Inverse Scattering Problem for Medium Which Supports N-types of Waves. II

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概要

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• An inverse scattering problem for a layered rnediurn that supports N types of linear wavesis considered, that is an 2N x 2N generalization of the Dirac type eqtration in one dimension.Both the direct and inverse scattering problems for this probletaa are studied. The relevantinverse problem is formulated to a uniquely solvable Riemann-Hilbert problem which can betransformed to a matrix singular integral equation. It is shown 1,hat the only contribution toreconstruction of potentials vanishing at infinity, comes f'rom the solution which is normalized toidentity unatrix I at infinity. The remarkable difference from the conventional "regular" N x Nfirst order linear spectral problezn is that the problem considered here are of both the propertiesof the well-known 2 x 2 Dirac type equation and the properties of the conventional "regular"N x N first order linear spectral problem.

• 社団法人日本物理学会の論文
• 1996-11-15

著者

• Wang Ning

  Ocean University Of Qingdao

• Wang Ning

  Ocean University Of Qingsao

関連論文

• Inverse Scattering Problem for Medium Which Supports N-types of Waves. II
• Determining Flexural Rigidity Distribution of a Composite Bending Beam

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