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Soviet Journal of Quantum Electronics

Propagation of a short optical pulse through a dye solution under nonlinear dispersion conditions

A. Daugvila, V Kabelka, Anatolii V Masalov, A Milyauskas

Published Feb 28, 1988• 3 citations
Publisher

Abstract

Equations are proposed for the nonlinear interaction between optical pulses and dye solutions allowing for the contribution of the stimulated emission band to the nonlinear dispersion of the solution. A numerical solution of the equations showed that, for pulses having a carrier frequency near the absorption band of the solution, phase modulation of the pulses transmitted by the solution took the form of a deviation of the instantaneous frequency toward the red, and the "chirp" was positive.

DOI
10.1070/qe1988v018n02abeh011477

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Equations are proposed for the nonlinear interaction between optical pulses and dye solutions allowing for the contribution of the stimulated emission band to the nonlinear dispersion of the solution. A numerical solution of the equations showed that, for pulses having a carrier frequency near the absorption band of the solution, phase modulation of the pulses transmitted by the solution took the form of a deviation of the instantaneous frequency toward the red, and the "chirp" was positive.
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A theory of optical two-component pulse of self-induced transparency in a dispersive medium has been developed. Using the generalized version of the perturbative expansion method, the system of material equations for an ensemble of two-level atoms and the wave equation in a dispersive medium are reduced to coupled nonlinear Schrödinger equations. A solution in the form of a phase-modulated two-component 0π0\pi 0π pulse is obtained. The pulse components oscillate at the sum and difference frequencies in the vicinity of the carrier-wave frequency. Explicit analytical expressions for the parameters and formation conditions of a nonlinear wave, which depend on the dispersive properties of the medium, are presented. Known results are obtained for a particular case.
We have developed a self-consistent description, based on the semiclassical radiation theory of the propagation of a light pulse in a dye medium. The multilevel nature of the energy bands of a dye molecule and the solvent cage effect in a solution are taken into account. In the case of light pulses whose duration is much shorter than the solvent-solute relaxation time but much longer than the time of atomic phase memory, the latter being of the order of ${10}^{\ensuremath{-}12}$ sec for dyes, we solve the coupled system of equations for the field and the medium by the perturbation procedure. The hole-burning effect is incorporated into the solution in a natural manner. This is especially clear in the direct transition approximation where all the intermediate transitions are neglected. A recent idea of pulse superposition, consisting in storing the energy of a pulse in the form of population inversion followed by stimulated emission triggered by another pulse, is further discussed. Contrary to the orginal model developed by one of us (S.L.C.), we show that no cw pumping is required. The feasibility of the pulse superposition is supported by some experimental results obtained by sending a train of 10-psec pulses through a glycerine solution of oxazine 1 perchlorate.
A theoretical analysis of the propagation of near resonant and linearly chirped light pulses through a resonant medium is presented under the restriction that the pulses are far enough off resonance or weak enough so that they do not significantly alter the atomic populations. If the pulses are of duration comparable to or less than the phase memory time T(2) of the atoms, it is found that the transient response of the medium gives rise to amplitude-and phase-modulating effects. Analytic solutions are presented to describe the propagation of an off-resonant pulse which is very short compared with T(2) and an off-resonant rectangular pulse. The evolution of a Gaussian pulse having a positive linear chirp is studied numerically.