Restricted Hilbert transform for feasible light management

Muriel Botey, Waqas Waseem Ahmed, Ramon Herrero, Ying Wu, Kestutis Staliunas

Research output: Chapter in Book/Report/Conference proceedingConference contribution


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 languageEnglish (US)
Title of host publicationActive Photonic Platforms XIII
ISBN (Print)9781510644304
StatePublished - Aug 1 2021


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