A feasible restricted Hilbert Transform (HT) is presented to solve the challenging practical realization of non-Hermitian systems, restricting the complex susceptibility within practical limits. Beyond closed-conservative systems, the physics of non-Hermitian systems has become the playground to uncover unusual phenomena. Whilst Kramers Kronig relations break the temporal symmetry leading to causality, we proposed an analogous generalized Hilbert Transform (HT) to engineer complex media holding a non-isotropic response, thus breaking the spatial symmetry. Applications of such HT range from tailoring the field flows in arbitrary dimensions with particular application on VCSELS and edge-emitting lasers to cloaking arbitrary objects.
|Original language||English (US)|
|Title of host publication||Active Photonic Platforms XIII|
|State||Published - Aug 1 2021|
Bibliographical noteKAUST Repository Item: Exported on 2021-10-14
Acknowledged KAUST grant number(s): BAS/1/1626-01-01, OSR-2016-CRG5-2950
Acknowledgements: We acknowledge the financial support of Spanish Ministerio de Ciencia e Innovación (PID2019-109175GB-C21). Research Council of Lithuiania (LMTLT), and King Abdullah University of Science and Technology (KAUST) Office of Sponsored Research (OSR) under Award No. OSR-2016-CRG5-2950, KAUST Baseline Research Fund BAS/1/1626-01-01, and by NATO SPS research grant No: 985048.