2002
DOI: 10.1103/physrevlett.89.016802
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Random Resonators and Prelocalized Modes in Disordered Dielectric Films

Abstract: Areal density of disorder-induced resonators with a high quality factor, Q ≫ 1, in a film with fluctuating refraction index is calculated theoretically. We demonstrate that for a given kl > 1, where k is the light wave vector, and l is the transport mean free path, when on average the light propagation is diffusive, the likelihood for finding a random resonator increases dramatically with increasing the correlation radius of the disorder. Parameters of most probable resonators as functions of Q and kl are foun… Show more

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Cited by 159 publications
(125 citation statements)
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“…In the past few years, a debate on the origin of these spikes has started [14 -22]. On one hand, Cao et al [16], as well as Sebbah and Vanneste [15] and Apalkov et al [17], attribute the spikes to local cavities (local modes, LM) for light, which are formed by multiple scattering. On the other hand, Mujumdar et al [14], as well as Pinheiro and Sampaio [21], attribute the spikes to single spontaneous emission events that, by chance, follow very long light paths (open modes, OM) in the sample and hence pick up a very large gain.…”
mentioning
confidence: 99%
“…In the past few years, a debate on the origin of these spikes has started [14 -22]. On one hand, Cao et al [16], as well as Sebbah and Vanneste [15] and Apalkov et al [17], attribute the spikes to local cavities (local modes, LM) for light, which are formed by multiple scattering. On the other hand, Mujumdar et al [14], as well as Pinheiro and Sampaio [21], attribute the spikes to single spontaneous emission events that, by chance, follow very long light paths (open modes, OM) in the sample and hence pick up a very large gain.…”
mentioning
confidence: 99%
“…This difference strongly emphasizes that interference effects, which enhance the lifetime of a particular single mode with respect to the diffusive Thouless time, are deeply involved in the speckle instability. Due to its long lifetime, such a "prelocalized" mode [20] almost behaves like a perfect cavity, and is therefore much more severely affected by the nonlinearity than short-lived modes and, thus, eventually allows instability to settle. We note that a similar argument was also put forward to explain the appearance of discrete peaks in the emission spectrum of the coherent random laser [21].…”
mentioning
confidence: 99%
“…Over the past few years, there have been many studies on random lasers with coherent feedback. [1][2][3][4][5][6][7][8][9][10][11][12][13][14] One important aspect of a random laser is the interaction of the lasing modes, which has not been well understood. [5,15,16] As previously pointed out [10], adding optical gain to a random medium creates a new path to study wave transport and localization.…”
mentioning
confidence: 99%