Non-Hermitian Light Management Based on Local Hilbert Transform

Type
Conference Paper

Authors
Staliunas, K.
Ahmed, Waqas Waseem
Botey, M.
Herrero, R.

KAUST Department
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Online Publication Date
2019-09-20

Print Publication Date
2019-07

Date
2019-09-20

Abstract
We demonstrate a novel idea of nonhermitian management of light based on a local Hilbert transform. Local Hilbert transform, a substantial modification of classical Hilbert transform allows to design non-Hermitian vector fields of arbitrary directionality, p (r), with desired shapes and topologies. We derive a local Hilbert transform to systematically build such potentials, by modifying background potentials (being either regular or random, extended or localized). In particular, we explore particular directionality fields, for instance in the form of a focus to create sinks for probe fields (which could help to increase absorption at the sink), or to generate vortices in the probe fields. Physically, the proposed mechanism provide a flexible new tool for dynamically shaping and precise control over probe fields leading to novel effects in nonlinear wave dynamics, and in particular in broad area microlasers.

Citation
Staliunas, K., Ahmed, W. W., Botey, M., & Herrero, R. (2019). Non-Hermitian Light Management Based on Local Hilbert Transform. 2019 21st International Conference on Transparent Optical Networks (ICTON). doi:10.1109/icton.2019.8840010

Publisher
Institute of Electrical and Electronics Engineers (IEEE)

Conference/Event Name
21st International Conference on Transparent Optical Networks, ICTON 2019

DOI
10.1109/icton.2019.8840010

Additional Links
https://ieeexplore.ieee.org/document/8840010/

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