We have studied the effect on 2 nd harmonic wavelength modulation spectroscopy of the use of integrating spheres as multipass gas cells. The gas lineshape becomes distorted at high concentrations, as a consequence of the exponential pathlength distribution of the sphere, introducing nonlinearity beyond that expected from the Beer-Lambert law. We have modelled this numerically for methane absorption at 1.651 μm, with gas concentrations in the range of 0-2.5%vol in air. The results of this model compare well with experimental measurements. The nonlinearity for the 2f WMS measurements is larger than that for direct scan measurements; if this additional effect were not accounted for, the resulting error would be approximately 20% of the reading at a concentration of 2.5 %vol methane.
PACS codes07.07.Df sensorschemical 42.62.Fi laser spectroscopy 42.79.-e optical instruments, equipment and techniques 1 IntroductionThe detection and quantification of gas concentrations by measurement of their optical absorption is a technique with great scientific and commercial importance. Many methods have been devised to improve the signal to noise ratio (SNR) of this technique by extending the optical pathlength in gas sample cells. Multipass cells have been designed by White [1] , Herriott et al. [2] and Chernin and Barskaya [3] . As the description suggests, the light makes multiple passes across the cell, ideally without any overlap between beams at the detector. Cavity-enhanced techniques employing high quality dielectric mirrors (with reflectivity in excess of 99.999%) include integrated cavity output spectroscopy, ICOS, also termed cavity enhanced absorption spectroscopy [4] and cavity ringdown spectroscopy, CRDS [5] . Pathlengths of over 10 km can be reached within a physical length of 1 m [5] ). Here, beams are encouraged to overlap and over