Journal
JOURNAL OF OPTICS
Volume 21, Issue 5, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/2040-8986/ab0191
Keywords
imaging; optical beams; information theory
Categories
Funding
- National Science and Engineering Research Council of Canada
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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.
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