Relaxation rate of optically oriented atoms during steady pumping
Igor M. Sokolov
A theory is derived for the relaxation of hyperfine-level populations, which is caused by an interaction of atoms with solid surfaces during steady-state optical pumping. The relaxation rate is found through a joint solution of the optical-pumping equation and the transport equation for the optical radiation. Disorienting surfaces of various geometric configurations are considered: (a) two parallel planes; (b) the lateral surface of a cylinder; and (c) the entire surface of a cylinder: with weak pumping. Numerical values are found for the relaxation rates for Rb--He and Rb--Ar systems under various conditions. Analytic expressions are derived for the limiting cases of strong and weak pumping. The relaxation rate with steady-state pumping differs in most cases of practical importance from the rate given by the Franzen expression (W. Happer, Rev. Mod. Phys. 44, 169 (1972)); the differences are in magnitude, in the pressure dependence, and in the dependence on the size of the system.
Optics and Spectroscopy•Apr 1, 1984•0 citations