Yael Sternfeld | Searcharxiv

arXiv2026

Optical injection locking of white light cavity based superluminal lasers

Optical injection locking is a simple method for synchronizing a laser to an external laser source by injecting part of the external laser light into the cavity of the other laser. This approach received significant interest due to its potential applications in telecommunications, precision metrology, and more. We study and analyze the steady-state and dynamic properties of optical injection locking in white light cavity (WLC) lasers. We derive the steady-state injection locking range of the WLC laser and the dynamic (Adler) equation for the phase-difference between the injected signal and the locked laser output. The analysis shows that WLC lasers can exhibit an order of magnitude broader locking range and three order of magnitudes faster dynamics compared to conventional lasers with similar thresholds and free spectral ranges.

physics.optics↗

arXiv2024

Algorithm for solving a pump-probe model for an arbitrary number of energy levels

We describe a generalized algorithm for evaluating the steady-state solution of the density matrix equation of motion, for the pump-probe scheme, when two fields oscillating at different frequencies couple the same set of atomic transitions involving an arbitrary number of energy levels, to an arbitrary order of the harmonics of the pump-probe frequency difference. We developed a numerical approach and a symbolic approach for this algorithm. We have verified that both approaches yield the same result for all cases studied, but require different computation time. The results are further validated by comparing them with the analytical solution of a two-level system to first order. We have also used both models to produce results up to the third order in the pump-probe frequency difference, for two-, three- and four-level systems. In addition, we have used this model to determine accurately, for the first time, the gain profile for a self-pumped Raman laser, for a system involving 16 Zeeman sublevels in the D1 manifold of 87Rb atoms. We have also used this model to determine the behavior of a single-pumped superluminal laser. In many situations involving the applications of multiple laser fields to atoms with many energy levels, one often makes the approximation that each field couples only one transition, because of the difficulty encountered in accounting for the effect of another field coupling the same transition but with a large detuning. The use of the algorithm presented here would eliminate the need for making such approximations, thus improving the accuracy of numerical calculations for such schemes.

quant-ph↗