Restricted Hilbert transform for feasible light management

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

doi:10.1117/12.2594634

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 proceeding › Conference contribution

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.

Original language	English (US)
Title of host publication	Active Photonic Platforms XIII
Publisher	SPIE
ISBN (Print)	9781510644304
DOIs	https://doi.org/10.1117/12.2594634
State	Published - Aug 1 2021

Bibliographical note

KAUST Repository Item: Exported on 2021-10-14
Acknowledged KAUST grant number(s): BAS/1/1626-01-01, OSR-2016-CRG5-2950
Acknowledgements: We acknowledge the financial support of Spanish Ministerio de Ciencia e Innovación (PID2019-109175GB-C21). Research Council of Lithuiania (LMTLT), and King Abdullah University of Science and Technology (KAUST) Office of Sponsored Research (OSR) under Award No. OSR-2016-CRG5-2950, KAUST Baseline Research Fund BAS/1/1626-01-01, and by NATO SPS research grant No: 985048.

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title = "Restricted Hilbert transform for feasible light management",

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.",

author = "Muriel Botey and Ahmed, {Waqas Waseem} and Ramon Herrero and Ying Wu and Kestutis Staliunas",

note = "KAUST Repository Item: Exported on 2021-10-14 Acknowledged KAUST grant number(s): BAS/1/1626-01-01, OSR-2016-CRG5-2950 Acknowledgements: We acknowledge the financial support of Spanish Ministerio de Ciencia e Innovaci{\'o}n (PID2019-109175GB-C21). Research Council of Lithuiania (LMTLT), and King Abdullah University of Science and Technology (KAUST) Office of Sponsored Research (OSR) under Award No. OSR-2016-CRG5-2950, KAUST Baseline Research Fund BAS/1/1626-01-01, and by NATO SPS research grant No: 985048.",

year = "2021",

month = aug,

day = "1",

doi = "10.1117/12.2594634",

language = "English (US)",

isbn = "9781510644304",

booktitle = "Active Photonic Platforms XIII",

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AU - Botey, Muriel

AU - Ahmed, Waqas Waseem

AU - Herrero, Ramon

AU - Wu, Ying

AU - Staliunas, Kestutis

N1 - KAUST Repository Item: Exported on 2021-10-14 Acknowledged KAUST grant number(s): BAS/1/1626-01-01, OSR-2016-CRG5-2950 Acknowledgements: We acknowledge the financial support of Spanish Ministerio de Ciencia e Innovación (PID2019-109175GB-C21). Research Council of Lithuiania (LMTLT), and King Abdullah University of Science and Technology (KAUST) Office of Sponsored Research (OSR) under Award No. OSR-2016-CRG5-2950, KAUST Baseline Research Fund BAS/1/1626-01-01, and by NATO SPS research grant No: 985048.

PY - 2021/8/1

Y1 - 2021/8/1

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10754/672835

UR - https://www.spiedigitallibrary.org/conference-proceedings-of-spie/11796/2594634/Restricted-Hilbert-transform-for-feasible-light-management/10.1117/12.2594634.full

UR - http://www.scopus.com/inward/record.url?scp=85116035328&partnerID=8YFLogxK

U2 - 10.1117/12.2594634

DO - 10.1117/12.2594634

M3 - Conference contribution

SN - 9781510644304

BT - Active Photonic Platforms XIII

PB - SPIE

ER -

Restricted Hilbert transform for feasible light management

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