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Optics and Spectroscopy

Coherent amplification of waves in an antidirectional fiber coupler containing resonance admixture atoms

Elena V. Kazantseva, Andrei I. Maimistov

Published Nov 1, 2015• 3 citations
Publisher

Abstract

Two tunnel-coupled waveguides, one exhibiting positive refraction, the other exhibiting negative refraction, are analyzed. It is proposed that the positively refracting waveguide contains resonant admixture atoms, while the negatively refracting one has linear losses. The nonlinear properties of the positively refracting waveguide are related to saturation of resonance absorption. It is demonstrated that attenuation of a backward wave propagating in the studied antidirectional coupler can be compensated under certain conditions.

DOI
10.1134/s0030400x15110132

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Two tunnel-coupled waveguides, one exhibiting positive refraction, the other exhibiting negative refraction, are analyzed. It is proposed that the positively refracting waveguide contains resonant admixture atoms, while the negatively refracting one has linear losses. The nonlinear properties of the positively refracting waveguide are related to saturation of resonance absorption. It is demonstrated that attenuation of a backward wave propagating in the studied antidirectional coupler can be compensated under certain conditions.
Light pulse amplification in a fiber amplifier is analyzed using a two-level model of resonant impurity atoms in a preinverted state. A steady-state ultrashort pulse propagating in such an amplifier is predicted. The dispersion broadening of this pulse is compensated by a nonlinear compression due to self-interaction, whereas an increase in the amplitude is compensated by linear losses. The dependence of the total energy of a transient pulse on the fiber wavelength is determined and a study is made of the role of the spatial inhomogeneity of the population inversion of the impurity atoms. Quasicoherent amplification is discussed.
We study numerically the propagation of two-color light pulses through a metamaterial doped with active atoms such that the carrier frequencies of the pulses are in resonance with two atomic transitions in the Λ configuration and that one color propagates in the regime of positive refraction and the other in the regime of negative refraction. In such a metamaterial, one resonant color of light propagates with positive and the other with negative group velocity. We investigate nonlinear interaction of these forward- and backward-propagating waves and find self-trapped waves, counterpropagating radiation waves, and hot spots of medium excitation.
The dynamics of forward and backward waves in the tunnel-coupled waveguide structure that consists of materials with different signs of real and imaginary parts of refractive indices is analyzed. The expressions for the amplitudes of propagating waves and reflection and transmission coefficients are derived. It is demonstrated that such a structure can be used as a slow-wave structure whose parameters can be controlled using an external magnetic field. The absence of the spontaneous generation of the radiation that propagates in the structure is also demonstrated for the given effective gain, phase mismatch of the interacting modes, and waveguide length.
Light propagating in an optical waveguide can gain or lose power through interaction with a travelling acoustic wave or radio-frequency modulation of permittivity. Here, we model this propagation by considering an optical wave interacting with a weak travelling-wave permittivity perturbation whose frequency is much smaller than the optical frequency and whose amplitude decays exponentially along the propagation direction. Four modulation cases are analyzed: instantaneous modulation, synchronous modulation, and the Stokes and anti-Stokes resonances. For these cases, simple expressions are obtained for the carrier and sideband transmission and reflection powers as well as for the total gain and loss powers. Although the achievable total gain remains small for realistic modulation and waveguide parameters, the anti-Stokes resonance is identified as the most promising condition for observing modulation-induced light amplification.
Light propagating in an optical waveguide can gain or lose power through interaction with a travelling acoustic wave or radio-frequency modulation of permittivity. Here, we model this propagation by considering an optical wave interacting with a weak travelling-wave permittivity perturbation whose frequency is much smaller than the optical frequency and whose amplitude decays exponentially along the propagation direction. Four modulation cases are analyzed: instantaneous modulation, synchronous modulation, and the Stokes and anti-Stokes resonances. For these cases, simple expressions are obtained for the carrier and sideband transmission and reflection powers as well as for the total gain and loss powers. Although the achievable total gain remains small for realistic modulation and waveguide parameters, the anti-Stokes resonance is identified as the most promising condition for observing modulation-induced light amplification.