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Journal of Physics B Atomic Molecular and Optical Physics

Non-linear Faraday rotation on simple transitions in samarium vapour

P. E. G. Baird, M Irie, T D Wolfenden

Published Jun 14, 1989• 16 citations
Publisher

Abstract

New results demonstrating the dramatic changes to the form and magnitude of the resonant Faraday rotation with laser intensity, buffer gas pressure and magnetic field strength are presented for the transitions 4f 6 6s 2 7 F 0 -4f 6 6s6p 5 D 1 at 621 nm and 4f 6 6s 2 7 F 1 -4f 6 6s6p 5 D 0 at 654 nm. For both transitions, exact analytical solutions to the steady-state density matrix equations are possible and have been used. The experimental results show good qualitative agreement with the theoretical predictions. In the case of the 654 nm line Zeeman coherence occurs in the ground state and can be achieved at lower laser intensities than for the 621 nm line under comparable conditions.

DOI
10.1088/0953-4075/22/11/008

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New results demonstrating the dramatic changes to the form and magnitude of the resonant Faraday rotation with laser intensity, buffer gas pressure and magnetic field strength are presented for the transitions 4f 6 6s 2 7 F 0 -4f 6 6s6p 5 D 1 at 621 nm and 4f 6 6s 2 7 F 1 -4f 6 6s6p 5 D 0 at 654 nm. For both transitions, exact analytical solutions to the steady-state density matrix equations are possible and have been used. The experimental results show good qualitative agreement with the theoretical predictions. In the case of the 654 nm line Zeeman coherence occurs in the ground state and can be achieved at lower laser intensities than for the 621 nm line under comparable conditions.
The authors have observed dramatic changes in both the magnitude and the lineshape of Faraday rotation on an allowed E1 transition in Sm I (4f 6 6s 2 7 F 0 -4f 6 6s6p 7 G 1 ) as a function of laser intensity and buffer-gas pressure. The effect is ascribed to the development of optical and Zeeman coherences and a theoretical treatment, based on the solution of steady-state density matrix equations is given. Effects of optical pumping on the odd isotopes 147 Sm and 149 Sm, both with I=7/2, are also considered.
The Faraday rotation spectra in the Rabi regime were studied in krypton to investigate the behavior of a Zeeman coherence effect. At a laser intensity of 2.5 mW and a magnetic field of 3.4 mT, we determined a single-peaked line profile having a Gaussian form. Using the density matrix formalism, we have obtained an analytical form for the line shape and compared it with the observed ones. It is found that the line profile at a low magnetic field is mainly the contribution of the Zeeman coherence effect.
The Faraday rotation spectra were observed at 810.4 nm of the 5s 12–5p 22 transition in atomic krypton using a single mode diode laser. The lineshapes at the resonance were changed largely with laser intensity. At a low laser intensity the lineshape is a normal form of the differential of a dispersion curve. As the laser intensity increases, a Gaussian curve appears, overlapping the normal curve. At a sufficiently high laser intensity, the Gaussian component dominates the latter. The spectral change is ascribed to the development of optical and Zeeman coherence.
Nonlinear in laser power, near-resonant light-atom interaction leads to a number of spectacular modifications of a well-known effect -polarization plane rotation in a magnetic field applied along the direction of light propagation.In particular, the rotation can be enhanced by up to nine orders of magnitude compared to the linear case.Faraday effect [ 1 ] is the rotation of the plane of linear light polarization by a medium in a magnetic field applied in the direction of light propagation.In 1898, Macaluso and Corbino eJ, studying absorption spectra of the alkali atoms in the presence of magnetic fields, discovered that the Faraday effect in the vicinity of resonance absorption lines also had a distinct resonant character.The essence of the Macaluso-Corbino effect can be illustrated by considering a simple case of a F= 1 ~ F'=O transition (Fig. 1 ).Linearly polarized light incident on the sample can be resolved into two counter-rotating circular components ( cr~.In the absence of a magnetic field, the M=±l sublevels are degenerate and the optical resonance
The nonlinear resonance Faraday effect is studied under the condition of coherent population trapping in 87 Rb vapor at the D 1 -line F =2→ F ′=1 transition. The influence of transverse magnetic fields on the nonlinear optical Faraday rotation is studied. For the transverse fields perpendicular to the electromagnetic-wave polarization, a simple theoretical model is proposed, which is in good agreement with experimental data. The optimal intensity providing the maximum sensitivity is found based on the results obtained. The influence of working-level depletion on the parameters of Faraday rotation in open systems is studied experimentally and theoretically. The system was closed in the experiment by using an additional laser to increase the sensitivity and extend the dynamic range of measured fields. The importance of compensating for the depletion in the presence of spurious magnetic fields is shown; in particular, the sensitivity was enhanced by a factor of 50 in experiments with a buffer gas.