Modulation of Slow/Fast Propagation Regimes as well as Azimuthal Light Entrainment within a Rotating Atomic System via Rodrigues-Legendre Structured Fields

This research explores an original strategy for regulating both sub-light and faster-than-light propagation, alongside rotary photon drag, in a spinning atomic medium. We utilize external fields based on the Rodrigues? representation of Legendre polynomials to exert high-precision command over light-matter interactions. Our results identify a characteristic dull-shaped absorbtion profile marked by a central maximum,?regions of minimal as well as maximal absorbtion correspond to normal and anomalous dispersion, respectively. By meticulously adjusting the medium’s parameters, we demonstrate significant modulation of the group velocity, reaching magnitudes of roughly (±6.0×104ms−1) (with a Slow/Fast light index fluctuation of ±5×103 at n = 2) and delay times of ±20 μ/Hz. A primary finding is the direct correlation between the rate of propagation and the orientation of the dragging effect, slow light triggers standard drag, whereas accelerated light results in reversed (anomalous) drag. This latter effect exhibits a measured drag angle θdr as high as (±0.005rad). These insights provide new foundations for the development of sophisticated optical and biomedical sensors, imaging arrays, and next-generation telecommunication frameworks. .