Inverse Scattering with Non-Over-Determined Data
نویسندگان
چکیده
منابع مشابه
Uniqueness of the solution to inverse obstacle scattering with non-over-determined data
It is proved that the scattering amplitude A(β, α0, k0), known for all β ∈ S2, where S2 is the unit sphere in R3, α0 ∈ S2 is fixed, k0 > 0 is fixed, determines the surface S of the obstacle and the boundary condition on S uniquely. The boundary condition on S is either the Dirichlet, or Neumann, or the impedance one. The uniqueness theorems for the solution of inverse scattering problems with n...
متن کاملA numerical method for solving 3D inverse scattering problem with non-over-determined data
This open-access article is distributed under the terms of the Creative Commons Attribution Non-Commercial License (CC BY-NC) (http:// creativecommons.org/licenses/by-nc/4.0/), which permits reuse, distribution and reproduction of the article, provided that the original work is properly cited and the reuse is restricted to noncommercial purposes. For commercial reuse, contact [email protected]...
متن کاملUniqueness theorem for inverse scattering problem with non-overdetermined data
Let q(x) be real-valued compactly supported sufficiently smooth function. It is proved that the scattering data A(−β, β, k) ∀β ∈ S, ∀k > 0 determine q uniquely. MSC: 35P25, 35R30, 81Q05; PACS: 03.65.Nk
متن کاملMultidimensional Inverse Scattering with Fixed-Energy Data
1 Introduction In this lecture the author reviews his results on multidimensional inverse scattering. References to the works of other authors can be found in [20]. Five topics are briefly discussed:-1) property C with constraints and new type of the uniqueness theorems for inverse scattering,-2) inversion of noisy discrete fixed-energy 3D scattering data and error estimates,-3) variational pri...
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 ADVANCES IN MATHEMATICS
سال: 2019
ISSN: 2347-1921
DOI: 10.24297/jam.v16i0.8089