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The accuracy of quantitative absorption spectroscopy depends on correctlydistinguishing molecular absorption signatures in a measured transmissionspectrum from the varying intensity or "baseline" of the light source. Baselinecorrection becomes particularly difficult when the measurement involvescomplex, broadly absorbing molecules or non-ideal transmission effects such asetalons. We demonstrate a technique that eliminates the need to account for thelaser intensity in absorption spectroscopy by converting the measuredtransmission spectrum of a gas sample to a modified form of the time-domainmolecular free induction decay (m-FID) using a cepstral analysis techniquedeveloped for audio signal processing. Much of the m-FID signal is temporallyseparated from and independent of the source intensity, and this portion can befit directly with a model to determine sample gas properties without correctingfor the light source intensity. We validate the new approach in several complexabsorption spectroscopy scenarios and discuss its limitations. The technique isapplicable to spectra obtained with any absorption spectrometer and provides afast and accurate approach for analyzing complex spectra.

Baseline-free Quantitative Absorption Spectroscopy Based on Cepstral Analysis