Power-dependent line-shape corrections for quantitative spectroscopy

Thomas M. Stace, Gar-Wing Truong, James Anstie, Eric F. May, and André N. Luiten
Phys. Rev. A 86, 012506 – Published 17 July 2012

Abstract

The Voigt profile—a convolution of a Gaussian and a Lorentzian—accurately describes the absorption lines of atomic and molecular gases at low probe powers. Fitting experimental absorption data to such a Voigt profile yields both the Lorentzian natural linewidth and the Gaussian Doppler broadening. However, as the probe power increases, saturation effects change the absorption line shape, such that it is no longer accurately described by a Voigt profile. Naively fitting a simple Voigt profile to the absorption line therefore introduces spurious power dependence into the extracted Doppler component. Using a simple atomic model, we calculate power-dependent corrections to the Voigt profile, which are parametrized by the Gaussian Doppler width, the Lorentzian natural linewidth, and the optical depth. We show numerically and experimentally that including the correction term substantially reduces the spurious power dependence in the fitted Gaussian width.

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  • Received 20 February 2012

DOI:https://doi.org/10.1103/PhysRevA.86.012506

©2012 American Physical Society

Authors & Affiliations

Thomas M. Stace1, Gar-Wing Truong2, James Anstie2, Eric F. May3, and André N. Luiten2,4

  • 1ARC Centre for Engineered Quantum Systems, University of Queensland, St Lucia, Brisbane 4072, Australia
  • 2Frequency Standards and Metrology Group, School of Physics, The University of Western Australia, 35 Hackett Drive, Crawley WA 6009, Australia
  • 3Centre for Energy, School of Mechanical and Chemical Engineering, The University of Western Australia, 35 Hackett Drive, Crawley WA 6009, Australia
  • 4School of Physics and Chemistry, The University of Adelaide, Adelaide, South Australia 5005, Australia

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Vol. 86, Iss. 1 — July 2012

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