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Journal of Physics B Atomic and Molecular Physics

Semi-classical theory of the Hanle effect with transverse static and oscillating magnetic fields

David Thomas Pegg, George William Series

Published Apr 1, 1970• 48 citations
Publisher

Abstract

An analysis of the Hanle effect with static and oscillating magnetic fields transverse to the perturbing field predicts modulation of the fluorescent light and anisotropy of the effective g factor.
DOI
10.1088/0022-3700/3/4/014

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Effect of Transverse Pumping in Optical Pumping

Noriaki Tsukada, T. Yabuzaki, Toru Ogawa

A theoretical and experimental study has been made of the effect of transverse optical pumping in the optical-rf double resonance of cesium atoms. The solution of Bloch type equations shows that the Hanle effect and new type resonances become notable in the weak magnetic field or for strong rf field, as the effect of the transverse pumping. The new type resonances appear in the unmodulated component and the components modulated at the first and the second harmonics of the applied rf frequency in the pumping light beam transmitted through the sample cell. It is predicted that the new type resonances are not only shifted but also broadened as the intensity of rf field increases. The shift, broadening and the intensity for observed new type resonances are in good agreement with the theoretical prediction.

Journal of the Physical Society of Japan•Sep 1, 1972•12 citations
Behavior of the optically pumped atoms in the oscillating rf field is analized classically in terms of the macroscopic magnetization, in the case that the static magnetic field has components both parallel and perpendicular to the rf field. The theory predicts that the g -factor is modified by the rf field when the Hanle effect and the parametric resonance take place, and that the effect makes its appearance in the variation of width and maxima of lines of the Hanle effect and the parametric resonance. The modification of the g -factor is also derived by the quantum mechanical treatment. The theoretical predictions are quantitatively verified by the experiments with cesium vapor.
A treatment of resonance fluorescence is given in which the properties of the incident and scattered light are expressed in terms of coherency matrices. Calculations are made for two successive scattering processes corresponding to the experiments described in an accompanying paper. For the first process the scattering atoms are subjected to a magnetic field consisting of parallel static and oscillating components. The fluorescent light is frequency-modulated and may also be polarization-modulated. This light excites fluorescence in a second cell in which the atoms are subjected to a static magnetic field. The equations show under what conditions the second fluorescence is intensity-modulated and describe the resonances in the amplitude of modulation which occur when the modulation frequency matches a Zeeman interval of the excited atoms.
The Hanle effect of the resonance line 326.1 nm (5 1 S 0 -5 3 P 1 ) of Cd has been studied under the influence of a magnetic RF field rotating with frequency omega 0 in a plane perpendicular to the static magnetic field H. This non-resonant RF field causes a shift of the Hanle signal that is large compared with the natural linewidth for strong RF fields. The measured line shifts are in good agreement with the semiclassical theory of Dodd and Series (1961). As predicted by the theory a coherence resonance could be observed near H approximately=-H 0 =- omega 0 / gamma .
A theoretical and experimental study has been made of the effect of transverse optical pumping in the optical-rf double resonance of cesium atoms. The solution of Bloch type equations shows that the Hanle effect and new type resonances become notable in the weak magnetic field or for strong rf field, as the effect of the transverse pumping. The new type resonances appear in the unmodulated component and the components modulated at the first and the second harmonics of the applied rf frequency in the pumping light beam transmitted through the sample cell. It is predicted that the new type resonances are not only shifted but also broadened as the intensity of rf field increases. The shift, broadening and the intensity for observed new type resonances are in good agreement with the theoretical prediction.