Random optical-pulse polarization switching along an active optical medium in the Lambda-configuration with spatially disordered occupation numbers of its lower energy sub-level 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.

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This work was partly supported by the National Science Foundation through grant DMS-1009453.

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