Abstract
The Arndt formula for Lorentzian signals broadened by modulation is enhanced for the usage on 2f WMS (wavelength modulation spectroscopy) signals produced by spectroscopic lines with high absorption (percent range). Next to the first order approach of the Beer–Lambert law, which is covered by the Arndt formula, a second order term is included for a better approximation of the damped Lorentzian line shape. This second order approximation of the 2f signal can be described by a combination of several components created by the Arndt formula. The error of a pure Arndt evaluation and the improvement of the Arndt extended technique are illustrated in the example of a humidity measurement performed at 100°C and up to 100vol%. The energy transition at ν=10,526.274910cm−1 is used in this setup. With the presented technique, the error is reduced by a factor of 90.
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More From: Journal of Quantitative Spectroscopy and Radiative Transfer
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