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Journal of Experimental and Theoretical Physics

Two-wave stimulated Raman scattering in the field of intense radiation resonant to the Raman transition

Victor P. Kochanov, Yu. V. Bogdanova

Published Feb 1, 2003• 4 citations
Publisher

Abstract

The influence of a strong field resonant to the Raman transition on the behavior of the Stokes harmonic in saturated two-wave stimulated Raman scattering is theoretically considered based on the description of a gas of three-level atoms by medium density matrix equations. The vibrational mode of energy redistribution between laser and scattered radiation, threshold with respect to the resonant field intensity, is predicted. The action of optical fields on the absorption and amplification of the resonant field in a Raman medium is described.

DOI
10.1134/1.1560394

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Soviet Journal of Quantum Electronics•Dec 31, 1980•1 citation
The influence of a strong field resonant to the Raman transition on the behavior of the Stokes harmonic in saturated two-wave stimulated Raman scattering is theoretically considered based on the description of a gas of three-level atoms by medium density matrix equations. The vibrational mode of energy redistribution between laser and scattered radiation, threshold with respect to the resonant field intensity, is predicted. The action of optical fields on the absorption and amplification of the resonant field in a Raman medium is described.
The passage of strong monochromatic laser radiation through a resonance medium consisting of three-level atoms is investigated. It is shown that if collisions are taken into account in the scattered waves the resonances at combination frequencies occur to first order in the laser field intensity. A numerical analysis of the dependence of the stimulated electronic Raman scattering (SERS) components' gain factors on the pump frequency is carried out. The dispersion curves of the SERS components' gain (absorption) factors for fixed values of pump frequency and intensity are plotted.
The stimulated Raman scattering (SRS), arising from the interaction between molecules of a medium and two strong light fields - a resonant field and a pumping field - is studied theoretically. The transitions of molecules between a given pair of levels is assumed to be both Raman active and infrared active. A semiclassical approach, in which the density matrix method is used for the quantum mechanical description for the medium, is employed. We expand the density matrix in various orders within which the zeroth-order is referred to as the solution of the equation of motion of the density matrix when only the resonant field is applied. -- We obtain a set of equations in second order of the density matrix element p₁₀⑵ (ω) from which the gain function can be derived. This set of equations in the special case of steady state is accidentally similar to those obtained by Mollow in his study of the power spectrum of a strong driven two-level system. We have shown that the SRS in the steady state under the resonant field interaction, is drastically reduced in general. When the flopping frequency is larger than the relaxation constants (Ω > r), we find there appears both weak positive and weak negative gains on both sides of the ordinary SRS components. Since we retain our second-order equations in a general form rather than the form for steady state, we are able to take account of the dependence on the transient zeroth solution. By employing the Laplace transform technique with the help of convolution products, we are able to solve for ρ₁₀⑵(ω) in the stationary flopping state. When the intensity of the resonant field is high, we have found theoretically that both the Stokes and anti-Stokes component become doublets and equally displaced by the amount of the flopping frequency, Ω, on the opposite sides of ordinary Stokes and anti-Stokes components, respectively. The gain maxima are approximately the order of Ω/4r times the ordinary gain of the Stokes component, where Ω/r >> 1 if the flopping exists. The gains are therefore large in comparison with the ordinary gain for SRS in the steady state.
A theoretical analysis is made of the stimulated Raman scattering in gases in the presence of spatial degeneracy of the energy levels. Saturation of the population difference and influence of anti-Stokes radiation are allowed for. Various polarizations of the pump fields and of the Stokes and anti-Stokes radiation are considered. It is shown that the profile of the stimulated Raman line is generally a sum of three Lorentzian lines and the scattering includes scalar, symmetric, and antisymmetric components. The use of circularly polarized pump radiation suppresses the influence of anti-Stokes radiation on the gain of the Stokes wave.
Stimulated Raman scattering (SRS) from a system that is both Raman active and infrared active has been investigated theoretically when a strong coherent resonant infrared light field, in addition to a pumping field, is applied. In the density matrix formulation, it is found that the gain function in steady state is redistributed as a result of the modulation on the populations and transition probabilities by the presence of the strong resonant field. The redistribution curve shows Rabi frequency splitting for the Stokes component and a new origin of anti-Stokes components of SRS that is anticipated in the present mechanism.
An analysis is made of the propagation of a short coherent optical pulse in a three-level resonant medium with an essentially nonequidistant spectrum as a function of the degree of preexcitation of the medium. It is found that in addition to self-induced transparency and resonance scattering, stimulated Raman scattering (Stokes or anti-Stokes) should be observed under certain spatial phase-matching conditions. The area theorem is formulated for all radiation components. An analysis is made of the case of propagation of a resonant electromagnetic pulse of frequency ω in a system of three-level atoms having an equidistant spectrum. Under conditions of preexcitation of the medium at the frequency 2ω by longitudinal acoustic pulses, a scattered transverse acoustic wave at the frequency ω may be observed.