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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 87Rb and 85Rb 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.

We present an analytical study of the Doppler averaging of the susceptibility in pump-probe laser spectroscopy in an atomic vapor in the Doppler limit. Approximate analytical solutions of the susceptibility were obtained in the Doppler limit for the case when the homogeneous susceptibility has two different resonances in the Maxwell-Boltzmann velocity distribution and the detunings of the laser frequencies are not much smaller than the Doppler linewidth. The results were then applied successfully to a simple example of pump-probe laser spectroscopy for two-level atoms.

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