Finding potential from the fixed-energy scattering data via D-N map
نویسندگان
چکیده
منابع مشابه
Finding Potential from the Fixed-energy Scattering Data via D-n Map
An algorithm for solving the 3D inverse scattering problem with fixedenergy data is described. This algorithm is a specialization of the one described in A.G. Ramm, J.Math.Anal. Appl.,169, (1992), 329-349.
متن کاملRecovery of the potential from fixed - energy scattering data
It is proved that the scattering amplitude A(O', 0, k) known at a fixed k for all 8 , 0' E S' determines a compactly supported q (x) uniquely. A numerical procedure for recovery of the potential is given.
متن کاملRecovering Asymptotics of Metrics from Fixed Energy Scattering Data
The problem of recovering the asymptotics of a short range perturbation of the Euclidean metric on R n from xed energy scattering data is studied. It is shown that if two such metrics, g 1 ; g 2 ; have scattering data at some xed energy which are equal up to smoothing, then there exists a diieomorphism`` xing innnity' such that g 1 g 2 is rapidly decreasing. Given the scattering matrix at two e...
متن کاملDetermining Asymptotics of Magnetic Fields from Fixed Energy Scattering Data
The problem of recovering the asymptotics of a short range perturbation of the Euclidean Laplacian on R n from xed energy scattering data is studied. It is shown that for n 3 that a magnetic potential is determined, modulo Gauge invariance, by its scattering matrix at a xed non-zero energy. This result also holds for a wide class of scattering manifolds.
متن کاملInverse scattering with fixed - energy data ∗
The Newton-Sabatier method for solving inverse scattering problem with fixed-energy phase shifts for a sperically symmetric potential is discussed. It is shown that this method is fundamentally wrong in the sense that its foundations are wrong: in general it cannot be carried through because its basic integral equation may be not solvable for some r > 0 and in this case the method breaks down; ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Inverse and Ill-Posed Problems
سال: 1996
ISSN: 0928-0219,1569-3945
DOI: 10.1515/jiip.1996.4.2.145