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Acta Physica Sinica

PROPAGATION PROPERTIES OF DOUBLE LASER PULSE IN COHERENT MEDIUM

XIAO LING, DING GANG, JING CHUN-YANG, LIN FU-CHENG, 中国科学院上海光学精密机械研究所，上海 201800

Published Jan 1, 1999• 7 citations
Publisher

Abstract

Based on the Bloch-Maxwell equation,the three-dimensional model for the double-pulse propagation in a two-level system was set up-The propagation of the double pulses with different areas has been described and compared to that of the single pulse-The pulse mergence has been found in the double-pulse propagation-
DOI
10.7498/aps.48.468

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The coherent propagation of two optical short pulses through a resonant medium consisting of two three-level atoms in the configuration is investigated. A self-consisting analytical solution without steady state or adiabatic approximations is presented. The electric field in the model studied consists of two co-propagating plane waves, each of which is in near resonance with a transition in the absorber. The density matrix of two three level atoms is studied. Also, the reduced density matrices are stated. The present approach for the semiclassical treatment of resonant coherent interactions in three-level atoms represents a generalization of the Maxwell- Bloch equations for a two-level system. The Maxwell-Bloch equations reduced to the non-linear pendulum equation. The solution shows that the two pulses can propagate simultaneously without loss under some conditions about the pulses and the medium. The propagation of the two pulses through the medium without any constrains approves the self -induced transparency (SIT) phenomenon.
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.