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A numerical method for solving the inverse scattering problem with fixed-energy phase shifts
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Veröffentlicht/Copyright:
7. September 2013
Abstract
- Assume that the potential q(r), r > 0, is known for r ≥ a > 0 and the phase shifts δl(k) are given at a fixed energy, i. e., at a fixed k > 0, for l = 0, 1, 2, . . .. The inverse scattering problem is: find q(r) on the interval 0 ≤ r ≤ a using the above data. The proposed numerical method consists of a reduction of this problem to a moment problem for q(r) on the interval r ∈ [0, a]. The moment problem is solved numerically, the results are presented.
Published Online: 2013-09-07
Published in Print: 2000-06
© 2013 by Walter de Gruyter GmbH & Co.
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Artikel in diesem Heft
- Contents
- On symmetry condition of images of Fourier – Gelfand – Graev integral transformation
- Subdifferential inverse problems for evolution Navier – Stokes systems
- Stability results for solutions of a linear parabolic noncharacteristic Cauchy problem
- Identification of the curve of discontinuity of the determinant of the anisotropic conductivity
- Group analysis and formulas in inverse problems of mathematical physics
- A numerical method for solving the inverse scattering problem with fixed-energy phase shifts
- A multifunctional extension of function spaces: chaotic systems are maximally ill-posed
- Integral geometry problems for symmetric tensor fields with incomplete data
Artikel in diesem Heft
- Contents
- On symmetry condition of images of Fourier – Gelfand – Graev integral transformation
- Subdifferential inverse problems for evolution Navier – Stokes systems
- Stability results for solutions of a linear parabolic noncharacteristic Cauchy problem
- Identification of the curve of discontinuity of the determinant of the anisotropic conductivity
- Group analysis and formulas in inverse problems of mathematical physics
- A numerical method for solving the inverse scattering problem with fixed-energy phase shifts
- A multifunctional extension of function spaces: chaotic systems are maximally ill-posed
- Integral geometry problems for symmetric tensor fields with incomplete data
