slmsuite.misc.fitfunctions.lorentzian
- lorentzian(x, x0, a, c, Q)[source]
For fitting an offset resonance.
\[y(x) = c + \frac{a}{1 + \left[\frac{x - x_0}{x_0/2Q}\right]^2}.\]\(Q\) is the quality factor of the resonance.
- Parameters
x (numpy.ndarray) – Points to fit upon.
x0 (float) – Center wavelength.
a (float) – Amplitude.
c (float) – constant offset.
Q (float) – Quality factor.
- Returns
y – Lorentzian fit evaluated at all
x
.- Return type
numpy.ndarray