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Quantum Electronics

Optical analogue of the Mössbauer effect

Alexander A. Kolokolov

Published Jan 31, 2016• 1 citation
Publisher

Abstract

It is shown that in a transparent medium with a negative permittivity, absorption and stimulated emission of light by an atom can occur without changing its momentum due to transmission of a corresponding momentum in the medium.
DOI
10.1070/qe2016v046n01abeh015896

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Nonlinear optics normally involves the change in the susceptibility of a material due to the presence of optical radiation. In many cases, the light-matter interaction produces a change in the refractive index of the medium, as occurs in photorefractive media, as well as in Kerr-like media, Brillouin-active media and absorbing media with thermallyinduced refractive index changes. Such nonlinear refractive index variation corresponds to a change in the real part of the optical susceptibility %. In resonant materials, the optical radiation induces stimulated emission (or absorption) causing transfer of population between different energy states of the medium. This can lead to saturation of the amplification (or absorption) corresponding to changes in the imaginary part of the susceptibility x= i2odk where the amplitude gain coefficient a(I) is a saturable function of the intensity /, and k is the magnitude of the wavevector of the optical radiation. The interference of two (or more) coherent beams I(x) in the laser amplifier can cause a modulation of the population inversion N(x). This modulation of the inversion is commonly known as spatial hole burning in lasers and leads to formation of a gain-grating a(x) = 1/2GN(X) where G is the stimulated emission cross-section. The gain grating can act as a very efficient diffractive optical element exhibiting high diffraction efficiency that may be even greater than unity [16] and also very high phase conjugate reflectivity using four-wave mixing (FWM) geometries [5-7].
We investigate the electromagnetic properties of a four-level dense atomic gas medium with Doppler effect. It is shown that the relative permittivity and relative permeability of the medium can be negative simultaneously with low absorption in the same detuning interval on account of electromagnetically induced transparency. Furthermore, with the suitable parameters, the nonreciprocal negative refraction can be obtained due to the Doppler effect, and the nonreciprocity frequency band can be regulated by adjusting the temperature, the intensity of the control field and the atomic density in this hot atomic medium.