Coupling and Coalescence of Localized Modes near an Exceptional Point in Passive and Active Disordered Media

Patrick Sebbah (1) , Nicolas Bachelard , Bhupesh Kumar , Rachid Touzani (2)

1 Bar-Ilan University [Israël]
2 LMBP - Laboratoire de Mathématiques Blaise Pascal

In an open disordered medium, the degree of non-hermiticity can be tuned by varying the degree of scattering. Here we investigate the coupling of Anderson-localized modes in passive and active disordered systems. We demonstrate numerically the existence of an exceptional point (EP) at which two localized states coalesce in a 2D passive random medium. We also show experimentally how the lasing emission of a 1D localized random laser can be affected by the presence of an EP.

Domaines: Equations aux dérivées partielles [math.AP]; Physique des Hautes Energies - Théorie [hep-th]

Patrick Sebbah, Nicolas Bachelard, Bhupesh Kumar, Rachid Touzani. Coupling and Coalescence of Localized Modes near an Exceptional Point in Passive and Active Disordered Media. 10th International Conference on Metamaterials, Photonic Crystals and Plasmonics, Jul 2019, Lisbonne, Portugal. ⟨hal-02394798⟩