Presentation + Paper
1 August 2021 Restricted Hilbert transform for feasible light management
Muriel Botey, Waqas W. Ahmed, Ramon Herrero, Ying Wu, Kestutis Staliunas
Author Affiliations +
Abstract
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.
Conference Presentation
© (2021) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Muriel Botey, Waqas W. Ahmed, Ramon Herrero, Ying Wu, and Kestutis Staliunas "Restricted Hilbert transform for feasible light management", Proc. SPIE 11796, Active Photonic Platforms XIII, 1179614 (1 August 2021); https://doi.org/10.1117/12.2594634
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KEYWORDS
Modulation

Scattering

Dielectrics

Fourier transforms

Complex systems

Semiconductor lasers

Vertical cavity surface emitting lasers

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