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European Quantum Electronics Conference (EQEC)

Enhancement of the inversionless lasing domain in broad-area three-level systems

J. Mompart, V. Ahufinger, R. Corbalán, M. C. Torrent, Jordi García‐Ojalvo, Ramon A. Vilaseca

Published Jan 1, 2003• 0 citations
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Abstract

This study investigates enhancement of the inversionless lasing domain in broad-area three-level systems. Through a linear stability analysis of the trivial non-lasing solution and a numerical integration of the Maxwell-Schrodinger equations, it is shown that diffraction allows the extension of lasing to a large cavity detuning domain. In addition, this work demonstrates that inversionless lasing in a self-pulsing regime still occurs in the presence of diffraction.

DOI
10.1109/eqec.2003.1313945

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This study investigates enhancement of the inversionless lasing domain in broad-area three-level systems. Through a linear stability analysis of the trivial non-lasing solution and a numerical integration of the Maxwell-Schrodinger equations, it is shown that diffraction allows the extension of lasing to a large cavity detuning domain. In addition, this work demonstrates that inversionless lasing in a self-pulsing regime still occurs in the presence of diffraction.
We investigate analytically and numerically the role of diffraction in the operation of a broad-area inversionless laser in a cascade three-level configuration. Through a linear stability analysis of the trivial non-lasing solution and numerical integration of the corresponding Maxwell–Schrödinger equations, we show that off-axis emission allows stationary inversionless lasing over a cavity detuning range much larger than in small-aspect-ratio cavities and in conventionally inverted three-level lasers. In addition, we investigate inversionless lasing in a self-pulsing regime in the presence of diffraction, which leads to rich spatiotemporal dynamics.
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.
The author demonstrate that lasing without inversion can be achieved through a self-pulsing instability. This is shown for the resonant coherently driven three-level media proposed by Kocharovskaya, Mandel and Radeonychev (1992) as inversionless amplifiers of a monochromatic field. A usual instability giving rise to CW lasing is also found. Both instabilities are mutually exclusive, since they are primarily determined by opposite signs of the population difference between the two levels coupled by the driving field. The general necessary conditions for inversionless lasing are given and it is found that the two instabilities require a good quality cavity and are produced in a limited range of driving field intensity.
We characterize analytically the nature of the lasing solutions of a laser operating without population inversion. We consider models involving three-level media interacting with a strong driving field and a lasing field in the vicinity of the lasing threshold. We assess the influence of different relaxation and pumping schemes on the dynamics of these lasers. We use the atom-field detuning, the cavity detuning, and the linear gain as bifurcation parameters. Depending on their values, the stable lasing solution is shown to be cw or self-pulsing. We show that the optimal lasing operation is achieved if both the driving field frequency and the cavity frequency are out of resonance with the atomic frequencies. Physically, the lasing regimes arise from nonlinearly interacting sidebands induced in the lasing medium by atomic interference.
We analyze a laser system consisting of N closed three-level atoms confined in a single-mode cavity and derive the conditions for the onset of lasing without inversion or with inversion. We calculate the steady-state gain and lasing in the system and show that far above the lasing threshold, depending on the pumping and decay rates, the inversionless laser may operate in three different regimes, where the intensity of the laser depends linearly on N, is proportional to \ensuremath{\surd}N , or independent of N.