Wave-field splitting, invariant imbedding, and phase space methods in direct and inverse scattering

1992 ◽  
Author(s):  
Louis Fishman
2017 ◽  
Vol 96 (3) ◽  
Author(s):  
Asier Piñeiro Orioli ◽  
Arghavan Safavi-Naini ◽  
Michael L. Wall ◽  
Ana Maria Rey

1994 ◽  
Vol 72 (8) ◽  
pp. 1137-1140 ◽  
Author(s):  
M. G. Raymer ◽  
M. Beck ◽  
D. McAlister

1991 ◽  
Vol 118 (1-2) ◽  
pp. 119-131 ◽  
Author(s):  
M. A. Astaburuaga ◽  
Claudio Fernández ◽  
Víctor H. Cortés

SynopsisIn this paper we study the direct and inverse scattering problem on the phase space for a classical particle moving under the influence of a conservative force. We provide a formula for the scattering operator in the one-dimensional case and we settle the properties of the potential that can be deduced from it. We also study the question of recovering the shape of the barriers which can be seen from −∞ and ∞. An example is given showing that these barriers are not uniquely determined by the scattering operator.


2017 ◽  
Vol 377 ◽  
pp. 268-310 ◽  
Author(s):  
B.J. Dalton ◽  
J. Jeffers ◽  
S.M. Barnett

2016 ◽  
Vol 370 ◽  
pp. 12-66 ◽  
Author(s):  
B.J. Dalton ◽  
J. Jeffers ◽  
S.M. Barnett

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