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Influence of local-field effects on the dynamics of superradiance by a dense medium

А. В. Андреев, P. V. Polevoy, C. M. Bowden, Michael E. Crenshaw

Published Jan 1, 1999• 0 citations
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Abstract

The theory of superradiance by an ensemble of two-level atoms embedded in a dielectric host is developed. It is shown that the near dipole-dipole interaction of a dense collection of two-level atoms is enhanced by the presence of the host material, decreasing the pulse temporal width and increasing the peak pulse intensity of superradiative emission. The influence of the inversion-dependent detuning effect on the parameters of the emitted pulses is investigated.© (1999) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.

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Influence of local-field effects on the dynamics of superradiance by a dense medium

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Summary form only given. The dynamics of a medium consisting of a dense collection of two-level atoms interacting via the electromagnetic field has been derived from first principles. In dense media and condensed matter, the microscopic local field that couples with a single atom is related to the macroscopic field and volume propagation by the Lorentz-Lorenz relation written for an isotropic homogeneous medium. The dynamical equations for the medium, coupled self-consistently with the Maxwell inhomogeneous wave equation, are given in the rotating wave and dipole coupling approximations. The microscopic development is used within the framework of full quantization, and the explicit effects of spontaneous relaxation for the host as well as the atoms are treated, together with corresponding fluctuations. Particular effects upon intrinsic adiabatic inversion, self-induced transparency, and lasing without inversion, are presented and discussed. In particular, the equilibrium, stationary, and dynamical effects of the host medium, and medium and field fluctuations upon local field effects are discussed.

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The two—component superradiative medium consists of two species of atoms with the different dipole moments of the quasi-resonant transitions. The atoms with the smaller dipole moment are initially in the excited state, while е atoms of the second type are initially in the ground state. In the initial stage of the superradiance dynamics the first component is amplifying one, the second component is resonantly absorbing. By varying the concentration of the resonantly absorbing atoms it is possible to increase the intensity of superradiance in the few order of magnitude with respect to the monocomponent medium of the amplifying atoms alone. Here we show that the variation in the distribution of the component densities enables us the additional possibilities in the control of the superradiance pulse parameters. The additional increase in the order of magnitude for the peak pulse intensity is obtained at the optimal distribution. The nature of such variation in the pulse profile and its intensity is due to the opportunity for the effective spatial mode selection in the spatial inhomogeneous media. We discuss the algorithms of е numerical solution and show that the enhanced accuracy methods can be developed in this case.

Izvestiya VUZ Applied Nonlinear Dynamics•Jan 1, 1997•0 citations
The theory of superradiance by an ensemble of two-level atoms embedded in a dielectric host is developed. It is shown that the near dipole-dipole interaction of a dense collection of two-level atoms is enhanced by the presence of the host material, decreasing the pulse temporal width and increasing the peak pulse intensity of superradiative emission. The influence of the inversion-dependent detuning effect on the parameters of the emitted pulses is investigated.© (1999) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.
We investigate the effect of a linear host medium on the dynamics of a dense collection of resonant atoms. We find that near dipole-dipole interaction is enhanced by the presence of the host dielectric, resulting in a lower threshold density and a greater hysteresis area for intrinsic optical bistability. Cooperative decay terms appear that represent the interaction of near dipoles mediated by the absorptive component of the dielectric function of the host medium. These terms are part of the local response and correspond to local cooperative decay effects. \textcopyright{} 1996 The American Physical Society.
Abstract : The mathematical algorithms and programs for the study of the resonant light-matter interactions in the multi-component and multilevel media and photonic bandgap structures have been developed. The optimal component distribution in the two-component media have been found to get a pulse of a superradiative emission of the highest intensity. The mathematical algorithms and programs for the study of the femtosecond pulse propagation in an extended medium of the two-level atoms have developed. The regime of the inversionless superradiance in the two-component superradiative medium has been investigated. The theory of the superradiance by an ensemble of the two-level atoms embedded in the dielectric host was developed. It was shown that the near dipole-dipole interaction of dense collection of two-level atoms is enhanced by the presence of the host material, decreasing the pulse temporal width and increasing the peak pulse intensity of superradiative emission. The theory of nonlinear light-matter interaction in multidimensional resonant photonic crystals under Bragg diffraction condition has been developed. It was obtained the analytical and numerical solutions describing the novel kinds of nonlinear solitary waves: the Laue soliton, O-field, propagating and standing gap solitary waves. It has been described the spatio-temporal nonlinear dynamics of coherent field in periodic resonant structures with arbitrary modulation of atomic density and gain gratings.
Summary form only given. The dynamics of a medium consisting of a dense collection of two-level atoms interacting via the electromagnetic field has been derived from first principles. In dense media and condensed matter, the microscopic local field that couples with a single atom is related to the macroscopic field and volume propagation by the Lorentz-Lorenz relation written for an isotropic homogeneous medium. The dynamical equations for the medium, coupled self-consistently with the Maxwell inhomogeneous wave equation, are given in the rotating wave and dipole coupling approximations. The microscopic development is used within the framework of full quantization, and the explicit effects of spontaneous relaxation for the host as well as the atoms are treated, together with corresponding fluctuations. Particular effects upon intrinsic adiabatic inversion, self-induced transparency, and lasing without inversion, are presented and discussed. In particular, the equilibrium, stationary, and dynamical effects of the host medium, and medium and field fluctuations upon local field effects are discussed.
An investigation is made of the dynamics of the superradiance of two-component quasiresonant media with similar frequencies of superradiant transitions. It is shown that variation of the detuning of the frequencies of the components can increase the peak intensity of a superradiance pulse and simultaneously reduce its temporal width. The range of the detuning of the frequencies of the components ensuring generation of the strongest and shortest superradiance pulse is determined. It is demonstrated that superradiance pulses emitted by two-component quasiresonant media may be delayed by a considerable time, which is significantly longer than the temporal width of the superradiance pulse itself.
The two—component superradiative medium consists of two species of atoms with the different dipole moments of the quasi-resonant transitions. The atoms with the smaller dipole moment are initially in the excited state, while е atoms of the second type are initially in the ground state. In the initial stage of the superradiance dynamics the first component is amplifying one, the second component is resonantly absorbing. By varying the concentration of the resonantly absorbing atoms it is possible to increase the intensity of superradiance in the few order of magnitude with respect to the monocomponent medium of the amplifying atoms alone. Here we show that the variation in the distribution of the component densities enables us the additional possibilities in the control of the superradiance pulse parameters. The additional increase in the order of magnitude for the peak pulse intensity is obtained at the optimal distribution. The nature of such variation in the pulse profile and its intensity is due to the opportunity for the effective spatial mode selection in the spatial inhomogeneous media. We discuss the algorithms of е numerical solution and show that the enhanced accuracy methods can be developed in this case.