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Journal of Optoelectronics·laser

Nonlinear Effect of an Open V-type Two-color Pumping System in the Frequency Up-conversion Regime

Fan Xi

Published Jan 1, 2001• 0 citations
OpenAlex

Abstract

We give a exact nonlinear analytical solution of the steady state in an open V type noninversion lasing system pumped by the two color fields,discuss the conditions of producing lasing without inversion in the limit cases of the strong driving field,and analyze the effect of nonlinearities on the gain,dispersion,population differences between levels and pumping rate threshold of the pumping field in the frequency up conversion regime by the numerical calculation results from the nonlinear analytical solution,study finally the stability of the steady state of the system.

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We give a exact nonlinear analytical solution of the steady state in an open V type noninversion lasing system pumped by the two color fields,discuss the conditions of producing lasing without inversion in the limit cases of the strong driving field,and analyze the effect of nonlinearities on the gain,dispersion,population differences between levels and pumping rate threshold of the pumping field in the frequency up conversion regime by the numerical calculation results from the nonlinear analytical solution,study finally the stability of the steady state of the system.
A nonlinear theory of a noninversion laser of an open three-level system based on electromagnetically induced transparency is given. In this noninversion laser model, a nonselective pumping mechanism is used for obtaining lasing gain such that the population in the lower lasing level is always larger than a half of the total population no matter whether the driving field is on or off. In the lasing region, there is no direct pumping to the upper level. The conditions for the existence of a nontrivial and stable laser field are obtained. The dependence of the laser intensity on the intensity of the driving field and the ratio of the two decay rates from the upper level has been obtained, and the ways to obtain a large laser field have been studied.
Theoretical model of an open four-level atomic system driven by two fields was presented. The density matrix equations of motion were obtained by the electric dipole and the rotating wave approximations. Under resonance of corresponding fields, the physical mechanism of lasing without inversion (LWI) was discussed and its linear analytical solution was obtained. By numerical results, we studied the effects of the spontaneous decay rates between atomic levels, incoherent pump rate, the injection rates, and the exit rate on the gain without inversion and the population difference of the system. The difference between the linear and nonlinear gain and the population difference of the system were discussed. A LWI gain was got during the region of the spontaneous decay rates between atomic levels. The LWI gain can obtain by adjusting suitably incoherent pump rate, the atomic injection ratio and the exit rate. The curves of the linear gain and the nonlinear gain were similar with the Rabi frequencies of the driving fields. The curves of the linear population difference and the nonlinear population difference were similar too. The linear stable value of the gain was larger than the nonlinear stable value of the gain.
With the density matrix equations of motion under the electric dipole and the rotating wave approximations,the mechanism of LWI gain was analyzed.By numerical results,the effects of the Rabi frequencies of the driving fields and nonlinear term on the gain without inversion and the population difference of the system were studied.Theoretical model of an openⅤ-type four-level atomic system was presented.Through calculation,when both the probing and driving fields are resonant,the dispersion equals to zero.A LWI gain was got during the region of Rabi frequencies of the driving fields.The gain was saturated because of nonlinear term.