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Bulletin of the Russian Academy of Sciences Physics

Cooperative effects in a quartz medium with quantum dots

Alina V. Golovanova, Mikhail Yu. Gubin, M. G. Gladush, A. V. Prokhorov

Published Jul 1, 2016• 9 citations
Publisher

Abstract

Features of the generation of super radiance short pulses in a dielectric medium with quantum dots allowing for the nonlinear dissipative effects of the local field are considered. It is shown that the problem can be reduced to an equation of a nonlinear pendulum with an additional term for the harmonic loss/gain.
DOI
10.3103/s1062873816070133

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A semiclassical method is used to study cooperative spontaneous radiation (superradiance) emitted from an excited medium in a thin dielectric waveguide subject to an allowance for the highest-Q normal wave in the waveguide (constant profile fields). A radiation pulse is described by a nonlinear equation which represents weakening of the interaction between matter and a field of constant profile in the case of a large-area pulse. This results in partial utilization of the stored energy, reduces the steepness of the edges of a pulse and its maximum intensity, and suppresses oscillation replicas.
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This chapter investigates the transmission and reflection properties of a resonant nonlinear medium when the incoming wave is a short pulse, generally shorter than the relaxation times of the atoms in the medium. It shows that if the lifetime of the macroscopic polarization is long enough, and neither the incident field nor the relaxation processes reduce it, then the field originating from this polarization gives rise to effects which may be called cooperative reflection and transmission. The chapter considers the resonant reflection from the surfaces of the inverted medium of waves propagating inside the medium. It uses this effect to explain the synchronization of the counter-propagating pulses in super-radiance which has been observed in KCl:O2– [FSS84a]. There are several proposals to explain why this synchronization of super-radiance appears in solids.
Interest in the processes of generation of oscillations in super radiance regimes began with the well-known work by Dicke RN [1].Super radiance is usually realized in open systems when high-frequency energy is removed from the system.To a certain extent, this energy release can be equivalent to dissipative processes of a distributed type.Previously, dissipative regimes of excitation or generation of an electromagnetic wave in open waveguide resonator systems such as a traveling wave lamp traditionally corresponded to the case of interaction of a waveguide electromagnetic field with radiating particles, most often with moving beam electrons (see example [2]) or oscillators.Since the system is open, the field leaves the waveguide, which for short systems is equivalent to losses or dissipative processes of a distributed type.The field damping factor in such a waveguide or resonator without emitters or generators for such generation or amplification modes can be greater than the development increment of the generation process in the presence only these active elements without dissipation or losses [3][4][5].In particular, we can consider the case of the interaction of a system of fixed oscillators with the field of an open resonator.In this case, the oscillators did not interact directly with each other, but only through the resonator field common to the system.