Finally a quadratic term was fitted for the background of the image, which has the equation:
These are plotted below
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The quadratic can be seen to improve the fit to the background of the data as shown below:
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The three different fits produced parameter values of:
Parameters
Gaussian + circle
Skewed Gaussian + Circle
Skewed Gaussian + circle + Quadratic background
Line: 76 to 76
Both of these fits are shown with the data in the plot below:
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Paramater
Skewed Gaussian + Circle + Quadratic Background
Voigt + Circle + Quadratic Background
Gauss Amp
1.077
-1.48±(1.39e05)
Line: 122 to 122
per dof
1587
968
969
Some of the grating setting are shown below
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Halogen Lamp
For the halogen lamp the above fit parameters were used to set the wavelength of each frame, these were then plotted as shown below:
The below plot shows the linear and squared plots and it can clearly be seen to improve at larger and smaller wavelengths, however not much change in the center.
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When the cubed parameters were used, the plot did no seem to improve, as the image shows
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This may be due to an incorrect point which the cubed plot fits better to however is further from the true value