Restricted Hilbert Transform for Non-Hermitian Management of Fields
KAUST DepartmentApplied Mathematics and Computational Science Program
Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division
Waves in Complex Media Research Group
KAUST Grant NumberBAS/1/1626-01-01
Preprint Posting Date2020-02-05
Permanent link to this recordhttp://hdl.handle.net/10754/661710
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AbstractNon-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.
CitationAhmed, W. W., Herrero, R., Botey, M., Wu, Y., & Staliunas, K. (2020). Restricted Hilbert Transform for Non-Hermitian Management of Fields. Physical Review Applied, 14(4). doi:10.1103/physrevapplied.14.044010
SponsorsThe 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).
PublisherAmerican Physical Society (APS)
JournalPhysical Review Applied