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Wavelength modulation absorption spectrometry from optically saturated collision-broadened transitions

Authors
Journal
Journal of Quantitative Spectroscopy and Radiative Transfer
0022-4073
Publisher
Elsevier
Publication Date
Volume
94
Issue
2
Identifiers
DOI: 10.1016/j.jqsrt.2004.09.010
Keywords
  • Wavelength Modulation
  • Diode Laser
  • Absorption Spectrometry
  • Wms
  • Wmas
  • Optical Saturation
  • Bleaching

Abstract

Abstract A theoretical investigation of the influence of optical saturation on wavelength modulation absorption spectrometry (WMAS) signals from collision-broadened transitions is presented. Expressions are derived for the nth Fourier coefficient of the analytical detector signal, and thereby also for the nth harmonic signal from a WMAS instrumentation (i.e. the nf-WMAS signal), from a wavelength modulated collision-broadened transition exposed to optical saturation. The flux- (or irradiance-) and modulation-amplitude dependences of the nf-WMAS signal on resonance are scrutinized in detail. It is shown that the nth Fourier coefficient of the wavelength modulated analytical detector signal from an optically saturated collision-broadened transition can be written as a product of a flux-dependent ( φ ) bleaching function, given by ( 1 + φ / φ sat ) - 1 and identical to that appearing for ordinary, unmodulated absorption spectrometry (AS), and a flux-, detuning-, and modulation-amplitude-dependent wavelength modulated peak-normalized saturation-broadened Lorentzian lineshape function, specific for the WMAS technique. It is found that the nf-WMAS signal on resonance decreases faster than an ordinary AS signal as a function of laser flux when smaller-than-optimum modulation amplitudes are used, but slower when larger-than-optimum modulation amplitudes are used. When optimum (or close-to-optimum) modulation amplitudes are being used, on the other hand, the flux dependence of the WMAS signal resembles to a large degree that of ordinary AS. The conditions for when WMAS from collision-broadened transitions has the same flux dependence as ordinary AS are identified.

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