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Journal of Physics B Atomic and Molecular Physics

Collective effects in resonant Raman scattering of intense optical waves

Nikolay N. Bogolubov, A.S. Shumovsky, Tran Quang

Published Feb 14, 1987• 14 citations
Publisher

Abstract

Collective effects in resonant Raman scattering in the presence of intense incident and scattered light waves are investigated. The analytical expressions for the steady-state spectrum and normalised intensity correlation functions for components of the spectra are given. In the cooperative limit N to infinity the relative intensities and normalised intensity correlation functions for each component of the spectra have a discontinuous behaviour reminiscent of a typical non-equilibrium first-order phase transition.

DOI
10.1088/0022-3700/20/3/023

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Collective effects in resonant Raman scattering in the presence of intense incident and scattered light waves are investigated. The analytical expressions for the steady-state spectrum and normalised intensity correlation functions for components of the spectra are given. In the cooperative limit N to infinity the relative intensities and normalised intensity correlation functions for each component of the spectra have a discontinuous behaviour reminiscent of a typical non-equilibrium first-order phase transition.
Resonance Raman scattering and luminescence under an intense excitation field are studied for both stationary and transient excitation regimes. By means of the Green function theory of resonance Raman scattering and luminescence we explain the characteristic features of the recent experiments on two-photon resonance Raman scattering via excitonic molecule in CuCl where the resonance dip and the asymmetry of the Raman yield around the resonance were observed. We ascribe the origin of the resonance dip of the Raman yield to the resonance enhancement of collisional damping of excitonic molecule and exciton states. The asymmetry of the Raman yield can be naturally understood in terms of the frequency and wave-vector dependent relaxation constants. Furthermore an approach is proposed which incorporates the coherence and correlation among excitonic molecules and excitons in their non-equilibrium state and clarifies their effects on the optical spectra.
The theory of resonant Raman scattering in the presence of intense incident and scattered light waves has been developed, using the quantum-mechanical master-equation approach. When the optical matrix elements between the resonant intermediate state and the initial and final states of the atomic system are larger than the relevant relaxation frequencies, it is shown that instead of the usual power broadening and shift of the Stokes or anti-Stokes line, each line can split into as many as five or seven lines, depending upon whether both the fields are exactly at resonance or otherwise.
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Abstract Effects of incident photon field coherence on resonant light scattering have been investigated. In order to obtain the scattering intensity and the photon counting rate, an expression for the reduced density matrix for the scattered field has been derived. The expression involves the first‐order correlation function of the incident field. The relation between the line shape of the scattered light and the bandwidth of the incident field has been clarified. Model calculations of the photon counting rate have been performed in the case of an incident field without first‐order coherence. In our treatment, the transverse and longitudinal relaxation constants have been taken into account by using the impact approximation.