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Journal of Physics Conference Series

Enhancement of spontaneous emission probability in a disordered media

Konstantin M. Morozov, Konstantin A. Ivanov, Azat R. Gubaydullin, M. A. Kaliteevski

Published Dec 1, 2018• 0 citations
Publisher

Abstract

Was provided statistical analysis of Purcell effect dependence on emission frequency and emitter position in disordered structure. Fact that the presence of disorder in one-dimensional photonic crystals could lead to a modification of spontaneous emission rate in the frequency region corresponding to a photonic band gap (PBG) was demonstrated. Was shown, that amount of disorder regulates the two different regimes of the Purcell effect. In case of weak disorder Purcell enhancement of spontaneous emission occurs at PBG edges, and in case of strong disorder at PBG centre.

DOI
10.1088/1742-6596/1124/8/081047

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Was provided statistical analysis of Purcell effect dependence on emission frequency and emitter position in disordered structure. Fact that the presence of disorder in one-dimensional photonic crystals could lead to a modification of spontaneous emission rate in the frequency region corresponding to a photonic band gap (PBG) was demonstrated. Was shown, that amount of disorder regulates the two different regimes of the Purcell effect. In case of weak disorder Purcell enhancement of spontaneous emission occurs at PBG edges, and in case of strong disorder at PBG centre.
We consider the one-dimensional problem of imperfections' influence on the Purcell effect in photonic crystal system. We demonstrate that the presence of disorder in a one-dimensional photonic crystal can lead to a modification of the spontaneous emission rate in the photonic band gap (PBG) frequency region. We show that the amount of disorder regulates two different scenarios of the Purcell effect modification. In the case of weak disorder, the Purcell enhancement of the spontaneous emission occurs at PBG edges, and, in the case of strong disorder, it occurs at PBG centre.
Localized fields in the defect mode of one-dimensional photonic crystals with active impurity are studied with the help of the theory of spontaneous emission from two-level atoms embedded in photonic crystals. Numerical simulations demonstrate that the enhancement of stimulated radiation,as well as the phenomena of transmissivity larger than unity and the abnormality of group velocity close to the edges of photonic band gap,are related to the negative imaginary part of the complex effective refractive index of doped layers.This means that the complex effective refractive index has a negative imaginary part,and that the impurity state with very high quality factor and great state density will occur in the photonic forbidden band if active impurity is introduced into the defect layer properly.Therefore,the spontaneous emission can be enhanced,the amplitude of stimulated emission will be very large and it occurs most probably close to the edges of photonic band gap with the fundamental reason,the group velocity close to the edges of band gap is very small or abnormal.
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We consider the spontaneous emission of a two-level quantum emitter, such as an atom or a quantum dot, in a modulated time-dependent environment with a photonic band gap. An example of such an environment is a dynamical photonic crystal or any other environment with a band gap whose properties are modulated in time, in the effective mass approximation. After introducing our model of a dynamical photonic crystal, we show that it allows new possibilities to control and tailor the physical features of the emitted radiation, specifically its frequency spectrum. In the weak-coupling limit and in an adiabatic case, we obtain the emitted spectrum and we show the appearance of two lateral peaks due to the presence of the modulated environment, separated from the central peak by the modulation frequency. We show that the two side peaks are not symmetric in height, and that their height ratio can be exploited to investigate the density of states of the environment. Our results show that a dynamical environment can give further possibilities to modify the spontaneous emission features, such as its spectrum and emission rate, with respect to a static one. Observability of the phenomena we obtain is discussed, as well as relevance for tailoring and engineering radiative processes.