Title
Rational reflection coefficients in inverse scattering for a Dirac system
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
Bristol ,
Subject
Mathematics
Physics
Source (journal)
Inverse problems. - Bristol
Volume/pages
15(1999) :1 , p. 241-251
ISSN
0266-5611
ISI
000078856300023
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
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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