Rational reflection coefficients in inverse scattering for a Dirac systemRational reflection coefficients in inverse scattering for a Dirac system
Faculty of Sciences. Physics

Department of Physics

Non-linear Waves

article

1999Bristol, 1999

Mathematics

Physics

Inverse problems. - Bristol

15(1999):1, p. 241-251

0266-5611

000078856300023

E

English (eng)

University of Antwerp

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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