Non-Hermitian Photonic Lattices: tutorial

Non-Hermitian photonic lattices combine the peculiar consequences of energy non-conservation with physics bandstructures, giving rise to a variety exotic properties not found in conventional materials or metamaterials. In this tutorial, we introduce key concepts design and implementation non-Hermitian lattices, including general features lattice Hamiltonians their role symmetries, topological chracterization bandstructures. We survey several important designs, as well platforms on which they can be realized. Finally, discuss possibilities for future developments field.