\(\renewcommand\AA{\unicode{x212B}}\)

TOFSANSResolution v1

../_images/TOFSANSResolution-v1_dlg.png

TOFSANSResolution dialog.

Summary

Calculate the Q resolution for TOF SANS data.

Properties

Name Direction Type Default Description
InputWorkspace InOut MatrixWorkspace Mandatory Name the workspace to calculate the resolution for
ReducedWorkspace Input MatrixWorkspace Mandatory I(Q) workspace
OutputBinning Input dbl list Mandatory  
MinWavelength Input number Optional Minimum wavelength to use.
MaxWavelength Input number Optional Maximum wavelength to use.
PixelSizeX Input number 5.15 Pixel size in the X direction (mm).
PixelSizeY Input number 5.15 Pixel size in the Y direction (mm).
SampleApertureRadius Input number 5 Sample aperture radius (mm).
SourceApertureRadius Input number 10 Source aperture radius (mm).
DeltaT Input number 250 TOF spread (microsec).

Description

Compute the Q resolution for a given I(Q) for a TOF SANS instrument. The Q resolution is given as:

\(\left( \frac{dQ}{Q}\right)^2 = \left( \frac{d\theta}{\theta} \right)^2 + \left( \frac{dt}{t} \right)^2 + \left( \frac{\Delta\lambda}{\lambda} \right)^2\)

where \(t\) is the time of flight, \(\Delta\lambda\) is the wavelength bin width used when histogramming the data, and

\(\left( \frac{d\theta}{\theta}\right)^2 = \frac{1}{12\theta^2}\left[ \frac{3 \ R_1^2}{L_1^2} + \frac{3 \ R^2_2 D^2}{L_1^2 L^2_2} + \frac{2 \ (p_x^2 + p_y^2)}{L^2_2} \right]\)

Categories: AlgorithmIndex | SANS

Source

C++ header: TOFSANSResolution.h (last modified: 2020-03-20)

C++ source: TOFSANSResolution.cpp (last modified: 2020-04-07)