scholarly journals A globally accelerated numerical method for optical tomography with continuous wave source

2008 ◽  
Vol 16 (8) ◽  
Author(s):  
H. Shan ◽  
M. V. Klibanov ◽  
J. Su ◽  
N. Pantong ◽  
H. Liu
Keyword(s):  
Numerical Method ◽  
Continuous Wave ◽  
Optical Tomography ◽  
Wave Source

A globally convergent numerical method for an inverse elliptic problem of optical tomography

2010 ◽  
Vol 89 (6) ◽  
pp. 861-891 ◽  
Author(s):  
Michael V. Klibanov ◽  
Jianzhong Su ◽  
Natee Pantong ◽  
Hua Shan ◽  
Hanli Liu
Keyword(s):  
Numerical Method ◽  
Elliptic Problem ◽  
Optical Tomography ◽  
Globally Convergent ◽  
Inverse Elliptic Problem

scholarly journals Dynamical theory calculations of spin-echo resolved grazing-incidence scattering from a diffraction grating

2010 ◽  
Vol 43 (3) ◽  
pp. 455-465 ◽  
Author(s):  
Rana Ashkar ◽  
P. Stonaha ◽  
A. L. Washington ◽  
V. R. Shah ◽  
M. R. Fitzsimmons ◽  
...  
Keyword(s):  
Diffraction Grating ◽  
Continuous Wave ◽  
Spin Echo ◽  
Grazing Incidence ◽  
Grating Period ◽  
Dynamical Theory ◽  
Neutron Spin ◽  
Wave Source ◽  
Rectangular Profile ◽  
Good Account

Neutrons scattered or reflected from a diffraction grating are subject to a periodic potential analogous to the potential experienced by electrons within a crystal. Hence, the wavefunction of the neutrons can be expanded in terms of Bloch waves and a dynamical theory can be applied to interpret the scattering phenomenon. In this paper, a dynamical theory is used to calculate the results of neutron spin-echo resolved grazing-incidence scattering (SERGIS) from a silicon diffraction grating with a rectangular profile. The calculations are compared with SERGIS measurements made on the same grating at two neutron sources: a pulsed source and a continuous wave source. In both cases, the spin-echo polarization, studied as a function of the spin-echo length, peaks at integer multiples of the grating period but there are some differences between the two sets of data. The dynamical theory explains the differences and gives a good account of both sets of results.

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