Roadmap on superoscillations

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

doi:10.1088/2040-8986/ab0191

Roadmap on superoscillations

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

^*Corresponding author for this work

Racah Institute of Physics

Research output: Contribution to journal › Review article › peer-review

134 Scopus citations

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.

Original language	English
Article number	053002
Journal	Journal of Optics (United Kingdom)
Volume	21
Issue number	5
DOIs	https://doi.org/10.1088/2040-8986/ab0191
State	Published - 18 Apr 2019

Bibliographical note

Publisher Copyright:
© 2019 IOP Publishing Ltd.

Keywords

imaging
information theory
optical beams

Access to Document

10.1088/2040-8986/ab0191

Cite this

Berry, M., Zheludev, N., Aharonov, Y., Colombo, F., Sabadini, I., Struppa, D. C., Tollaksen, J., Rogers, E. T. F., Qin, F., Hong, M., Luo, X., Remez, R., Arie, A., Götte, J. B., Dennis, M. R., Wong, A. M. H., Eleftheriades, G. V., Eliezer, Y., Bahabad, A., ... Schwartz, M. (2019). Roadmap on superoscillations. Journal of Optics (United Kingdom), 21(5), Article 053002. https://doi.org/10.1088/2040-8986/ab0191

@article{e9b89dab66ed4482a883bc24d8de5251,

title = "Roadmap on superoscillations",

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.",

keywords = "imaging, information theory, optical beams",

author = "Michael Berry and Nikolay Zheludev and Yakir Aharonov and Fabrizio Colombo and Irene Sabadini and Struppa, {Daniele C.} and Jeff Tollaksen and Rogers, {Edward T.F.} and Fei Qin and Minghui Hong and Xiangang Luo and Roei Remez and Ady Arie and G{\"o}tte, {J{\"o}rg B.} and Dennis, {Mark R.} and Wong, {Alex M.H.} and Eleftheriades, {George V.} and Yaniv Eliezer and Alon Bahabad and Gang Chen and Zhongquan Wen and Gaofeng Liang and Chenglong Hao and Qiu, {C. W.} and Achim Kempf and Eytan Katzav and Moshe Schwartz",

note = "Publisher Copyright: {\textcopyright} 2019 IOP Publishing Ltd.",

year = "2019",

month = apr,

day = "18",

doi = "10.1088/2040-8986/ab0191",

language = "אנגלית",

volume = "21",

journal = "Journal of Optics (United Kingdom)",

issn = "2040-8978",

publisher = "IOP Publishing Ltd.",

number = "5",

}

Berry, M, Zheludev, N, Aharonov, Y, Colombo, F, Sabadini, I, Struppa, DC, Tollaksen, J, Rogers, ETF, Qin, F, Hong, M, Luo, X, Remez, R, Arie, A, Götte, JB, Dennis, MR, Wong, AMH, Eleftheriades, GV, Eliezer, Y, Bahabad, A, Chen, G, Wen, Z, Liang, G, Hao, C, Qiu, CW, Kempf, A, Katzav, E & Schwartz, M 2019, 'Roadmap on superoscillations', Journal of Optics (United Kingdom), vol. 21, no. 5, 053002. https://doi.org/10.1088/2040-8986/ab0191

TY - JOUR

T1 - Roadmap on superoscillations

AU - Berry, Michael

AU - Zheludev, Nikolay

AU - Aharonov, Yakir

AU - Colombo, Fabrizio

AU - Sabadini, Irene

AU - Struppa, Daniele C.

AU - Tollaksen, Jeff

AU - Rogers, Edward T.F.

AU - Qin, Fei

AU - Hong, Minghui

AU - Luo, Xiangang

AU - Remez, Roei

AU - Arie, Ady

AU - Götte, Jörg B.

AU - Dennis, Mark R.

AU - Wong, Alex M.H.

AU - Eleftheriades, George V.

AU - Eliezer, Yaniv

AU - Bahabad, Alon

AU - Chen, Gang

AU - Wen, Zhongquan

AU - Liang, Gaofeng

AU - Hao, Chenglong

AU - Qiu, C. W.

AU - Kempf, Achim

AU - Katzav, Eytan

AU - Schwartz, Moshe

PY - 2019/4/18

Y1 - 2019/4/18

N2 - 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.

AB - 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.

KW - imaging

KW - information theory

KW - optical beams

UR - http://www.scopus.com/inward/record.url?scp=85067794724&partnerID=8YFLogxK

U2 - 10.1088/2040-8986/ab0191

DO - 10.1088/2040-8986/ab0191

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.systematicreview???

AN - SCOPUS:85067794724

SN - 2040-8978

VL - 21

JO - Journal of Optics (United Kingdom)

JF - Journal of Optics (United Kingdom)

IS - 5

M1 - 053002

ER -

Roadmap on superoscillations

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this