Restricted Hilbert Transform for Non-Hermitian Management of Fields

Waqas Waseem Ahmed, R. Herrero, M. Botey, Y. Wu, K. Staliunas

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


Non-Hermitian systems exploiting the synergy between the properties of closed-conservative systems and open-dissipative (gain-loss) systems have recently become the playground to uncover unusual physical phenomena. Indeed, the spatial symmetry breaking in such systems allows tailoring of the wave propagation at will. Inspired by such a property, we propose a feasible approach based on local Hilbert transform to control the field flows in two- or higher-dimensional non-Hermitian systems. Moreover, we invent an iterative procedure to reduce the dimensionality of complex refractive-index parameter space to two, one, or zero dimensions, restricting the complex refractive index within practical limits. The proposal provides a flexible way to systematically design locally non-Hermitian systems realizable with a limited collection of realistic materials.
Original languageEnglish (US)
JournalPhysical Review Applied
Issue number4
StatePublished - Oct 7 2020

Bibliographical note

KAUST Repository Item: Exported on 2020-10-30
Acknowledged KAUST grant number(s): BAS/1/1626-01-01, OSR-2016-CRG5-2950
Acknowledgements: The work described here is partially supported by King Abdullah University of Science and Technology (KAUST) Office of Sponsored Research (OSR) under Grant No. OSR-2016-CRG5-2950, KAUST Baseline Research Fund BAS/1/1626-01-01, and NATO SPS research Grant No: 985048. K.S. acknowledges funding from the European Social Fund (Grant No. 09.3.3-LMT-K712-17- 0016) under grant agreement with the Research Council of Lithuania (LMTLT).


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