Actions for Inverse problem in neutron reflection [electronic resource].
Inverse problem in neutron reflection [electronic resource].
- Published
- Washington, D.C. : United States. Dept. of Energy, 1991.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy. - Physical Description
- Pages: (23 pages) : digital, PDF file
- Additional Creators
- Argonne National Laboratory, United States. Department of Energy, and United States. Department of Energy. Office of Scientific and Technical Information
Access Online
- Restrictions on Access
- Free-to-read Unrestricted online access
- Summary
- Reflectance and transmittance of neutrons from a thin film deposited on a bulk substrate are derived from solution of Schroedinger wave equation in the material medium with an optical potential. A closed-form solution for the complex reflectance and transmittance is obtained in an approximation where the curvature of the scattering length density profile in the film is small. This closed-form solution reduces to all the known approximations in various limiting cases and is shown to be more accurate than the existing approximations. The closed-form solution of the reflectance is used as a starting point for an inversion algorithm whereby the reflectance data are inverted by a matrix iteration scheme to obtain the scattering length density distribution in the film. A preliminary test showed that the inverted profile is accurate for the linear scattering length density distribution but falls short in the case of an exponential distribution. 30 refs., 7 figs., 1 tab.
- Report Numbers
- E 1.99:anl/cp-73387
E 1.99: conf-9104271--1
conf-9104271--1
anl/cp-73387 - Subject(s)
- Other Subject(s)
- Neutrons
- Reflectivity
- Transmission
- Thin Films
- Scattering Lengths
- Algorithms
- Meetings
- Schroedinger Equation
- Substrates
- Baryons
- Differential Equations
- Dimensions
- Elementary Particles
- Equations
- Fermions
- Films
- Hadrons
- Length
- Mathematical Logic
- Nucleons
- Optical Properties
- Partial Differential Equations
- Physical Properties
- Surface Properties
- Wave Equations
- Note
- Published through SciTech Connect.
05/01/1991.
"anl/cp-73387"
" conf-9104271--1"
"DE91014457"
North Atlantic Treaty Organization (NATO) advanced research workshop on inverse problems in scattering and imaging, North Falmouth, MA (United States), 14-19 Apr 1991.
Felcher, G.P.; Chen, Sow-Hsin . Dept. of Nuclear Engine; Zhou, Xiao-Lin. - Funding Information
- W-31109-ENG-38
View MARC record | catkey: 14459117