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Optical Memory and Neural Networks

Self-consistent theory of selective reflection

G. G. Grigoryan

Published Mar 1, 2009• 1 citation
Publisher

Abstract

A relatively simple procedure is developed for calculation of transmission and selective reflection spectra in a system consisting of a layer of atomic vapor sandwiched between two transparent solids with parallel interfaces. The proposed method allows one to correctly take into account multiple reflections, absorption, and spatial dispersion of atomic medium and is applicable to arbitrary densities and optical lengths of atomic medium.

DOI
10.3103/s1060992x0901007x

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A relatively simple procedure is developed for calculation of transmission and selective reflection spectra in a system consisting of a layer of atomic vapor sandwiched between two transparent solids with parallel interfaces. The proposed method allows one to correctly take into account multiple reflections, absorption, and spatial dispersion of atomic medium and is applicable to arbitrary densities and optical lengths of atomic medium.
The theory of the thin-vapor-layer linear optical properties is presented for the case of specular reflection of atoms colliding with the walls. The effects of light absorption and the shift in the resonance frequency are taken into account by means of self-consistent calculation of the field and polarization in a gaseous medium. The obtained formulas reproduce the complex dependence of the spectral line profile on the gas layer thickness and allow one to determine numerically the exact values of the ``blueshift.'' It was shown that, despite the low vapor concentration, the resonance shift is on the same order of magnitude as the width of the spectral lines.
A theory of selective reflection and transmission is developed for a system consisting of a thin layer of a dilute atomic vapor sandwiched between two transparent solids with parallel interfaces. Strong effects of spatial dispersion due to the atomic motion and electronic quenching on gas-solid interfaces are accounted for. It is shown that both even and odd Doppler-free resonances may occur in selective reflection, depending upon the thickness of the vapor layer. It is also found that the amplitude of selective reflection is a result of the interference between reflections from the two boundaries of the vapor-solid interfaces and, hence, may be greatly enhanced under certain conditions.
A theory of selective reflection (SR) of a light beam from the interface of a dielectric medium and a dense atomic vapor is presented. Following another earlier work on this subject [J. Guo et al., Opt. Commun. 110, 732 (1994)], we calculate the atomic density matrix and the transmitted field in the vapor self-consistently. We extend our previous theory to include an attractive atom-dielectric wall interaction and multiple atomic transitions. We examine the limits at which the conventional SR theories, which are based on the assumption of a plane-wave field in the vapor, start to fail. It is shown that at or above vapor densities of order 1017{10}^{17}1017/cm3{\mathrm{cm}}^{3}cm3, the frequency shifts of the SR line shape due to the local-field correction (Lorentz-Lorenz shift), the atom-wall interaction, and the nonexponential attenuation of the field in the vapor can have comparable orders of magnitude, and the proper determination of all these effects is essential for calculating the correct SR signals. A comparison of the theoretical SR spectra with an experimental result for a Rb vapor with a density of order 1017{10}^{17}1017/cm3{\mathrm{cm}}^{3}cm3 is also presented. \textcopyright{} 1996 The American Physical Society.
We discuss the properties of selective reflection spectroscopy at the interface between a resonant vapor and a complex dense medium, such as a metallic film layered on a dielectric substrate. We show that in the approximation of a low-density vapor, the signal mixes up the absorptive and dispersive components of the "effective resonant susceptibility" of the vapor, with the mixture amount governed by simple laws of linear optics. Preliminary experiments performed at the interface between Cs vapor (D2, 852-nm line) and a silver-coated glass window are reported, that show qualitatively the effect of the atom-surface van der Waals interaction.