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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Lasing without inversion in a polymer optical nonlinear system

Tingwan Wu, Yunjun Yu, Wenbo Huang

Published Jun 15, 2001• 0 citations
Publisher

Abstract

This paper studies the characteristics of the nonlinear optical system in a model, which may be considered as that containing conjugate polymer, such as polydiacetylense. The dynamic equations are established through the approach of density matrix elements. The parameter conditions of laser and lasing without inversion (LWI) are discussed and the thresholds of pumping and probing fields to produce LWI are determined. The nonlinear susceptibility of the system is deduced from the density matrix equations and the forced oscillation model of laser and bistability is used to study the bi- or multi-stability of the system under lasing, or inversion without lasing (IWL) and LWI conditions. The results indicate that to realize OB or OM output in IWL or LWI situation, there must be some additional conditions on the relaxation and transition rates, also the critical output light intensity. Finally, theoretical analysis and numerical computing show that there exists unstable critical point of second kind phase transition, in such tri-stable state.

DOI
10.1117/12.429387

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This paper studies the characteristics of the nonlinear optical system in a model, which may be considered as that containing conjugate polymer, such as polydiacetylense. The dynamic equations are established through the approach of density matrix elements. The parameter conditions of laser and lasing without inversion (LWI) are discussed and the thresholds of pumping and probing fields to produce LWI are determined. The nonlinear susceptibility of the system is deduced from the density matrix equations and the forced oscillation model of laser and bistability is used to study the bi- or multi-stability of the system under lasing, or inversion without lasing (IWL) and LWI conditions. The results indicate that to realize OB or OM output in IWL or LWI situation, there must be some additional conditions on the relaxation and transition rates, also the critical output light intensity. Finally, theoretical analysis and numerical computing show that there exists unstable critical point of second kind phase transition, in such tri-stable state.
This paper presents some results on the nonlinear output charactertistics and critical behaviors of a nonlinear optical system with conjugate polymer like polydiacetylenes, in a three-level model. Based on the model of interaction of this kind of matter with the pumping field, probing field and coherent field, the nonlinear susceptibility deduced by the method of the density matrix element, and the multistable output characteristics and effects of lasing or lasing wihtout inversion are furthe studied, using the dynamic equation of the 'forced oscillation model of laser and bistability'. On the other hand, through the approach of 'quasi-thermal dynamics', we analyzed the properites of the critical point of the system. The result shows that when the system is set on a tri-stable situation there exist an unstable critical point of second kind phase transiton and near which the behavior of the system had not been reported before, as we know.
This paper presents some new study results on the threshold conditions and characteristics of lasing output for an organic polymer optical multi-stable system in which the medium is with pumping and the system acted with inject signal. The dynamics of light field in the medium are described with the extended forced oscillation model of optical multi-stable and lasing system. Moreover, through the theoretical analysis and numerical analogue, the gain threshold condition of amplifying under population reversion is discussed. Meanwhile the characteristics of the lasing output state with inject signal inspected. Further, the relationships of the amplifying multiple of the incident light field with the cavity detuning; and that with the two-photon detuning; also that between the two kinds detuning are found by analyzing the stationary equations. Finally, theoretical and numerical analyzing shows that the lasing frequency characteristic of such an organic polymer system with pumping and inject signal is different from the common laser. These results should be significant in some degree for both theoretical and experimental research, also application purpose.
In this paper the results of study on the nonlinear and lasing output characteristics of an organic polymer system, are presented. To describe the dynamics of light field in the medium, the forced oscillation model of optical multi-stable and lasing system are used. For the matter model, the material with the conjugate structure, such as polydiacetylenes which energy structure can be reduced to a three-level system considered; meanwhile the approach of efficient susceptibility is used to deduce the nonlinear susceptibility. Under these conditions, theoretical analyzing and numerical simulation shows that the system appears special output characteristics and dynamic behaviors, also instability, responding to the incident signal, especially when it satisfies both the gain condition of amplifying and that of multi-stable states. Further, the relationship between the detuning and the conditions of light amplification in this system are given out. Moreover, we find the detuning condition can describe and generalize the "frequency pulling effect", in proper situation.
Lasing without inversion (LWI) in specific models of closed three-level systems is analyzed in terms of nonlinear dynamics. From a linear stability analysis of the trivial nonlasing solution of the homogeneously broadened systems with on-resonance driving and laser fields, we find that, near lasing threshold, resonant closed $\ensuremath{\Lambda}$ and VVV schemes yield continuous-wave LWI while resonant cascade schemes can give rise to self-pulsing LWI. The origin of this different behavior is discussed. For parameters of a real cascade system in atomic 138Ba{}^{138}\mathrm{Ba}138Ba we check numerically that the self-pulsing solution is stable in a broad range of nonzero detunings. It is shown that the self-pulsing emission can still be observed when the typical residual Doppler broadening of an atomic beam is taken into account.
Lasing without inversion (LWI) in specific models of closed three-level systems is analyzed in terms of nonlinear dynamics. From a linear stability analysis of the trivial nonlasing solution of the homogeneously broadened systems with on-resonance driving and laser fields, we find that, near lasing threshold, resonant closed Λ and V schemes yield continuous-wave LWI while resonant cascade schemes can give rise to self-pulsing LWI. The origin of this different behavior is discussed. For parameters of a real cascade system in atomic 138Ba we check numerically that the self-pulsing solution is stable in a broad range of nonzero detunings. It is shown that the self-pulsing emission can still be observed when the typical residual Doppler broadening of an atomic beam is taken into account.
Lasing without inversion (LWI) is investigated from a nonlinear dynamics point of view for an atomic system with three coupled J = 0-1 transitions. The driving and generated fields couple two of these transitions defining a double- scheme. In addition, two incoherent pump fields are acting on the system. We find that LWI can occur not only in a continuous wave regime but also in a self-pulsing regime. A clear physical interpretation of the origin of this self-pulsing LWI is given. We obtain analytically the threshold driving field intensity needed to achieve both continuous wave and self-pulsing LWI emission. For large enough cavity losses, the system can reach either continuous wave or self-pulsing regimes by only changing the driving field intensity.