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Zeeman Spectra of the Cs-D2 Line

Isao Hirano

Published Oct 1, 1990• 0 citations
OpenAlex

Abstract

Abstract Zeeman spectra of the Cs- D 2 line are studied as a function of laser frequency for a static magnetic field. The spectral profiles change drastically with the angle between the plane of polarization of the incident, linearly-polarized laser beam and that of the analyzer. The theoretical spectra, allowing for polarizability, are in good agreement with the experimentally determined profiles for arbitrary angles.

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Japanese Journal of Applied Physics•Nov 1, 1994•3 citations
Abstract Zeeman spectra of the Cs- D 2 line are studied as a function of laser frequency for a static magnetic field. The spectral profiles change drastically with the angle between the plane of polarization of the incident, linearly-polarized laser beam and that of the analyzer. The theoretical spectra, allowing for polarizability, are in good agreement with the experimentally determined profiles for arbitrary angles.
A general equation is constructed for the magneto-optical spectra of the forward-scattered light observed through an analyzer when an absorption cell in a homogeneous magnetic field is illuminated by a linearly polarized laser beam at an arbitrary angle to the field direction. The Faraday effect and the Voigt effect are deduced as special solutions of this general equation. For the case of Voigt geometry, \ensuremath{\pi}-polarized light whose plane of polarization is parallel to the applied magnetic field gives a simple absorption profile. \ensuremath{\sigma}-polarized light oscillating perpendicularly to the static magnetic field contains an interference term between right and left circularly polarized light as well as absorption terms. For these eigenwaves (\ensuremath{\pi},\ensuremath{\sigma}) for the Voigt effect, the spectral shapes are independent of the angle of the analyzer, only their intensity is modified by the angle. For the general case, experimental results for cesium vapor and theoretical spectra show good agreement.
The resonant magneto-optic spectra of the Rb D2 transition in the Voigt configuration was measured by using a tunable, narrow-band, single-mode GaAlAs diode laser. The elliptically polarized laser beam with a small ellipticity Δα was incident upon Rb vapor in a transverse magnetic field of 0.75 T. The polarization change caused by magnetically induced optical anisotropy was analyzed with a birefringent prism placed behind the sample with a small offset angle Δθ from the perfectly crossed direction. The Voigt-effect signal had a Zeeman splitting of 50 GHz. The spectral intensity distribution of the signal, determined by the interference between the hyperfine components of 85Rb and 87Rb, was dependent on Δα, Δθ, and the number density of atoms. The theoretical prediction1 for the Voigt-effect line profiles for various Δα and Δθ agreed with the experimental result. The minimum detectable density of Rb atoms was limited by statistical fluctuations of photon counts.
A general equation is constructed for magneto-optical spectra. The incident laser beam has an arbitrary polarization and its direction is arbitrary relative to the magnetic field. The analyzer has an arbitrary extinction ratio function. The Faraday and Voigt formulas are deduced as special solutions. From the generalized Faraday formula, the absorption spectra of ${\mathrm{\ensuremath{\sigma}}}^{+}$ and ${\mathrm{\ensuremath{\sigma}}}^{\mathrm{\ensuremath{-}}}$ light are measured without influence of the birefringence. The circular dichroism is estimated. The measured spectra clearly show the frequency shifts of ${\mathrm{\ensuremath{\sigma}}}^{+}$ and ${\mathrm{\ensuremath{\sigma}}}^{\mathrm{\ensuremath{-}}}$ light. The magnitude of the shift for a magnetic field of 0.015 T is twice as large as the Doppler width for the Cs D2{\mathit{D}}_{2}D2​ line. These shifts are induced by the Larmor precession defined by the fine-structure g factor. The Larmor precession does not induce a real shift of Zeeman levels, but induces a phase shift of optical coherence through the Rabi frequency.
The line shape of the saturated absorption spectra of the 133Cs D2 line was examined. In particular, the resonance signal for the transition from 6S1/2, F=4 to 6P3/2, F ′=5 was carefully examined and found to be very sensitive to the saturating beam intensity and magnetic field, which was due to the population redistribution of the ground hyperfiue level. When the polarizations of the saturating and probing beams were linear and their directions were parallel, even the chage of sign was observed. The magnitude and linewidth of the signal were controlled by adjusting the saturating beam intensity and the magnetic field as well as the laser polarization.