Yield statistics of interpolated superoscillations

Eytan Katzav*, Ehud Perlsman, Moshe Schwartz

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

Yield optimized interpolated superoscillations have been recently introduced as a means for possibly making the use of the phenomenon of superoscillation practical. In this paper we study how good is a superoscillation that is not optimal. Namely, by how much is the yield decreased when the signal departs from the optimal one. We consider two situations. One is the case where the signal strictly obeys the interpolation requirement and the other is when that requirement is relaxed. In the latter case the yield can be increased at the expense of deterioration of signal quality. An important conclusion is that optimizing superoscillations may be challenging in terms of the precision needed, however, storing and using them is not at all that sensitive. This is of great importance in any physical system where noise and error are inevitable.

Original languageAmerican English
Article number025001
JournalJournal of Physics A: Mathematical and Theoretical
Volume50
Issue number2
DOIs
StatePublished - 13 Jan 2017

Bibliographical note

Publisher Copyright:
© 2016 IOP Publishing Ltd.

Keywords

  • optimization
  • supergain
  • superoscillations
  • superresolution

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