Correcting photodetector nonlinearity in dual-comb interferometry
Philippe Guay, Nicolas Bourbeau H\'ebert, Alex Tourigny-Plante, and Vincent Michaud-Belleau, J\'er\^ome Genest

TL;DR
This paper presents an iterative algorithm to correct photodetector nonlinearity in dual-comb spectroscopy, significantly improving signal-to-noise ratio and measurement accuracy by reducing spectral artifacts and saturation errors.
Contribution
It introduces a novel iterative correction method adapted from classical spectrometry techniques to address nonlinearity in dual-comb detection systems.
Findings
Enhanced signal-to-noise ratio in dual-comb measurements.
Effective correction of detector saturation effects.
Validation with H$^{12}$CN lines showing residuals limited by noise.
Abstract
Photodetector nonlinearity, the main limiting factor in terms of optical power in the detection chain, is corrected to improve the signal-to-noise ratio of a short-time measurement in dual-comb spectroscopy. An iterative correction algorithm minimizing out-of-band spectral artifacts based on nonlinearity correction methods used in classical Fourier-transform spectrometers is presented. The exactitude of the nonlinearity correction is validated using a low power linear measurement. Spectroscopic lines of HCN are provided and the error caused by the saturation of the detector is corrected yielding residuals limited by the measurement noise.
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