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Soviet Journal of Quantum Electronics

Transient stimulated four-photon parametric scattering in the case of pumping with adiabatic pulses

Б. В. Крыжановский

Published Jul 31, 1987• 3 citations
Publisher

Abstract

A theoretical investigation is made of stimulated four-photon parametric scattering in a medium of two-level atoms pumped by high-intensity ultrashort pulses. A simple dependence of the gain on the phase mismatch, pumping duration, and length of the interaction region is obtained. The spectral and angular distributions of the scattered radiation are considered and the features of these distributions associated with the transient nature of the process are discussed.

DOI
10.1070/qe1987v017n07abeh009479

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A theoretical investigation is made of stimulated four-photon parametric scattering in a medium of two-level atoms pumped by high-intensity ultrashort pulses. A simple dependence of the gain on the phase mismatch, pumping duration, and length of the interaction region is obtained. The spectral and angular distributions of the scattered radiation are considered and the features of these distributions associated with the transient nature of the process are discussed.
A theory is developed for transient hyper-Raman scattering and four-wave parametric processes in a gaseous medium subjected to an ultrashort pump pulse field. Investigations are made of the intensity and spectrum of the infrared and ultraviolet radiation generated in a medium as a result of these processes, bearing in mind the transient properties of the pump (phase modulation, pulse profile). It is shown that the initial nonlinearity of the pump field and the parametric processes result in new effects not observed in transient stimulated Raman scattering. For a large two-photon detuning, the hyper-Raman forward scattering is suppressed because of destructive interference with stimulated parametric generation of ultraviolet radiation. The gain of the infrared and ultraviolet radiation depends on the pump pulse profile. Under exact two-photon resonance conditions in the absence of any phase modulation of the pump, infrared and ultraviolet pulses are coherently split into various subpulses and a time-dependent Autler–Townes doublet is observed in their spectrum.
The problem of transient four-wave parametric interaction in a two-level medium is solved taking into account the group delay without assuming a weak exciting field. It is found that a high-power narrow peak whose duration τs is considerably shorter than the pump duration τp is observed against the background of a slowly varying envelope of the weak signal during its amplification process. In the case of a high pump intensity (ΩmτP−1) the lowest possible value of τS that can be achieved for a suitable angle of incidence and input signal frequency is governed by τp/Ωm1/2, where Ωm is the peak Stark shift of the resonance frequency.
The theory of transient stimulated Raman scattering has been extended to include an arbitrary shape of the laser pump pulse. It is shown that the maximum Stokes gain depends on the total energy content per unit area of the pump pulse, and not on the instanteous intensity for an exciting pulse of short duration. The Stokes pulse has a leading edge which rises sharply to a maximum, where the maximum occurs with some delay with respect to the maximum of the pump pulse. The trailing edge follows the decay of the pump. In a nondispersive medium, the gain is not reduced by frequency broadening of the laser output, while in a dispersive medium, considerable gain reduction is expected. Numerical results for various laser-pulse shapes and spectral distributions are presented.
An investigation is made of the serious limitations on the growth of the amplitude of a Stokes wave associated with the optical Stark effect and with the dispersion of the group velocities of the interacting pulses. It is shown that when the distance traversed exceeds a certain length, the gain due to stimulated Raman scattering reaches saturation whereas the spectrum of the scattered light becomes broader and acquires a line structure. Saturation of the scattering is not manifested at pump intensities sufficient to bleach the scattering medium. The gain can be optimized by altering the offset from a resonance.