other Title
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- Inverse Scattering Problem for Medium Which Supports N-types of Waves-2-
- Inverse Scattering Problem for Medium W
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Description
An inverse scattering problem for a layered medium that supports N types of linear waves is considered, that is an 2N× 2N generalization of the Dirac type equation in one dimension. Both the direct and inverse scattering problems for this problem are studied. The relevant inverse problem is formulated to a uniquely solvable Riemann-Hilbert problem which can be transformed to a matrix singular integral equation. It is shown that the only contribution to reconstruction of potentials vanishing at infinity, comes from the solution which is normalized to identity matrix I at infinity. The remarkable difference from the conventional “regular” N× N first order linear spectral problem is that the problem considered here are of both the properties of the well-known 2× 2 Dirac type equation and the properties of the conventional “regular” N× N first order linear spectral problem.
Journal
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- Journal of the Physical Society of Japan
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Journal of the Physical Society of Japan 65 (11), 3483-3491, 1996
THE PHYSICAL SOCIETY OF JAPAN
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Keywords
Details 詳細情報について
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- CRID
- 1390282679158740096
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- NII Article ID
- 110001970024
- 210000099735
- 130004535443
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- NII Book ID
- AA00704814
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- BIBCODE
- 1996JPSJ...65.3483W
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- ISSN
- 13474073
- 00319015
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- NDL BIB ID
- 4090582
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL Search
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed