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Spectral line profile of an inhomogeneously broadened transition in the presence of a strong field that homogeneously broadens an adjacent transition

L. T. Bolotskikh, A. K. Popov

Published Mar 1, 1975• 0 citations
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Shape of the amplification line corresponding to an adjacent transition in a strong field

T. Ya. Popova, A. K. Popov

arXiv:quant-ph/0005049•Russian Physics Journal•Nov 1, 1970•9 citations
An analytical expression is found for the profile of Bennett hole with different level lifetimes under strong field and weak collisions. The expression is valid while the diffusion and field broadening being more than the homogeneous one, but less than the thermal width. It is shown that the square of the total width being equal to the sum of the squares of the diffusion and field widths. The shape of saturation curve is calculated including weak collisions. The formula obtained describes the smooth transition from homogenous to inhomogeneous saturation throughout the new intermediate region. Probe-field spectrum of the three-level system is computed in the presence of the strong field at the adjacent transition. The Autler-Townes doublet components are shown to broaden and repel each other under the collisions. The main reason of both the effects occurs to be the diffusion of phase due to quadratic frequency shift.
An exact semiclassical solution to the problem of the simultaneous propagation of weak and strong pulses interacting with adjacent transitions of a three-level V-scheme was found. The homogeneous and inhomogeneous broadening of the absorption lines of a gaseous medium was examined. It was shown that the computational formulas are suitable for any profile and area under the strong pulse, although numerical calculations were performed for a 2π pulse. The results were compared with those obtained by integration of the system of equations for the density matrix (carried out in the τ 3 ≪ τ 1 approximation, where τ 3 and τ 1 are the durations of the weak and strong pulses, respectively) and also with a theoretical estimate. A qualitative explanation of the phenomenon mentioned above was proposed.
Homogeneous and inhomogeneous spectral linewidths of the ${(}^{2}{F}_{5/2}{)}_{1}\ensuremath{-}{(}^{2}{F}_{7/2}{)}_{1}$ transition in Yb3+{\mathrm{Yb}}^{3+}Yb3+-doped fluorozirconate glasses are determined by fitting Voigt profiles to the inhomogeneously broadened emission and absorption spectra between 10 and 300 K. The homogeneous linewidth varied as $(12\ifmmode\pm\else\textpm\fi{}2)\ifmmode\times\else\texttimes\fi{}{T}^{(1.9\ifmmode\pm\else\textpm\fi{}0.1)}\mathrm{MHz}$ for emission and $(10\ifmmode\pm\else\textpm\fi{}1)\ifmmode\times\else\texttimes\fi{}{T}^{1.9\ifmmode\pm\else\textpm\fi{}0.1}$ for absorption over the entire temperature range, similar to that of other rare-earth-doped systems previously studied by fluorescence line narrowing and photon echoes. The inhomogeneous linewidths were nearly independent of temperature, but different by $\ensuremath{\sim}30%$ between emission and absorption. The structural and dynamic properties in this disordered system are discussed.