Construction of arbitrary vortex and superoscillatory fields

Superoscillations, oscillations of a bandlimited signal at frequencies greater than its band limit, have been verified both theoretically and experimentally. The design of such superoscillatory waves, however, has typically relied on complicated mathematics. We introduce a simple Fourier method to c...

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Bibliographic Details
Published inOptics letters Vol. 41; no. 21; p. 4979
Main Authors Smith, Matt K, Gbur, Gregory J
Format Journal Article
LanguageEnglish
Published United States 01.11.2016
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Summary:Superoscillations, oscillations of a bandlimited signal at frequencies greater than its band limit, have been verified both theoretically and experimentally. The design of such superoscillatory waves, however, has typically relied on complicated mathematics. We introduce a simple Fourier method to construct superoscillations in the transverse plane of an optical field in the form of optical vortices.
ISSN:1539-4794
DOI:10.1364/OL.41.004979