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Roadmap on superoscillations

Roadmap on superoscillations
Roadmap on superoscillations

Superoscillations are band-limited functions with the counterintuitive property that they can vary arbitrarily faster than their fastest Fourier component, over arbitrarily long intervals. Modern studies originated in quantum theory, but there were anticipations in radar and optics. The mathematical understanding - still being explored - recognises that functions are extremely small where they superoscillate; this has implications for information theory. Applications to optical vortices, sub-wavelength microscopy and related areas of nanoscience are now moving from the theoretical and the demonstrative to the practical. This Roadmap surveys all these areas, providing background, current research, and anticipating future developments.

imaging, information theory, optical beams
2040-8978
1-36
Berry, Michael
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Zheludev, Nikolay
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Aharonov, Yakir
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Colombo, Fabrizio
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Sabadini, Irene
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Struppa, Daniele C.
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Tollaksen, Jeff
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Rogers, Edward T.F.
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Qin, Fei
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Hong, Minghui
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Luo, Xiangang
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Remez, Roei
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Arie, Ady
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Götte, Jörg B.
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Dennis, Mark R.
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Wong, Alex M.H.
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Eleftheriades, George V.
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Eliezer, Yaniv
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Bahabad, Alon
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Chen, Gang
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Wen, Zhongquan
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Liang, Gaofeng
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Hao, Chenglong
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Qiu, C. W.
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Kempf, Achim
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Katzav, Eytan
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Schwartz, Moshe
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Berry, Michael
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Zheludev, Nikolay
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Aharonov, Yakir
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Colombo, Fabrizio
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Sabadini, Irene
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Struppa, Daniele C.
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Tollaksen, Jeff
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Rogers, Edward T.F.
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Qin, Fei
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Hong, Minghui
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Luo, Xiangang
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Remez, Roei
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Arie, Ady
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Götte, Jörg B.
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Dennis, Mark R.
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Wong, Alex M.H.
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Eleftheriades, George V.
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Eliezer, Yaniv
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Bahabad, Alon
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Chen, Gang
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Wen, Zhongquan
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Liang, Gaofeng
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Hao, Chenglong
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Qiu, C. W.
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Kempf, Achim
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Katzav, Eytan
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Schwartz, Moshe
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Berry, Michael, Zheludev, Nikolay, Aharonov, Yakir, Colombo, Fabrizio, Sabadini, Irene, Struppa, Daniele C., Tollaksen, Jeff, Rogers, Edward T.F., Qin, Fei, Hong, Minghui, Luo, Xiangang, Remez, Roei, Arie, Ady, Götte, Jörg B., Dennis, Mark R., Wong, Alex M.H., Eleftheriades, George V., Eliezer, Yaniv, Bahabad, Alon, Chen, Gang, Wen, Zhongquan, Liang, Gaofeng, Hao, Chenglong, Qiu, C. W., Kempf, Achim, Katzav, Eytan and Schwartz, Moshe (2019) Roadmap on superoscillations. Journal of Optics (United Kingdom), 21 (5), 1-36, [053002]. (doi:10.1088/2040-8986/ab0191).

Record type: Review

Abstract

Superoscillations are band-limited functions with the counterintuitive property that they can vary arbitrarily faster than their fastest Fourier component, over arbitrarily long intervals. Modern studies originated in quantum theory, but there were anticipations in radar and optics. The mathematical understanding - still being explored - recognises that functions are extremely small where they superoscillate; this has implications for information theory. Applications to optical vortices, sub-wavelength microscopy and related areas of nanoscience are now moving from the theoretical and the demonstrative to the practical. This Roadmap surveys all these areas, providing background, current research, and anticipating future developments.

Text
Berry_2019_J._Opt._21_053002 - Version of Record
Available under License Creative Commons Attribution.
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More information

Accepted/In Press date: 24 January 2019
e-pub ahead of print date: 18 April 2019
Keywords: imaging, information theory, optical beams

Identifiers

Local EPrints ID: 433278
URI: http://eprints.soton.ac.uk/id/eprint/433278
ISSN: 2040-8978
PURE UUID: e2ac45a8-242d-4408-857f-6046008661b4
ORCID for Nikolay Zheludev: ORCID iD orcid.org/0000-0002-1013-6636

Catalogue record

Date deposited: 13 Aug 2019 16:30
Last modified: 26 Nov 2021 02:36

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Contributors

Author: Michael Berry
Author: Yakir Aharonov
Author: Fabrizio Colombo
Author: Irene Sabadini
Author: Daniele C. Struppa
Author: Jeff Tollaksen
Author: Edward T.F. Rogers
Author: Fei Qin
Author: Minghui Hong
Author: Xiangang Luo
Author: Roei Remez
Author: Ady Arie
Author: Jörg B. Götte
Author: Mark R. Dennis
Author: Alex M.H. Wong
Author: George V. Eleftheriades
Author: Yaniv Eliezer
Author: Alon Bahabad
Author: Gang Chen
Author: Zhongquan Wen
Author: Gaofeng Liang
Author: Chenglong Hao
Author: C. W. Qiu
Author: Achim Kempf
Author: Eytan Katzav
Author: Moshe Schwartz

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