Photonic resonator analyzer and characterizing a photonic resonator

A photonic resonator analyzer for characterizing a photonic resonator, the photonic resonator analyzer comprising:

• a light source that provides a probe light;
• a photonic resonator in optical communication with the light source and that receives the probe light from the light source and produces product light from the probe light;
• an optical detector in optical communication with the photonic resonator and that receives the product light from the photonic resonator and that produces a product signal from the product light;
• a mode analyzer in communication with the optical detector and that receives the product signal from the optical detector and produces a resonator spectrum from the product signal, the resonator spectrum comprising:
• a plurality of mode features, each mode feature individually comprising:
• a primary spline comprising a primary slope;
• a secondary spline comprising a secondary slope;
• and
• a mode peak spectrally interposed between the primary spline and the secondary spline;
• and
• a modal width that is a full width at half maximum of the mode feature from the primary spline to the secondary spline,
• such that mode peaks of adjacent mode features are spectrally separated by a mode distance and a spectrum valley;
• and
• a spectral analyzer in communication with the mode analyzer and that:
• receives the resonator spectrum from the mode analyzer,
• analyzes the resonator spectrum by:
• producing a modal kurtosis by normalizing the primary slope to the secondary slope;
• and
• producing a fringe visibility by normalizing the mode peak to the modal width;
• and
• performs regression by:
• fitting a non-parametric model to the resonator spectrum, wherein the spectrum valley, the mode peak, primary spline, secondary spline, modal width, mode distance, primary slope, secondary slope, and modal kurtosis are fitting parameters of the non-parametric model;
• and
• produces a thermal response function of the photonic resonator from fitting the non-parametric model to the resonator spectrum to characterize the photonic resonator.