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Journal of Optics B Quantum and Semiclassical Optics

Dynamical manifestations of two mechanisms of lasing without inversion

Yevgeny V. Radeonychev, Igor' V Koryukin, Olga A. Kocharovskaya, R. Corbalán, Ramon A. Vilaseca

Published Sep 2, 1999• 3 citations
Publisher

Abstract

We study manifestations of the two mechanisms of lasing without inversion in the nonlinear dynamics of an inversionless double- scheme laser. We show that either of the two mechanisms can provide only continuous wave lasing whereas their coexistence and interplay cause both a Hopf bifurcation of the non-lasing regime and an instability of the continuous wave oscillation leading to multifarious nonlinear dynamics of such a laser.

DOI
10.1088/1464-4266/1/5/315

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We study manifestations of the two mechanisms of lasing without inversion in the nonlinear dynamics of an inversionless double- scheme laser. We show that either of the two mechanisms can provide only continuous wave lasing whereas their coexistence and interplay cause both a Hopf bifurcation of the non-lasing regime and an instability of the continuous wave oscillation leading to multifarious nonlinear dynamics of such a laser.
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.
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.
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.
Summary form only given.It was shown recently that in the double-/spl Lambda/ scheme both cw and self-pulsing regimes can occur, and it is possible to move from one to another regime just by changing the intensity of the driving field or Q factor of the cavity. Although convincing lasing without inversion (LWI) was not achieved, lasing was realized essentially below the conventional threshold and inversionless gain was obtained. It is known that in general two different mechanisms of LWI appear and interfere each other in this scheme. The first mechanism is based on the phenomenon of the coherent population trapping and is connected to an excitation of the low-frequency coherence between two levels of the ground atomic state by bichromatic driving field. The second mechanism represents itself as a kind of resonant anti-Stokes Raman scattering of the driving-field into the lasing field and is associated with the low-frequency coherence induced between two levels of the excited atomic state. The main goal of this paper is to study the role, contribution, and interplay of these two mechanisms into the dynamical behavior of LWI. We study it both analytically and numerically on the basis of the corresponding set of the Maxwell-Bloch equations in the case of resonant driving.
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.