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Journal of Physics B Atomic Molecular and Optical Physics

Optimization of sub-Doppler DAVLL on the rubidium D2 line

Margaret Harris, Simon L. Cornish, Ajay Tripathi, Ifan G. Hughes

Published Apr 4, 2008• 50 citations
Publisher

Abstract

We discuss the physics of sub-Doppler DAVLL spectroscopy, which employs a pump beam with an axial magnetic field to induce dichroism in an atomic vapour. The dichroism is measured by a counterpropagating probe beam, while the pump generates sub-Doppler spectral features. The magnitude of the field is chosen to shift the frequency of the absorption features by an amount comparable to their linewidth. The reference signals obtained are ideal for laser frequency discriminant signals (laser 'locking' to the atomic transition) without frequency modulation. We discuss the sensitivity of the spectra to magnetic field, laser power and polarization purity, and suggest operating parameters for the 87 Rb F = 2 → F' = 3, 2 crossover transition which maximize the signal amplitude and gradient.

DOI
10.1088/0953-4075/41/8/085401

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We discuss the physics of sub-Doppler DAVLL spectroscopy, which employs a pump beam with an axial magnetic field to induce dichroism in an atomic vapour. The dichroism is measured by a counterpropagating probe beam, while the pump generates sub-Doppler spectral features. The magnitude of the field is chosen to shift the frequency of the absorption features by an amount comparable to their linewidth. The reference signals obtained are ideal for laser frequency discriminant signals (laser 'locking' to the atomic transition) without frequency modulation. We discuss the sensitivity of the spectra to magnetic field, laser power and polarization purity, and suggest operating parameters for the 87 Rb F = 2 → F' = 3, 2 crossover transition which maximize the signal amplitude and gradient.
We present a comprehensive theoretical and experimental study of the lineshape in sub-Doppler dichroic atomic vapor laser lock (DAVLL) spectroscopy of the D1 transition lines of 87 Rb and 85 Rb atoms. By calculating sub-Doppler DAVLL spectra with both density matrix equations and rate equations, we found that the coherence effect is significantly dependent on the branching ratios of the transition lines. In addition, we investigated the dependence of the amplitude and slope of the spectra on the applied magnetic field and pump beam power, and found good agreement with the results calculated from the rate equations.
A comprehensive study of the dichroic atomic vapour laser lock (DAVLL) lineshapes for the D2 transitions in atomic rubidium is presented. All four Doppler-broadened transitions ( 87 Rb F = 1 → F ', 87 Rb F = 2 → F ', 85 Rb F = 2 → F ' and 85 Rb F = 3 → F ' ) have been studied. We have characterized experimentally the dependence of the DAVLL lineshape on magnetic field, angle of the quarter-wave plate and cell temperature. We discuss the sensitivity of the spectra to these parameters, and highlight optimal operating parameters for use of DAVLL to generate laser frequency discriminant signals (laser 'locking').
A theoretical and experimental study of lineshapes in sub-Doppler DAVLL (dichroic atomic vapor laser lock) spectroscopy for the D lines of Rb atoms was presented. From the calculation of sub-Doppler DAVLL spectra using both density matrix equations and rate equations we found that the coherence effect depended significantly on the branching ratios of the transition lines. We also investigated the dependence of the amplitude and the slope of the spectra on the magnetic field and the pump beam intensity, and found good agreement with the results calculated from the rate equation.
We report the frequency stabilization of a diode laser by applying the dichroic-atomic-vapor laser lock (DAVLL) method to a thin Rb vapor cell. A 1-mm-long Rb vapor cell is used to obtain a sub-Doppler spectrum that is required for frequency locking, which is easier than in the case of using a saturated absorption spectrometer. A 794-nm diode laser is tuned to the Rb D 1 line, and sub-Doppler signals are observed by introducing a pumping beam and a probe beam in a perpendicular direction. We obtain error signals by subtracting the signals of σ+ polarized beams from that of σ- polarized beams in the presence of a magnetic field and stabilized the 794 nm diode laser frequency without modulating laser parameters. The stability of the 794-nm diode laser is evaluated using other independently stabilized diode laser.
We propose and demonstrate pump-probe spectroscopy of rubidium absorption that reveals the sub-Doppler hyperfine structure of the ${}^{5}{\mathrm{S}}_{1/2}\ensuremath{\leftrightarrow}{}^{5}{\mathrm{P}}_{3/2}$ (D2{\mathrm{D}}_{2}D2​) transitions. The counterpropagating pump and probe lasers are independently tunable in frequency, with the probe operating at the single-photon level. The two-dimensional spectrum measured as the laser frequencies are scanned shows fluorescence, Doppler-broadened absorption dips, and sub-Doppler features. The detuning between the pump and probe lasers allows compensation of the Doppler shift for all atomic velocities in the room-temperature vapor, meaning we observe sub-Doppler features for all atoms in the beam. We detail a theoretical model of the system that incorporates fluorescence, saturation effects, and optical pumping and compare this with the measured spectrum, finding a mean absolute percentage error of 3.11%. This high level of agreement allows us to extract the number density and temperature of the Rb\mathrm{Rb}Rb vapor from the two-dimensional spectrum. In the future this technique could be used as an atomic frequency standard for calibrating and characterising a single-photon or low-light-level source.
We study polarization spectroscopy of Rb vapour. A weak probe beam analyses the birefringence induced in a room temperature vapour by a strong counterpropagating circularly polarized pump beam. In contrast to most other work on polarization spectroscopy, we use a polarization beam splitting cube and two detectors (rather than a polarizer and one detector) to analyse the probe beam. The signal is in the form of a derivative of a Lorentzian. For theoretical analysis we study the closed atomic transition 5 2 S 1/2 ( F = 3) → 5 2 P 3/2 ( F ' = 4) in the D2 line of 85 Rb. We study the time needed to redistribute population among the m F states, derive an expression for the expected lineshape and present experimental data in excellent agreement with theory. The polarization spectrum provides an ideal error signal for frequency stabilization of a laser. We describe the geometry and parameters for optimizing the error signal.