\(\renewcommand\AA{\unicode{x212B}}\)
HyspecScharpfCorrection dialog.
Table of Contents
| Name | Direction | Type | Default | Description |
|---|---|---|---|---|
| InputWorkspace | Input | MatrixWorkspace | Mandatory | An input workspace in units of energy transfer. |
| PolarizationAngle | Input | number | Mandatory | In plane angle between polatrization and incident beamMust be between -180 and +180 degrees |
| Precision | Input | number | 0.1 | If cosine of twice the Scharpf angle is closer to 0 than the precision, the intensities and errors will be set to 0 |
| OutputWorkspace | Output | MatrixWorkspace | Mandatory | An output workspace. |
This algorithm is applying a polarization correction for single crystal inelastic experiments. If one measures scattering intensity with polarization along the momentum transfer \(Q\), perpendicular to it in the horizontal plane, and in the vertical direction, one can write the spin incoherent contribution as:
where the sf and nsf subscripts stand for spin flip and non-spin flip. The x direction is parallel to \(Q\), y is perpendicular in the horizontal plane, while z is vertically up. NOTE: this is not the Mantid convention.
However, for instruments with multiple detectors and using time of flight neutrons, one has a constantly varying angle between \(Q\) and polarization. If we call this angle \(\alpha\) (Scharpf angle), the above equation can be written as:
This algorithm calculates the Scharpf angle for every event or energy transfer bin, then divides the intensity by \(F=\cos^2\alpha-\sin^2\alpha=\cos(2\alpha)\). In places where F is less than the Precision, the intensity of the output workspace is set to 0.
For a detector at angle \(\theta\) in the horizontal plane, the angle between \(Q\) and \(k_i\) is given by
The Scharpf angle is then:
Note
This algorithm assumes that all scattering is in the horizontal plane (good enough approximation for Hyspec instrument, in polarized mode).
For more information, see
Example - HyspecScharpfCorrection
# Create a workspace (NXSPE equivalent)
w = CreateSampleWorkspace(Function='Flat background', NumBanks=1,
BankPixelWidth=1, XUnit='DeltaE',
XMin=-10.25, XMax=20, BinWidth=0.5)
MoveInstrumentComponent(Workspace=w, ComponentName='bank1', X=3, Z=3, RelativePosition=False)
AddSampleLog(Workspace=w,LogName='Ei', LogText='17.1', LogType='Number')
wsOut = HyspecScharpfCorrection(InputWorkspace=w,
PolarizationAngle=-10,
Precision=0.2)
# Get the data
intensity = wsOut.readY(0)
bin_boundaries = wsOut.readX(0)
energy_transfer = 0.5*(bin_boundaries[1:]+bin_boundaries[:-1])
# at DeltaE=5meV, Q makes an angle of 55.7 degrees with incident beam
# If polarization angle is -10 degrees, the intensity should be 0
# Below this energy, the Scharpf angle correction is negative, above
# is positive. If energy transfer is greater than Ei, intensity is
# set to 0
print('Intensity at DeltaE= 0meV: {0:.2f}'.format((intensity[energy_transfer==0])[0]))
print('Intensity at DeltaE= 5meV: {0:.2f}'.format((intensity[energy_transfer==5])[0]))
print('Intensity at DeltaE=10meV: {0:.2f}'.format((intensity[energy_transfer==10])[0]))
print('Intensity at DeltaE=19meV: {0:.2f}'.format((intensity[energy_transfer==19])[0]))
Output:
Intensity at DeltaE= 0meV: -2.37
Intensity at DeltaE= 5meV: 0.00
Intensity at DeltaE=10meV: 1.99
Intensity at DeltaE=19meV: 0.00
Categories: AlgorithmIndex | CorrectionFunctions\SpecialCorrections | Inelastic\Corrections
C++ header: HyspecScharpfCorrection.h (last modified: 2020-03-20)
C++ source: HyspecScharpfCorrection.cpp (last modified: 2020-04-07)