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Frontiers in Optics

Real-Time Determination of Recoverable Energy in Optical Pulse Propagation

Michael J. Ware, Justin B. Peatross, Scott Alan Glasgow

Published Jan 1, 2006• 0 citations
Publisher

Abstract

We present a general method for calculating the fraction of energy stored in a medium that is transferable to an optical pulse. We also calculate the minimum energy required to create a pulse/medium excitation.
DOI
10.1364/fio.2006.fwa4

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We investigate ultrashort pulse propagation in a dense medium of two-level atoms. We numerically solve the coupled nonlinear Maxwell-Bloch equations by assuming that the fields are slowly varying in time only. We find that while intrinsic optical switching of the atomic inversion persists in extended media, self-phase-modulation effects, coherent energy transfer, and reflections can be large even for films that are only a small fraction of a wavelength thick. If the propagation distance is sufficiently large, a physical boundary that separates fully excited atoms from atoms in the ground state can be created within the medium. In turn, this leads to a rapid spatial modulation of the nonlinear polarization, and a deterioration of the intrinsic optical switching mechanism. We then show that, although the slowly varying envelope approximation in space may be preempted by the fast longitudinal variation of the field and atomic variables, the mean-field approximation remains valid in the regime of ultrafast optical switching, provided the film thickness is sufficiently small such that the medium is nearly uniformly excited. These results are generated by utilization of our calculational method that fully accounts for the longitudinal dynamics of the fields, including reflections.