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Title
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Rational reflection coefficients in inverse scattering for a Dirac system
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Author
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Abstract
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| The inverse scattering problem (ISP) on the whole line for a Dine system is considered. The reflection coefficient (FC) is represented as a rational function with an arbitrary number of poles. The method of solving for the Gel' fand-Levitan-Marchenko (GLM) equation generated by a rational reflection coefficient (RFC) is extended to n poles, when a spectral gap is present. The explicit solution in the case of three poles is presented. Graphs of the potential as a function of distance are displayed for cases having up to four poles. |
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Language
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English
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Source (journal)
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Inverse problems. - Bristol
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Publication
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Bristol
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1999
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ISSN
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0266-5611
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DOI
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10.1088/0266-5611/15/1/023
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Volume/pages
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15
:1
(1999)
, p. 241-251
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ISI
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000078856300023
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Full text (Publisher's DOI)
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