Curve fitting Sample Clauses

Curve fitting.Β The signal processing of the recorded laser dispersion spectroscopy signals is performed offline since the user interface for LIBRA has not yet been fully developed. An example of the data retrieved is shown in Figure 8 below, which shows the principal 12CO2 and 13CO2 lines (left to right) near 2296cm-1. A simple Lorentzian line shape model (black curve) is fitted to these lines individually, hence the step in the middle due to the different phase baseline parameters used in the two sections fitted. The fitted line shape model is Lorentzian since an analytic solution to the dispersion is known, which vastly simplifies the process. Although this model only considers collision broadening, the Doppler broadening contribution is a small fraction even at 40 torr(a) pressure used in the optical cell to maximise the dispersion signal. The residuals of the curve fitting are also shown in Figure 8 and are within Β±5% of the peak phase change signal. The curve fit equation used for the dispersion phase signal is: (𝛾2 βˆ’ (π‘₯ βˆ’ πœ”0)2) 0 𝐻(π‘₯) = 𝐴0𝛾 ((π‘₯ βˆ’ πœ” )2 + 𝛾2)2 + 𝐡0 + 𝐡1(π‘₯ βˆ’ πœ”0) Where:
Sample 1
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