Roadmap on superoscillations

Berry, M. et al. (2019) Roadmap on superoscillations. Journal of Optics, 21(5), 053002. (doi: 10.1088/2040-8986/ab0191)

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.

• Item Type: Articles
• Additional Information: J B G acknowledges funding from the National Key Research and Development Program of China under Contract. No. 2017YFA0303700.
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Goette, Dr Joerg
• Authors: 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., Chen, G., Wen, Z., Liang, G., Hao, C., Qiu, C.-W., Kempf, A., Katzav, E., and Schwartz, M.
• College/School: College of Science and Engineering > School of Physics and Astronomy
• Journal Name: Journal of Optics
• Publisher: IOP Publishing
• ISSN: 2040-8978
• ISSN (Online): 2040-8986
• Copyright Holders: Copyright © 2019 IOP Publishing Ltd
• First Published: First published in Journal of Optics 21(5): 053002
• Publisher Policy: Reproduced under a Creative Commons License