Abstract We theoretically investigated the sub-luminal and super-luminal light propagation by introducing compton scattering and Kerr non-linear effects to a four level atomic system. Slow light propagation is observed at a group index of 3918 in the transparency region. The slow light propagation is tuned to fast light propagation at group index 0.2, using compton scattering angle of
φ=π/6 φ = π / 6 . The surperluminality is further enhanced with compton scattering angle at the resonance frequency. Under the Kerr nonlinearity, the slow light propagation at a group index of 3918 is enhanced to fast light propagation at group index of
2×106 2 × 10 6 at the resonance frequency. The group index is reduced to
6.56281×10−5 6.56281 × 10 - 5 in the presence of both Kerr non-linearity and compton scattering. In the presence of compton scattering, the Phase shift at
π/2 π / 2 without Kerr nonlinearity is
7×10−8 7 × 10 - 8 radian and with Kerr nonlinearity its value is
1.7×10−9 1.7 × 10 - 9 radian at resonance frequency. This demonstrate that introducing Kerr effect and compton scattering lead to significant modifications in the phase shift.
After considering Kerr nonlinear effect, group velocity dispersion of host and gain distribution of active particle in laser amplifying medium, a basic equation describing propagation of the coupling optical pulse under the multi-photon nonlinear Compton scattering in the laser amplifying medium has been deduced. Besides, the profile and power spectrum of a picosecond-level super-Gaussian coupling pulse in the laser amplifying medium have been discussed when its central frequency coincides with the gain peak frequency of the laser amplifying medium.
ABSTRACT The manipulation of optical solitons and their pulse intensity in a five‐level M‐type Kerr atomic medium driven by control fields of a super‐Gaussian beam is investigated. Here, we study an important problem for the design of tunable nonlinear optical and quantum communication systems that can control soliton characteristics through spatial beam parameters. The theoretical investigation is based on the density‐matrix formalism combined with the Maxwell–Bloch equations to analyze the propagation dynamics of solitonic pulses under different beam orders, variances, detunings, and Rabi frequencies. It is shown that the soliton profile depends strongly on the deviation and order of the super‐Gaussian beam. The pulse amplitude and localization significantly improve, and the system exhibits transitions from multipeak to bright and dark periodic solitons when the power is adjusted between 1 and 10 and the variances between 0 and 1. The measured soliton intensities from to show controlled behavior throughout spatial and temporal coordinates. The results demonstrate that the dispersion and Kerr nonlinearity balance may be externally adjusted using beam shape, enabling flexible soliton generation and control. This work is novel and extends earlier work that was limited to Gaussian or lower level configurations by introducing a structured‐beam‐driven approach to control optical solitons in M‐type atomic system.