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Notes on the resolution smearing
The smeared intensity I_{s}(q_{0}) is calculated by knowing the resolution function R(q,q_{0}) for all values of q_{0} and a model intensity function by the function
The resolution function is approximated by a Gaussian given by
where the shadow factor, f_{s}, the mean scattering vector, , and the variance, , are all functions of q_{0}.
The shadow factor is needed because the tail of the gaussian resolution function is cut off by the beamstop. This factor accounts for the missing intensity due to the beamstop.
For the resolution calculations performed by the SANS simulator applet a 20 point integration is performed to plus and minus three standard deviations of the Gaussian resolution function for each point in q.
Report errors or make inquiries to Alan Munter, <alan.munter@nist.gov>
Last modified 25March2003 by website owner: NCNR (attn: Alan Munter)