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RE mantidproject#36144

docs/source/algorithms/FlipperEfficiency-v1.rst

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+.. algorithm::
+
+.. summary::
+
+.. relatedalgorithms::
+
+.. properties::
+
+Description
+-----------
+
+Calculates the efficiency of a single flipper  with regards to wavelength. The input workspace must be a group workspace
+containing four known spin states, which can be given by the ``SpinStates`` parameter. It then uses these four spin
+states to calculate the proportion of neutrons lost to the flipper with regards to wavelength.
+
+The polarisation of the flipper :math:`P_{F}` is given by:
+
+.. math::
+
+   P_F = \frac{T_{11} - T_{10}}{T_{00} - T_{01}}
+
+Since the efficiency :math:`\epsilon_{F}` is equal to :math:`\frac{1 + P_{F}}{2}`, we can calculate the efficiency of
+the flipper directly using:
+
+.. math::
+
+   \epsilon_{F} = \frac{T_{00} - T_{01} + T_{11} - T_{10}}{2(T_{00} - T_{01})}
+
+Usage
+-----
+
+**Example - Calculate Flipper Efficiency**
+
+.. testcode:: FlipperEfficiencyExample
+
+    CreateSampleWorkspace(OutputWorkspace='out_00', Function='User Defined', UserDefinedFunction='name=Lorentzian, Amplitude=48000, PeakCentre=2.65, FWHM=1.2', XUnit='wavelength', NumBanks=1, BankPixelWidth=1, XMin=0, XMax=16.5, BinWidth=0.1)
+    CreateSampleWorkspace(OutputWorkspace='out_11', Function='User Defined', UserDefinedFunction='name=Lorentzian, Amplitude=47000, PeakCentre=2.65, FWHM=1.2', XUnit='wavelength', NumBanks=1, BankPixelWidth=1, XMin=0, XMax=16.5, BinWidth=0.1)
+    CreateSampleWorkspace(OutputWorkspace='out_10', Function='User Defined', UserDefinedFunction='name=Lorentzian, Amplitude=22685, PeakCentre=2.55, FWHM=0.6', XUnit='wavelength', NumBanks=1, BankPixelWidth=1, XMin=0, XMax=16.5, BinWidth=0.1)
+    CreateSampleWorkspace(OutputWorkspace='out_01', Function='User Defined', UserDefinedFunction='name=Lorentzian, Amplitude=22685, PeakCentre=2.55, FWHM=0.6', XUnit='wavelength', NumBanks=1, BankPixelWidth=1, XMin=0, XMax=16.5, BinWidth=0.1)
+
+    group = GroupWorkspaces(['out_00','out_11','out_10','out_01'])
+
+    group = ConvertUnits(group, "Wavelength")
+
+    out = FlipperEfficiency(group, SpinStates="00, 11, 10, 01")
+
+    print("Flipper efficiency at a wavelength of " + str(mtd['out'].dataX(0)[3]) + " Å is " + str(mtd['out'].dataY(0)[3]))
+
+Output:
+
+.. testoutput:: FlipperEfficiencyExample
+    :options: +ELLIPSIS +NORMALIZE_WHITESPACE
+
+    Flipper efficiency at a wavelength of 4.0 Å is ...
+
+.. categories::
+
+.. sourcelink::