Roadmap on superoscillations

Research output: Contribution to journalReview articlepeer-review


  • Michael Berry
  • Nikolay Zheludev
  • Yakir Aharonov
  • Fabrizio Colombo
  • Irene Sabadini
  • Daniele C. Struppa
  • Jeff Tollaksen
  • Edward T.F. Rogers
  • Fei Qin
  • Minghui Hong
  • Xiangang Luo
  • Roei Remez
  • Ady Arie
  • Jörg B. Götte
  • Alex M.H. Wong
  • George V. Eleftheriades
  • Yaniv Eliezer
  • Alon Bahabad
  • Gang Chen
  • Zhongquan Wen
  • Gaofeng Liang
  • Chenglong Hao
  • C-W Qiu
  • Achim Kempf
  • Eytan Katzav
  • Moshe Schwartz

Colleges, School and Institutes

External organisations

  • Chapman University
  • Politecnico di Milano
  • Jinan University
  • National University of Singapore
  • Chinese Academy of Sciences
  • Tel Aviv University
  • University of Glasgow
  • Nanjing University
  • City University of Hong Kong
  • Chongqing University
  • University of Waterloo
  • Hebrew University of Jerusalem
  • University of Bristol
  • University of Southampton
  • University of Toronto
  • Nanyang Technological University


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.


Original languageEnglish
Article number053002
Number of pages35
JournalJournal of Optics (United Kingdom)
Issue number5
Publication statusPublished - 18 Apr 2019


  • imaging, information theory, optical beams