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Journal of Optoelectronics·laser

Nonlinear Theory of an Open V-type System with a monochromatic Incoherent Pump

Fan Xi-jun

Published Jan 1, 2000• 0 citations
OpenAlex

Abstract

We gave the nonlinear theory of invers ionless lasing of frequency up-conversion in an open V-type system with a mon o chromatic incoherent pump.We studied the effects of the Rabi frequencies of the driving fields,the injection rates,the exit rate,the decay rates between atomic levels,as well as incoherent pump rate on the gain without inversion,dispersion and the population difference of the system,and discussed the stability of the g ain without inversion.

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WT5”BZ]:In this paper we gave the nonlinear theory of lasing without inversion in an open simple three level atomic system.We studied the effects of the Rabi frequencies of the probe and the driving fields,the injection rates,the exit rate,as well as the decay rates between atomic levels on the gain without inversion,the population difference and the coherence term of the system,and discussed the stability of the gain without inversion. [WT5”HZ]

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An exact nonlinear analytical solution of an open V-type inversionless lasing system with two incoherent pump fields, off-resonant driving and probe fields is given. Through qualitative and quantitative comparison of the gain, dispersion and population differences of the linear and nonlinear cases, some conclusions concerning the Rabi frequencies of the driving and the probe fields are drawn and discussed in detail.

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Time Evolution of Atomic Response in an Open V-type System with Two-color Pumps

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The law of time evolution of atomic response in an open V type lasing without inversion (LWI) system with two incoherent pumps is investigated by the numerical results.Following conclusions are shown:the time evolution of the populations of the two levels coupled by the probe field has the same oscillation frequency,however,exists a phase difference π;the initial values of the populations affect mainly the oscillation amplitudes of the gain,coherent item and population difference but dont affect their values in the steady state;the ratio of the atomic injection rates increasing will results in an increase of the gain and a decrease of the population difference in the steady state;the atomic exit rate increasing will make both the gain and population difference in the steady state decreasing.

Journal of Optoelectronics·laser•Jan 1, 2002•0 citations
We gave the nonlinear theory of invers ionless lasing of frequency up-conversion in an open V-type system with a mon o chromatic incoherent pump.We studied the effects of the Rabi frequencies of the driving fields,the injection rates,the exit rate,the decay rates between atomic levels,as well as incoherent pump rate on the gain without inversion,dispersion and the population difference of the system,and discussed the stability of the g ain without inversion.
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.
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.
The law of time evolution of atomic response in an open V type lasing without inversion (LWI) system with two incoherent pumps is investigated by the numerical results.Following conclusions are shown:the time evolution of the populations of the two levels coupled by the probe field has the same oscillation frequency,however,exists a phase difference π;the initial values of the populations affect mainly the oscillation amplitudes of the gain,coherent item and population difference but dont affect their values in the steady state;the ratio of the atomic injection rates increasing will results in an increase of the gain and a decrease of the population difference in the steady state;the atomic exit rate increasing will make both the gain and population difference in the steady state decreasing.