We describe an enhanced rotation sensor involving an active helium-neon (HeNe) ring laser coupled to a passive
enhancement resonator, which has been named a fast-light-enhanced HeNe ring-laser gyroscope (RLG). Theoretical
rotation sensitivity enhancements as large as two orders of magnitude are presented. The physical effect responsible for
the increased rotational sensitivity is the anomalous dispersion of the enhancement resonator, which produces a larger
beat frequency as compared to a standard HeNe ring-laser gyroscope (RLG) as the laser cavity is rotated. We present the
layout of the fast-light enhanced HeNe RLG, and we provide the theoretical modeling of the enhanced rotational
sensitivity. A design is presented for the red HeNe (632.8 nm). The beat frequency is calculated with respect to rotation
rate, which defines the useful range of operation for this highly sensitive RLG. Considerations for practical issues
including laser-mirror reflectivity precision, unsaturated laser gain, and cavity-length stability are discussed.
It is well-known that a transfer function method is useful to predict the profile of a pulse after it propagates through an
intracavity fast-light medium. However, by using this technique, a behavior of the pulse inside the medium cannot be
determined. In this paper, we describe a new theoretical approach to deal with this constraint. In the new method, we
find an analytical solution for a monochromatic field of infinite spatial and temporal extents, and add the waves with the
weighted amplitude and with the tailored phase to embody a Gaussian input pulse moving toward the cavity. At
different time frames, the sum of these waves produces a spatial profile of the pulse before, inside and after the cavity. In
particular, the pulse profile can be visualized during a superluminal propagation through the intracavity fast-light
medium with zero group index. This model allows us to understand the physical process behind the superluminal
propagation through a white light cavity, which is significant to realize a high bandwidth data buffer system overcoming
conventional delay bandwidth product(DBP) problem.
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