Random Resonators and Prelocalized Modes in Disordered Dielectric Films

Apalkov, Vadym; Raǐkh, M. É.; Shapiro, Boris

doi:10.1103/physrevlett.89.016802

Cited by 159 publications

(125 citation statements)

References 31 publications

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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.…”

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confidence: 99%

Spatial Extent of Random Laser Modes

Molen¹,

Tjerkstra²,

Mosk³

et al. 2007

Phys. Rev. Lett.

146

119

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We have experimentally studied the distribution of the spatial extent of modes and the crossover from essentially single-mode to distinctly multimode behavior inside a porous gallium phosphide random laser. This system serves as a paragon for random lasers due to its exemplary high index contrast. In the multimode regime, we observed mode competition. We have measured the distribution of spectral mode spacings in our emission spectra and found level repulsion that is well described by the Gaussian orthogonal ensemble of random-matrix theory.

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confidence: 99%

Spatial Extent of Random Laser Modes

Molen¹,

Tjerkstra²,

Mosk³

et al. 2007

Phys. Rev. Lett.

146

119

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“…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].…”

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confidence: 99%

Speckle Instability: Coherent Effects in Nonlinear Disordered Media

Grémaud

Wellens

2010

Phys. Rev. Lett.

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We numerically investigate the properties of speckle patterns formed by nonlinear point scatterers. We show that, in the weak localization regime, dynamical instability appears, eventually leading to chaotic behavior of the system. Analysing the statistical properties of the instability thresholds for different values of the system size and disorder strength, a scaling law is emphasized. The later is also found to govern the smallest decay rate of the linear system, putting thus forward the crucial importance of interference effects. This is also underlined by the fact that coherent backscattering is still observed even in the chaotic regime.PACS numbers: 42.25.Dd 42.65.sf 42.65.-k As first described by Anderson in 1958, the impact of disorder on the transport properties of waves, depending on the dimensionality and the disorder strength, ranges from weak to strong localization. In the case of matter waves, the localization of Bose-Einstein condensates (BEC) is, at present, a very active research topic investigated by several experimental and theoretical groups [1,2,3,4,5,6,7,8], in particular with the recent observation of the (1D) localization of matter waves in a disordered optical potentials [9,10]. Although, in these experiments, the atom-atom interactions were negligible, the basic question remains how effects of interference between multiply scattered waves, such as weak or strong localization, are affected by interactions.BEC's in disordered potentials appear to be good candidates to study these questions, since, in the mean field regime, the condensate is still described by a single coherent wave function governed by a nonlinear wave equation (Gross-Pitaevski equation). Thus, the condensate in principle retains its ability to display interference effects also in presence of (not too strong) interactions. Similar nonlinear equations describe propagation of light in disordered nonlinear media [11]. In contrast, the situation is quite different in the case of electronic transport [12], where the interactions combined with finite temperature effects give rise to dephasing, which in general destroy the disorder-induced coherent effects.Even if the theoretical description of coherent effects in nonlinear disordered systems is far from complete, an important step was done recently by the development of a diagrammatic theory for coherent backscattering in presence of nonlinearity [13]. This approach relies on the assumption of a unique stationary solution of the nonlinear wave equation under consideration. This assumption is expected to be valid for very weak nonlinearities (which, however, may still considerably affect the height of the coherent backscattering cone [8,13]). On the other hand, it is known that larger nonlinearities can induce speckle instabilities, such that no stationary state is reached at long times [8,14]. A clear explanation for the physical origin of this effect, however, is still missing. Theoretical predictions of the nonlinearity threshold above which instabilities develop, were attemp...

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“…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.…”

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Mode repulsion and mode coupling in random lasers

et al. 2003

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We studied experimentally and theoretically the interaction of lasing modes in random media. In a homogeneously broadened gain medium, cross gain saturation leads to spatial repulsion of lasing modes. In an inhomogeneously broadened gain medium, mode repulsion occurs in the spectral domain. Some lasing modes are coupled through photon hopping or electron absorption and reemission. Under pulsed pumping, weak coupling of two modes leads to synchronization of their lasing action. Strong coupling of two lasing modes results in anti-phased oscillations of their intensities.Typeset using REVT E X 1

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Random Resonators and Prelocalized Modes in Disordered Dielectric Films

Cited by 159 publications

References 31 publications

Spatial Extent of Random Laser Modes

Spatial Extent of Random Laser Modes

Speckle Instability: Coherent Effects in Nonlinear Disordered Media

Mode repulsion and mode coupling in random lasers

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