Using superoscillations for superresolved imaging and subwavelength focusing

It is now well-appreciated that a bandlimited wave can possess oscillations much more rapidly than those predicted by the bandlimit itself, in a phenomenon known as superoscillation. Such superoscillations are required to be of dramatically smaller amplitude than the signal they are embedded in, and...

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Main Author: Gbur Greg
Format: Article
Language:English
Published: De Gruyter 2018-11-01
Series:Nanophotonics
Subjects:
Online Access:https://doi.org/10.1515/nanoph-2018-0112
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author Gbur Greg
author_facet Gbur Greg
author_sort Gbur Greg
collection DOAJ
description It is now well-appreciated that a bandlimited wave can possess oscillations much more rapidly than those predicted by the bandlimit itself, in a phenomenon known as superoscillation. Such superoscillations are required to be of dramatically smaller amplitude than the signal they are embedded in, and this has initially led researchers to consider them of limited use in applications. However, this view has changed in recent years and superoscillations have been employed in a number of systems to beat the limits of conventional diffraction theory. In this review, we discuss the current state of research on superoscillations in terms of superresolved imaging and subwavelength focusing, including the use of special non-diffracting and Airy beams to carry transverse superoscillating patterns. In addition, we discuss recent analogous works on using superoscillations to break the temporal resolution limit, and also consider the recently introduced inverse of superoscillations, known as suboscillations.
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spelling doaj.art-f089bb9f266d4f6986f8cd7685510d632022-12-21T20:03:40ZengDe GruyterNanophotonics2192-86062192-86142018-11-018220522510.1515/nanoph-2018-0112nanoph-2018-0112Using superoscillations for superresolved imaging and subwavelength focusingGbur Greg0Department of Physics and Optical Science, UNC Charlotte, Charlotte, NC 28223, USAIt is now well-appreciated that a bandlimited wave can possess oscillations much more rapidly than those predicted by the bandlimit itself, in a phenomenon known as superoscillation. Such superoscillations are required to be of dramatically smaller amplitude than the signal they are embedded in, and this has initially led researchers to consider them of limited use in applications. However, this view has changed in recent years and superoscillations have been employed in a number of systems to beat the limits of conventional diffraction theory. In this review, we discuss the current state of research on superoscillations in terms of superresolved imaging and subwavelength focusing, including the use of special non-diffracting and Airy beams to carry transverse superoscillating patterns. In addition, we discuss recent analogous works on using superoscillations to break the temporal resolution limit, and also consider the recently introduced inverse of superoscillations, known as suboscillations.https://doi.org/10.1515/nanoph-2018-0112superoscillationssingular opticssuperresolutionimaging
spellingShingle Gbur Greg
Using superoscillations for superresolved imaging and subwavelength focusing
Nanophotonics
superoscillations
singular optics
superresolution
imaging
title Using superoscillations for superresolved imaging and subwavelength focusing
title_full Using superoscillations for superresolved imaging and subwavelength focusing
title_fullStr Using superoscillations for superresolved imaging and subwavelength focusing
title_full_unstemmed Using superoscillations for superresolved imaging and subwavelength focusing
title_short Using superoscillations for superresolved imaging and subwavelength focusing
title_sort using superoscillations for superresolved imaging and subwavelength focusing
topic superoscillations
singular optics
superresolution
imaging
url https://doi.org/10.1515/nanoph-2018-0112
work_keys_str_mv AT gburgreg usingsuperoscillationsforsuperresolvedimagingandsubwavelengthfocusing