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Symmetry 2016, 8(3), 17; https://doi.org/10.3390/sym8030017

Analytical Solutions of Temporal Evolution of Populations in Optically-Pumped Atoms with Circularly Polarized Light

Department of Physics, Chonnam National University, Gwangju 500-757, Korea
Academic Editor: Young Suh Kim
Received: 10 December 2015 / Revised: 22 February 2016 / Accepted: 14 March 2016 / Published: 19 March 2016
(This article belongs to the Special Issue Harmonic Oscillators In Modern Physics)
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Abstract

We present an analytical calculation of temporal evolution of populations for optically pumped atoms under the influence of weak, circularly polarized light. The differential equations for the populations of magnetic sublevels in the excited state, derived from rate equations, are expressed in the form of inhomogeneous second-order differential equations with constant coefficients. We present a general method of analytically solving these differential equations, and obtain explicit analytical forms of the populations of the ground state at the lowest order in the saturation parameter. The obtained populations can be used to calculate lineshapes in various laser spectroscopies, considering transit time relaxation. View Full-Text
Keywords: second-order differential equations; optical pumping; analytical solutions; 02.30.Hq; 32.80.Xx; 32.30.-r second-order differential equations; optical pumping; analytical solutions; 02.30.Hq; 32.80.Xx; 32.30.-r
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Noh, H.-R. Analytical Solutions of Temporal Evolution of Populations in Optically-Pumped Atoms with Circularly Polarized Light. Symmetry 2016, 8, 17.

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