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Chinese Physics

A nonlinear analytical and numerical study for an open system with coherent off-resonance fields

Fan Xijun, Ping Li, Tian Shu-fen, Junliang Zhang, Chengpu Liu

Published Jun 20, 2001• 7 citations
Publisher

Abstract

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.

DOI
10.1088/1009-1963/10/7/306

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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.
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In an open V-type system,by numerical results of differential equations,the physical mechanism of laser without inversion(LWI) was analyzed,and the effects of the probe and driving fields detunings, the Rabi frequencies of the driving fields,and the initial values of the populations on LWI transient were discussed.The conclusions show that the populations of the two levels coupled by the driving field have the same oscillation frequency,however,exist a phase differenceπ.The dispersion equals to zero and two- photon coherent item is real number when the driving and the probe fields are both resonant.Oscillation period of the gain,coherent item and population difference reduce with the increase of the Rabi frequencies of the driving field.The initial vaiues of the populations mainly affect the oscillation amplitudes of the gain, coherent item and population difference but don't affect their values in the steady state.