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Journal of the Optical Society of Korea

Analytical Study of Polarization Spectroscopy for the Jg=0 → Je=1 Transition

Heung‐Ryoul Noh

Published Jun 25, 2013• 4 citations
Publisher

Abstract

This work presents a theoretical study on the analytical calculation of the lineshape of polarization spectroscopy (PS) for the transition line $5s^2\;^1S_0{\rightarrow}5s5p\;^1P_1$ of $^{88}Sr$ . From the obtained analytical form of the PS spectrum, we were able to identify how the saturation affected the lineshape of the PS spectrum. The results obtained will be useful for polarization spectroscopy experiments using the alkaline-earth atoms such as Sr or Yb.

DOI
10.3807/josk.2013.17.3.279

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This work presents a theoretical study on the analytical calculation of the lineshape of polarization spectroscopy (PS) for the transition line 5s2  1S0→5s5p  1P15s^2\;^1S_0{\rightarrow}5s5p\;^1P_15s21S0​→5s5p1P1​ of 88Sr^{88}Sr88Sr . From the obtained analytical form of the PS spectrum, we were able to identify how the saturation affected the lineshape of the PS spectrum. The results obtained will be useful for polarization spectroscopy experiments using the alkaline-earth atoms such as Sr or Yb.
We present accurate analytical solutions of the lineshapes of birefringence (rotation) and dichroism (absorption) spectroscopy for a circular anisotropic medium composed of atoms of the transition Jg=0→Je=1J_g=0{\rightarrow}J_e=1Jg​=0→Je​=1 . The susceptibility of a weak probe beam was analytically calculated and was averaged over a Maxwell-Boltzmann velocity distribution. The lineshapes of the two spectroscopies were then presented in analytical forms at arbitrary values of the linewidths of the inhomogeneous (Doppler) broadening and the homogeneous (natural) broadening of the atoms.
By varying the density of an ultracold 88Sr^{88}\mathrm{Sr}88Sr sample from 109{10}^{9}109 to$>{10}^{12}\text{ }\text{ }{\mathrm{cm}}^{\ensuremath{-}3}$, we make the first definitive measurement of the density-related frequency shift and linewidth broadening of the $^{1}S_{0}\mathrm{\text{\ensuremath{-}}}^{3}P_{1}$ optical clock transition in an alkaline earth system. In addition, we report the most accurate measurement to date of the 88Sr^{88}\mathrm{Sr}88Sr $^{1}S_{0}\mathrm{\text{\ensuremath{-}}}^{3}P_{1}$ optical clock transition frequency. Including a detailed analysis of systematic errors, the frequency is $[434\text{ }\text{ }829\text{ }\text{ }121\text{ }\text{ }312\text{ }\text{ }334\ifmmode\pm\else\textpm\fi{}20(\mathrm{stat})\ifmmode\pm\else\textpm\fi{}33(\mathrm{syst})]\text{ }\text{ }\mathrm{Hz}$.
We present a theoretical and experimental study of polarization spectroscopy of rubidium atoms. All of the populations of the magnetic sublevels were calculated from the rate equations and used in the calculation of the polarization spectroscopy spectra. Using this model, we could generate theoretical line shapes of the polarization spectra on the D2{D}_{2}D2​ transitions of rubidium atoms. The experimental results demonstrated that our model accurately reproduced spectra for all transitions in hyperfine structures.
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.