Random optical-pulse polarization switching along an active optical medium in the $\mathrm{\Lambda }$ configuration with spatially disordered occupation numbers of its lower energy sublevel pair is described using the idealized integrable Maxwell–Bloch model. Analytical results describing the light polarization-switching statistics for the single self-induced transparency pulse are compared with statistics obtained from direct Monte Carlo numerical simulations.

© 2013 Optical Society of America

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