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Radiation Damping and Polarization of Fluorescent Radiation.

Irving S. Lowen

Published Jan 1, 1934• 0 citations
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If the distance between two or more energy levels is comparable to their natural breadth, the levels cease to act independently. The coupling between the levels is then describable by means of a "damping constant matrix." The usual discussions concern themselves with a diagonal damping constant. Below a systematic treatment of emission, absorption and fluorescence is given without this restriction and it is shown how in general the frequencies of emission lines are affected by this radiation coupling. The theory is applied to the calculation of the polarization of fluorescence radiation. It is shown that the coupling state of the lower group of levels of the fluorescence line does not influence the polarization. Results of detailed calculations are given for the polarization of $\mathrm{H}\ensuremath{\alpha}$ excited by absorption of the second line of the Lyman series.
Atom radiation in a squeezed thermal reservoir is studied. We show that, as in the case of a squeezed vacuum reservoir, the two quadratures of the atomic polarization are damped at different rates. When the atom is driven by a coherent field, we find that the steady-state polarization depends on the relative phase of the squeezing and the driving field. However, this phase dependence becomes less pronounced when the number of thermal photons increases. The fluorescent spectrum is calculated in the strong-driving-field limit by employing the secular approximation. Properties of the spectrum and the possibility of a subnatural linewidth are investigated.