CMX Lunch Seminar

The skin effect is the phenomenon whereby the bulk eigenmodes of a non-Hermitian system are all localised at one edge of an open system. I will present the mathematical theory of the non-Hermitian skin effect in systems of finitely and infinitely many sub-wavelength resonators with a non-Hermitian imaginary gauge potential and analyse its resonance in the deep subwavelength regime.

I will particularly focus on localisation results arising from the Toeplitz nature of the discrete approximation of the system.

A part of the presentation will touch on disordered localisation effects similar to Anderson localisation.