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RemoveExpDecay dialog.
Table of Contents
| Name | Direction | Type | Default | Description |
|---|---|---|---|---|
| InputWorkspace | Input | MatrixWorkspace | Mandatory | The name of the input 2D workspace. |
| OutputWorkspace | Output | MatrixWorkspace | Mandatory | The name of the output 2D workspace. |
| Spectra | Input | int list | The workspace indices to remove the exponential decay from. |
This algorithm removes the exponential time decay from the specified muon spectra, leaving the rest unchanged. By default, all the spectra in a workspace will be corrected. If the detector records a total of zero counts (i.e. the detector is dead) then the output will be all zeros for that detector.
The formula for removing the exponential decay is given by:
where \(\tau\) is the muon lifetime (2.1969811e-6 seconds). \(N_0\) is a fitted normalisation constant.
Example - Removing exponential decay:
y = [100, 150, 50, 10, 5]
x = [1,2,3,4,5,6]
input = CreateWorkspace(x,y)
output = RemoveExpDecay(input)
print("Exp. decay removed: {}".format(output.readY(0)))
Output:
Exp. decay removed: [-0.24271431 0.79072482 -0.05900907 -0.70331658 -0.76614798]
Example - Removing exponential decay with dead detector:
import numpy as np
import random
# create data
x=np.linspace(start=0,stop=10,num=5)
xData = np.append(x,x)
xData = np.append(xData,xData)
#make y data
def genYData(x,phi):
return np.sin(5.0*x+phi)+np.exp(-x/2.2)
yData = np.append(genYData(x, 0.0), genYData(x, 1.2))
yData = np.append(yData, np.zeros(len(x))) # dead detector
yData = np.append(yData, genYData(x, 3.4))
# create workspace
ws = CreateWorkspace(xData,yData,NSpec=4, UnitX="Time")
label=ws.getAxis(0).setUnit("Label")
label.setLabel("Time","microsecond")
output = RemoveExpDecay(ws)# Print the result
for j in range(4):
print ("Exp. decay removed: {}".format(output.readY(j)))
Output:
Exp. decay removed: [ 0.04103434 -0.17277399 -1.29718867 -6.20972864 -25.84444803]
Exp. decay removed: [ -0.12586409 0.73213038 3.31216989 11.02723309 33.95108191]
Exp. decay removed: [ 0. 0. 0. 0. 0.]
Exp. decay removed: [ 0.05933294 -0.42223811 -1.30901512 -2.13214736 1.38620519]
Categories: AlgorithmIndex | Muon