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Physical Review Letters

Experimental Observation of the Continuous Pulse-Train Soliton Solution to the Maxwell-Bloch Equations

John L. Shultz, Gregory J. Salamo

Published Feb 3, 1997• 28 citations
Publisher

Abstract

We report the first experimental observation of the evolution of an arbitrarily shaped input optical pulse train to the analytic, shape-preserving, Jacobi elliptic pulse-train solutions to the Maxwell-Bloch equations including relaxation.
DOI
10.1103/physrevlett.78.855

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An accurate and effective numerical method is presented to solve the Maxwell-Bloch equations that are used to describe the optical pulse propagation and interaction with inhomogeneously broadened two-level medium.The convergence and stability of this numerical method are proved by comparing with the analytic solutions and area theorem derived under special condition.The simulations of arbitrary conditions is discussed by employing this method and analyze the pulse evolution for different detunings,relaxation times and inhomogeneously broadened linewidthes.The established numerical method provides a good way to have further study about the coherent interaction of short optical pulses with resonant mediums,and can be used to solve the corrections of Maxwell-Bloch equations.