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Brillouin fast-light fiber laser super-sensor

We present a comprehensive study of the properties of a superluminal fiber laser based super-sensor employing Brillouin gain. Exact analytical expression for the required parameters and the sensitivity enhancement are derived. The dependence of the sensitivity enhancement on the measured phase shift is found to be highly nonlinear, rapidly increasing at smaller quanta. The minimal detectable shift due to shot noise is found to be smaller by 8 orders of magnitudes compared to conventional laser sensors. The tradeoffs between the attainable sensitivity enhancement, the cavity dimensions and the impact of the cavity roundtrip loss are studied in details providing a set of design rules for the optimization of the super-sensor.