AsymmetryCalc v1

../_images/AsymmetryCalc-v1_dlg.png

AsymmetryCalc dialog.

Summary

Calculates the asymmetry between two groups of detectors for a muon workspace.

Properties

Name Direction Type Default Description
InputWorkspace Input MatrixWorkspace Mandatory Name of the input workspace
OutputWorkspace Output MatrixWorkspace Mandatory The name of the workspace to be created as the output of the algorithm
ForwardSpectra Input int list   The spectra numbers of the forward group
BackwardSpectra Input int list   The spectra numbers of the backward group
Alpha Input number 1 The balance parameter (default 1)

Description

This algorithm is used to calculate the asymmetry for a Muon workspace. It first groups the input workspace according to the spectra numbers provided as ForwardSpectra and BackwardSpectra. If these properties are not supplied, the algorithm assumes that the first spectrum in the workspace is the forward group and the second one is the backward group. It then calculates the asymmetry as:

Asymmetry = \frac{F-\alpha B}{F+\alpha B}

, where F is the front spectra, B is the back spectra and \alpha is the balance parameter [1].

The errors in F-\alpha B and F+\alpha B are calculated by adding the errors in F and B in quadrature; any errors in \alpha are ignored. The errors for the asymmetry are then calculated using the fractional error method with the values for the errors in F-\alpha B and F+\alpha B.

The output workspace contains one set of data for the time of flight: the asymmetry and the asymmetry errors.

[1]See AlphaCalc v1

Usage

Example - Calculating asymmetry:

y = [1,2,3] + [3,1,12]
x = [1,2,3,4] * 2
e = [1,1,1] * 2
input = CreateWorkspace(x, y, e, NSpec=2)

asymmetry = AsymmetryCalc(input, Alpha=0.5)

print('Asymmetry: {}'.format(asymmetry.readY(0)))
print('Errors: {}'.format(asymmetry.readE(0)))

Output:

Asymmetry: [-0.2         0.6        -0.33333333]
Errors: [ 0.5396295   0.69971423  0.28688766]

Categories: Algorithms | Muon

Source

C++ source: AsymmetryCalc.cpp (last modified: 2017-09-05)

C++ header: AsymmetryCalc.h (last modified: 2016-06-07)