Complexity of two-dimensional quasimodes at the transition from weak scattering to Anderson localization

C. Vanneste, P. Sebbah
2009 Physical Review A. Atomic, Molecular, and Optical Physics  
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
more » ... asimodes or necklace states in 2D at the transition from localized to diffusive, resulting from the coupling of localized states.
doi:10.1103/physreva.79.041802 fatcat:jpym7nay2jca5dd2mh2baeoaou