Document Type

Article

Publication Date

4-18-2019

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.

Comments

This article was originally published in Journal of Optics, volume 21, in 2019. DOI: 10.1088/2040-8986/ab0191

Peer Reviewed

1

Copyright

IOP Publishing

Creative Commons License

Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.

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