Complexity of 2D random laser modes at the transition from weak scattering to Anderson localization
arXiv:0807.1663 · doi:10.1103/PhysRevA.79.041802
Abstract
The spatial extension and complexity of the eigenfunctions of an open finite-size two-dimensional (2D) random system are systematically studied for a random collection of systems ranging from weakly scattering to localized. The eigenfunctions are obtained by introducing gain in the medium and pumping just above threshold. All lasing modes are found to correspond to quasimodes of the passive system, for all regimes of propagation. We demonstrate the existence of multipeaked quasimodes or necklace states in 2D at the transition from localized to diffusive, resulting from the coupling of localized states.
Submitted to PRL
References in corpus (18)
- Anderson localization of a non-interacting Bose-Einstein condensate
- Direct observation of Anderson localization of matter-waves in a controlled disorder
- Localization of ultrasound in a three-dimensional elastic network
- Observation of the critical regime near Anderson localization of light
- Strong Interactions in Multimode Random Lasers
- Supporting Online Material for "Strong Interactions in Multimode Random Lasers"
- Random Resonators and Prelocalized Modes in Disordered Dielectric Films
- Spatial Extent of Random Laser Modes
- Random lasing in weakly scattering systems
- Dynamics of Anderson localization in open 3D media
- Extended quasimodes within nominally localized random waveguides
- Statistical studies of random lasing modes and amplified spontaneous emission spikes in weakly scattering systems
- Coupling and Level Repulsion in the Localized Regime: From Isolated to Quasi-Extended Modes
- Intensity Fluctuations in Closed and Open Systems
- A semiclassical theory of the Anderson transition
- Wavefunction statistics in open chaotic billiards
- Measurement of long-range wavefunction correlations in an open microwave billiard
- Inhomogeneous losses and complexness of wave functions in chaotic cavities
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- Quasimodes of a chaotic elastic cavity with increasing local losses
- Hidden Modes in Open Disordered Media: Analytical, Numerical, and Experimental Results
- Characterizing Short Necklace States in Logarithmic Transmission Spectrum of Strongly Localized Systems
- A re-formulization of the transfer matrix method for calculating wave-functions in higher dimensional disordered open systems
- Modal complexity as a metric for Anderson localization
- Modes of Random Lasers