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Journal of the Optical Society of America B

Coherent pulse propagation in a KrF amplifier

Karen E. Hill, G.H.C. New, Keith R. Burnett

Published Apr 1, 1991• 4 citations
Publisher

Abstract

Amplification of short optical pulses in a KrF amplifier is studied theoretically with the use of a coherent interaction model that describes the dissociation on the lower electronic state rigorously in terms of the dephasing of the lower-state vibrational wave functions. The model is extended to include more than one upper vibrational level. The results are compared with those obtained from a discrete-level coherent model and from an incoherent (rate equation) approach.

DOI
10.1364/josab.8.000839

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Amplification of short optical pulses in a KrF amplifier is studied theoretically with the use of a coherent interaction model that describes the dissociation on the lower electronic state rigorously in terms of the dephasing of the lower-state vibrational wave functions. The model is extended to include more than one upper vibrational level. The results are compared with those obtained from a discrete-level coherent model and from an incoherent (rate equation) approach.
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Pulse propagations in an amplifier in the case of the photodissociation iodine laser are investigated with the use of semiclassical treatments, especially when the input pulse fed into the amplifier has a width comparable to or shorter than the transverse relaxation time of the amplifier medium. In our semiclassical equations for pulse propagation in an iodine amplifier, the populations of all hyperfine levels [2P1/2(F= 3, 2),2P3/2(F = 4, 3, 2, 1)], the polarizations of optically allowed transitions (\DeltaF = 0, \pm 1), and the Doppler detuning effects were taken into consideration. Based on the numerical integrations of the semiclassical equations, the propagated pulse shape and the population distributions of the hyperfine levels are discussed. From our calculations, it has been made clear that bandwidth limitations of pulses in the range of pulsewidths of 0.1 ns and below can be avoided by making use of the nonlinear amplification that results from the coherent interaction between the propagated pulse field and the amplifier medium.
Coherent amplification of short-pulse XeCl lasers is studied theoretically by using multilevel Maxwell–Bloch equations in which the vibrational–rotational structures of a XeCl gain spectrum are included. The model used considers 100 transitions each in the P and R branches for six different vibrational transitions of XeCl(B, υ = 0) → XeCl(X, υ′ = 0–5). Coherence components between sublevels in the B and X states are also properly calculated. The model can successfully predict coherent effects such as a quantum beat caused by the spectrum overlap of the several vibrational–rotational transitions involved in a short-pulse laser spectrum. During amplification, laser pulses experience some nonlinear effects caused by the complex gain spectrum structure and by the coherent interactions; thus a considerable change in the laser pulse shape and a substantial reduction in the duration of the amplified laser pulse are predicted. The Frantz–Nodvik equation in the rate-equation limit and even single-level Maxwell–Bloch equations are not applicable for short-pulse propagation analyses in inhomogeneously broadened gain media.
An analysis is made of the interaction of radiation with a two-level medium at a high particle density. An explicit allowance is made in the interaction Hamiltonian for the interaction between dipoles induced by a resonance field. A semiclassical description is used to obtain a system of equations describing the propagation of a pulse in the active medium. The equations contain nonlinear terms allowing for the interaction in question. An approximate solution of the equations is obtained for the case of amplification of a weak noncoherent pulse describing pulse compression in the amplifying medium. The theory is compared with experimental results.
We have studied optical pulse propagation in a Raman fiber amplifier doped with a three-level medium and driven by a control laser pulse. We analyze the spatial-temporal dynamics of pulse propagation for different atomic initial conditions. The propagation of an optical pulse through the amplifier can be sustained by a control laser that induces transparency via quantum coherence, which is useful for extending the distance between optical repeaters. Under certain conditions, amplification is achieved without population inversion. The results could be useful for laser control of optical pulses in amplifiers and waveguides.
The interaction between coherent subpicosecond ultraviolet radiation and an XeCl molecule was modeled numerically. It was established that a two-level model of the spectrum of a molecule having stable upper and rapidly decaying lower levels can be applied to study the amplification of 0.1–0.7 ps pulses. A numerical analysis was made of the amplification of 0.2–0.5 ps pulses and the influence of coherence effects was assessed. The conditions of validity of the Frantz–Nodvik equation to describe the energy characteristics of the amplified pulses were analyzed.