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arXiv:quant-ph/9910112 · Springer eBooks

Mirrorless Oscillation Based on Resonantly Enhanced 4-Wave Mixing: All-Order Analytic Solutions

Michael Fleischhauer

Published Jan 1, 2000• 0 citations
arXivHTMLPDF
DOI
10.1007/978-3-662-07313-1_7

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We analyze the above-threshold behavior of a mirrorless parametric oscillator based on resonantly enhanced four-wave mixing in a dense atomic vapor. It is shown that, in the ideal limit, an arbitrary small flux of pump photons is sufficient to reach the oscillator threshold. We demonstrate that, due to the large group velocity delays associated with electromagnetically induced transparency, an extremely narrow oscillator linewidth is possible, making a narrow-band source of nonclassical radiation feasible.
A nonlinear medium interacting with two counterpropagating pump beams is potentially unstable. This instability is related to a mirrorless four-wave mixing oscillation.1 Recent experiments done in vapors2 show that the behavior is strongly different according to the sign of the frequency detuning from resonance. When the laser frequency ω is larger than the atomic resonance frequency ω0, the oscillation appears as a sharp conical emission, the oscillation frequency being ω. In some cases the cone is fragmented into a hexagon. When ω < ω0, the oscillation is more difficult to achieve and appears as a very broad cone.