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Laser Physics

Steady-state multipole moments of atoms in a resonant field with elliptical polarization

А. В. Тайченачев, M. Yu. Basalaev, Д. Б. Лазебный, Valeriy I. Yudin

Published May 29, 2014• 2 citations
Publisher

Abstract

Steady-state multipole moments of atoms ρK q of the rank K ≤ 2 are analytically calculated for all closed dipole transitions Jg → Je in a resonant radiation field with arbitrary intensity and arbitrary elliptical polarization. The nonlinear propagation of a monochromatic elliptically polarized wave through a medium consisting of atoms with resonant transition Jg → Je is considered as an application.

DOI
10.1088/1054-660x/24/7/074003

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Steady-state multipole moments of atoms ρK q of the rank K ≤ 2 are analytically calculated for all closed dipole transitions Jg → Je in a resonant radiation field with arbitrary intensity and arbitrary elliptical polarization. The nonlinear propagation of a monochromatic elliptically polarized wave through a medium consisting of atoms with resonant transition Jg → Je is considered as an application.
We present a complete set of analytical and invariant expressions for the steady-state density matrix of atoms in a resonant radiation field with arbitrary intensity and polarization. The field drives the closed dipole transition with arbitrary values of the angular momenta Jg{J}_{g}Jg​ and Je{J}_{e}Je​ of the ground and excited state. The steady-state density matrix is expressed in terms of spherical harmonics of a complex direction given by the field polarization vector. The generalization to the case of broadband radiation is given. We indicate various applications of these results.
The interaction of elliptically polarized radiation with a resonant medium consisting of atoms with an excited state split into a doublet was studied theoretically. Interference terms associated with the coherent interaction of the field with the excited sublevels of the doublet were found to appear in the refractive index. The dispersion dependence of the refractive index was studied. It was shown that the decay constants for the multipole moments of the current of a dipole-forbidden atomic transition can be determined by the choice of the wave polarization.