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Technical Physics Letters

Nonlinear resonance reflection of light in the presence of an acoustic wave

B. B. Averbukh

Published Aug 1, 2008• 0 citations
Publisher

Abstract

It is demonstrated that both the Mollow triplet and Mandelshtam-Brillouin splitting must be manifested in the indicatrix of light scattering from a system of atoms. Frequency shifts in the Mollow triplet are independent of the observation direction. The magnitude of splitting in the Mandelshtam-Brillouin doublet depends on the angle of scattering and, under certain conditions, can be equal to that in the Mollow triplet. Under these conditions, the scattered light spectrum exhibits five components instead of the six observed in the general case.

DOI
10.1134/s1063785008080026

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It is demonstrated that both the Mollow triplet and Mandelshtam-Brillouin splitting must be manifested in the indicatrix of light scattering from a system of atoms. Frequency shifts in the Mollow triplet are independent of the observation direction. The magnitude of splitting in the Mandelshtam-Brillouin doublet depends on the angle of scattering and, under certain conditions, can be equal to that in the Mollow triplet. Under these conditions, the scattered light spectrum exhibits five components instead of the six observed in the general case.
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.
An experiment was performed recently [Y. Zhu, A. Lezama, Q. Wu, and T. W. Mossberg (unpublished)] in which a two-level atom of transition frequency \ensuremath{\Omega} was placed in a bichromatic laser field with frequencies \ensuremath{\Omega}\ifmmode\pm\else\textpm\fi{}\ensuremath{\delta}, of sufficient intensity to produce dynamic Stark splitting. The observed fluorescence spectrum differed qualitatively in almost all its details from the well-known Mollow triplet [B. R. Mollow, Phys. Rev. 188, 1969 (1969)]. In this article, we use a dressed-atom model to explain the observed results.
It is well known, that for large Rabi frequencies the spectrum of resonance fluorescence of a single two-level atom contains three separate lines (Mollow triplet). Question naturally arise as to what effect sidebands of this triplet might have on the spectrum of the scattered radiation in the multiatom case. The purpose of the present paper, therefore, is to obtain a space-frequency dependent spectrum of the scattered radiation in backward direction (reflection) by a system of N noninteracting atoms. We neglect the translational motion of the atoms and multiple scattering and concentrate on the effects of the collective scattering. It is shown that spectral energy of the scattered radiation consists of two different parts. One is the incoherent and isotropic emission of fluorescence. The energy of radiation in this case is the sum of the atomic energies and then is proportional to N . The other is the collective emission (interference effect). The energy of radiation in this case is spatially focused in a small solid angles about three propagation directions and then is proportional to N2. Thus the frequency Mollow triplet is transformed into the space-frequency dependent triplet.
Light scattering of monochromatic radiation by atoms and dilute vapours is reviewed. The relative contributions of incoherent and coherent scattering are calculated for weak incident fields. It is shown that, to lowest order in the intensity of the driving field, there can be several inelastic components in the scattered spectrum. The positions and widths of these components are related to light shifts and optical pumping of the atoms in the field. The complications that one encounters in scattering by two atoms, moving atoms, and atomic ensembles are discussed in qualitative terms.