Novel physical phenomena arising from the interplay between gain and loss is beyond the recent focus on Non-Hermitian systems. The spatial symmetry breaking in such systems may lead to an arbitrarily control of the flow of light. We present an approach to design Non-Hermitian systems on demand, with desired shapes and topologies based on a modification of the classical Hilbert transform. The procedure allows restricting the dimensionality of the complex index parameter space, keeping the physical properties within practical limits and realizable with a finite collection of materials.
Botey, M., Ahmed, W. W., Wu, Y., Herrero, R., & Staliunas, K. (2020). Towards a Feasible Non-Hermitian Light Management. 2020 22nd International Conference on Transparent Optical Networks (ICTON). doi:10.1109/icton51198.2020.9203303