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Journal of the Korean Physical Society

Simple Analytical Theory of Saturation and Polarization Spectroscopy of Alkali-metal Atoms by Using Nakayama¡¯s Model

Heung‐Ryoul Noh

Published Dec 15, 2010• 3 citations
Publisher
DOI
10.3938/jkps.57.1381

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This paper presents a simple analytical theory for the velocity-dependent pump-probe laser spectroscopy of 87Rb^{87}\mathrm{Rb}87Rb and 85Rb^{85}\mathrm{Rb}85Rb atoms where the pump and the probe beams are circularly or linearly polarized. The analytical solutions of the line shapes of the velocity-selective optical pumping spectroscopy [G. Moon and H. R. Noh, Phys. Rev. A 78, 032506 (2008)] and saturated absorption spectroscopy [G. Moon and H. R. Noh, J. Opt. Soc. Am. B 25, 701 (2008); 27, 1741 (2010)] obtained in the previous reports, expressed as a sum of several Lorentzian functions, could be approximated as one (or in some cases, two) Lorentzian function(s). In particular, the contributions of the saturation and optical pumping effects could be discriminated explicitly in these simple analytical solutions, which is not possible in existing theories such as Nakayama's model. The simple analytical results for the saturation spectroscopy were compared with experimental results, and good agreement between them was observed.
We realize the linear polarization spectroscopy on the D2 transitions of rubidium atoms and investigate the underlying physics with an analytical theory using the Nakayama model. We demonstrate that the strong birefringence in the rubidium atomic gas is induced by the π light optical pumping, which is distinguished from the conventional PS using circularly polarized light. The theory agrees with the experiment reasonably well, except for the upper hyperfine closed transitions where the saturation plays nontrivial roles. The effects of the misalignment of the polarization optics and the miscalibration of the pump intensity are also discussed.