Self-induced transparency with transverse variations in resonant media by the power series approximation method

Details Self-induced transparency with transverse variations in resonant media by the power series approximation method Self-induced transparency with transverse variations in resonant media by the power series approximation method

Jan 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005phrve..71a6609c&link_type=abstract

Physical Review E, vol. 71, Issue 1, id. 016609

Physics

1

Optical Solitons, Nonlinear Guided Waves, Effects Of Atomic Coherence On Propagation, Absorption, And Amplification Of Light, Electromagnetically Induced Transparency And Absorption, Optical Transient Phenomena: Quantum Beats, Photon Echo, Free-Induction Decay, Dephasings And Revivals, Optical Nutation, And Self-Induced Transparency

Scientific paper

This paper presents the analytic solutions of self-induced transparency with transverse variations in resonant media by a self-consistent power series approximation method. We solve the Maxwell-Bloch equations by retaining all integral terms from the inhomogeneous broadening and the second-derivative terms with respect to distance and time. The lowest-order approximation is presented in detail. We discuss the characteristics of the distortionless pulses that propagate in an inhomogeneously broadening medium. It is shown that the group velocity and peak power of the self-induced transparency solitons could be represented in terms of the pulse width, the angle between phase velocity and group velocity, and the basic material parameters of the resonant medium. The chirping of the soliton is also discussed.

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