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Journal of Optoelectronics·laser

Two Kinds of Time Evolution in an Open V-type Inversionless Lasing System

LI Jing-juan, Chengpu Liu

Published Jan 1, 2005• 0 citations
OpenAlex

Abstract

Begin with the density matrix equations of motion under the conditions of the rotating wave,slowly varying amplitude and mean field approximations,by using the numerical calculation results,the time evolution laws of the probe laser field and populations corresponding to two cases in producing inversionless lasing (i.e.,through the Pitchfork bifurcation giving rise to continuous wave lasing emission and through the Hopf bifurcation giving rise to self-pulsing lasing emission) in an open V-type resonant system are studied,and the effects of the system parameters varying on the time evolution laws are discussed.

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Journal of Shandong Jiaotong University•Jan 1, 2010•0 citations
Begin with the density matrix equations of motion under the conditions of the rotating wave,slowly varying amplitude and mean field approximations,by using the numerical calculation results,the time evolution laws of the probe laser field and populations corresponding to two cases in producing inversionless lasing (i.e.,through the Pitchfork bifurcation giving rise to continuous wave lasing emission and through the Hopf bifurcation giving rise to self-pulsing lasing emission) in an open V-type resonant system are studied,and the effects of the system parameters varying on the time evolution laws are discussed.
A way resulting in lasing without inversion (LWI) in an open resonant A-type system from a nonlinear dynamics viewpoint is investigated. The destabilization of the non-lasing solution can occur not only through pitchfork bifurcation, giving rise to continuous wave LWI, but also through Hopf bifurcation,giving rise to self-pulsing LWI. This is much different from that of the corresponding closed resonant A-type system in which the destabilization of the non-lasing solution can occur only through pitchfork bifurcation. The effects of the unsaturated gain coefficient, cavity loss coefficient, atomic injection and exit rates on the two bifurcations are discussed.
A way resulting in lasing without inversion (LWI) in an open resonant ?-type system from a nonlinear dynamics viewpoint is investigated. The destabilization of the non-lasing solution can occur not only through pitchfork bifurcation, giving rise to continuous wave LWI, but also through Hopf bifurcation, giving rise to self-pulsing LWI. This is much different from that of the corresponding closed resonant ?-type system in which the destabilization of the non-lasing solution can occur only through pitchfork bifurcation. The effects of the unsaturated gain coefficient, cavity loss coefficient, atomic injection and exit rates on the two bifurcations are discussed.
Lasing without inversion is investigated from a nonlinear dynamics viewpoint for the open resonant lower-ladder and V systems. We find that, for the two systems, destabilization of the non-lasing solution can occur through pitchfork bifurcation, giving rise to continuous-wave lasing emission, and also through Hopf bifurcation, giving rise to self-pulsing lasing emission. This conclusion is very different from that obtained from the corresponding closed systems by Mompart in 1998. The effects of the gain parameter, damping rate, ratio of the atomic injection rates and atomic exit rate on the two types of destabilization are also analysed.
The transverse effect of the fields was studied by densitymatrix equations of motion in an open Vtype system and Hurwitz criteria.The result shows that comparing with the case in the plane wave approximation,the transverse profile of the field leads to an obvious variation of the fashion that the system obtains inversionless lasing through instability of nonlasing solution,and makes the system more easy to obtain inversionless lasing through instability of pitchfork bifurcation;the value of the ratio of the active medium transverse section to the beam waist has a determinant effect on size of the instability region in which inversionless lasing arises,and the Raman inversion region increases with increasing of value of the ratio;the effects of unsaturated gain,loss of laser cavity,the ratio of atomic injection rates and atomic exit rate varying on the instability region in which inversionless lasing arises are much different from that in the plane wave approximation case.
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.