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Optics Communications

Steady-state emission and stability of a single-mode two-level Fabry-Perot cavity laser

Joaquím Font, Fernando Silva, Ramon A. Vilaseca

Published Jun 1, 1997• 6 citations
Publisher
DOI
10.1016/s0030-4018(97)00051-5

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Explicit models are derived for good cavity one- and two-photon lasers with an injected signal in a Fabry-Pérot cavity. The steady solutions and their stability properties are obtained analytically and compared with the corresponding ring cavity model ones. Only quantitative differences between both types of cavities are found. In particular we show that (i) the Fabry-Pérot cavity reduces significantly the domain of self-pulsing with respect to the ring cavity, and for the two-photon laser case (ii) larger output can be extracted from a Fabry-Pérot cavity than from a ring cavity under certain conditions, something impossible in free-running lasers. We conclude that ring cavity models are sensible models for describing qualitatively Fabry-Pérot experimental configurations.
We propose a minimalistic model to account for the main properties of a continuous superradiant laser, in which a beam of atoms crosses the mode of a high-finesse Fabry-Perot cavity, and collectively emits light into the cavity mode. We focus on the case of weak single atom - cavity cooperativity, and highlight the relevant regime where decoherence due to the finite transit time dominates over spontaneous emission. We propose an original approach where the dynamics of atoms entering and leaving the cavity is described by a Hamiltonian process. This allows deriving the main dynamical equations for the superradiant laser, without the need for a stochastic approach. We derive analytical conditions for a sustained emission and show that the ultimate linewidth is set by the fundamental quantum fluctuations of the collective atomic dipole. We calculate steady-state values of the two-body correlators and show that the continuous superradiant regime is tied to the growth of atom-atom correlations, although these correlations only have a small impact on the laser linewidth.