A Hilbert Transform method for measuring linear and nonlinear phase shifts imparted by metasurfaces

Laura Wynne; Hamish Ballantyne; Xin Li; Andrea Di Falco; Sebastian Andreas Schulz

doi:10.1016/j.photonics.2020.100844

A Hilbert Transform method for measuring linear and nonlinear phase shifts imparted by metasurfaces

Laura Wynne, Hamish Ballantyne, Xin Li, Andrea Di Falco, Sebastian Andreas Schulz^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

Nonlinear metasurfaces that dynamically manipulate the phase of a passing light
beam are of interest for a wide range of applications. The controlled operation of
such devices requires accurate measurements of the optical transmission phase
in both the linear and nonlinear regime, an experimentally challenging task.
In this paper we show that this phase information can be extracted directly
from simple transmission measurements, using a Hilbert transform approach,
removing the need for complicated, interferometric experimental set-ups, and
enabling direct measurements of the phase in conditions not suitable for other
traditional approaches, such Z-scan measurements.

Original language	English
Article number	100844
Journal	Photonics and Nanostructures : Fundamentals and Applications
Volume	In press
Early online date	1 Oct 2020
DOIs	https://doi.org/10.1016/j.photonics.2020.100844
Publication status	E-pub ahead of print - 1 Oct 2020

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Copyright © 2020 Elsevier B.V. All rights reserved. This work has been made available online in accordance with publisher policies or with permission. Permission for further reuse of this content should be sought from the publisher or the rights holder. This is the author created accepted manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at https://doi.org/10.1016/j.photonics.2020.100844.
Accepted author manuscript, 705 KBLicence: CC BY-NC-ND

A Hilbert Transform method for measuring linear and nonlinear phase shifts imparted by metasurfaces (dataset)
Schulz, S. A. (Creator), Wynne, L. (Creator) & Di Falco, A. (Creator), University of St Andrews, 4 Mar 2020
DOI: 10.17630/fe83de2f-6042-46ea-a4d6-7ee7d994e3ce
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title = "A Hilbert Transform method for measuring linear and nonlinear phase shifts imparted by metasurfaces",

abstract = "Nonlinear metasurfaces that dynamically manipulate the phase of a passing lightbeam are of interest for a wide range of applications. The controlled operation ofsuch devices requires accurate measurements of the optical transmission phasein both the linear and nonlinear regime, an experimentally challenging task.In this paper we show that this phase information can be extracted directlyfrom simple transmission measurements, using a Hilbert transform approach,removing the need for complicated, interferometric experimental set-ups, andenabling direct measurements of the phase in conditions not suitable for othertraditional approaches, such Z-scan measurements.",

author = "Laura Wynne and Hamish Ballantyne and Xin Li and {Di Falco}, Andrea and Schulz, {Sebastian Andreas}",

note = "Funding: This work is funded through the DASA ”Metasurfaces for defence and security” grant ACC6004047. Laura Wynne is funded through an EPSRC DTA scholarship. Hamish Ballantyne acknowledges funding through the Royal Society Research Grant RGS\R2\180054. ",

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doi = "10.1016/j.photonics.2020.100844",

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T1 - A Hilbert Transform method for measuring linear and nonlinear phase shifts imparted by metasurfaces

AU - Wynne, Laura

AU - Ballantyne, Hamish

AU - Li, Xin

AU - Di Falco, Andrea

AU - Schulz, Sebastian Andreas

N1 - Funding: This work is funded through the DASA ”Metasurfaces for defence and security” grant ACC6004047. Laura Wynne is funded through an EPSRC DTA scholarship. Hamish Ballantyne acknowledges funding through the Royal Society Research Grant RGS\R2\180054.

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Y1 - 2020/10/1

N2 - Nonlinear metasurfaces that dynamically manipulate the phase of a passing lightbeam are of interest for a wide range of applications. The controlled operation ofsuch devices requires accurate measurements of the optical transmission phasein both the linear and nonlinear regime, an experimentally challenging task.In this paper we show that this phase information can be extracted directlyfrom simple transmission measurements, using a Hilbert transform approach,removing the need for complicated, interferometric experimental set-ups, andenabling direct measurements of the phase in conditions not suitable for othertraditional approaches, such Z-scan measurements.

AB - Nonlinear metasurfaces that dynamically manipulate the phase of a passing lightbeam are of interest for a wide range of applications. The controlled operation ofsuch devices requires accurate measurements of the optical transmission phasein both the linear and nonlinear regime, an experimentally challenging task.In this paper we show that this phase information can be extracted directlyfrom simple transmission measurements, using a Hilbert transform approach,removing the need for complicated, interferometric experimental set-ups, andenabling direct measurements of the phase in conditions not suitable for othertraditional approaches, such Z-scan measurements.

U2 - 10.1016/j.photonics.2020.100844

DO - 10.1016/j.photonics.2020.100844

M3 - Article

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VL - In press

JO - Photonics and Nanostructures : Fundamentals and Applications

JF - Photonics and Nanostructures : Fundamentals and Applications

M1 - 100844

ER -

A Hilbert Transform method for measuring linear and nonlinear phase shifts imparted by metasurfaces

Abstract

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A Hilbert Transform method for measuring linear and nonlinear phase shifts imparted by metasurfaces (dataset)

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