Super defocusing of light by optical sub-oscillations

Yaniv Eliezer*, Alon Bahabad

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The mathematical phenomenon of superoscillation, in which a spectrally bound function oscillates locally at a rate faster than its fastest Fourier component, has found use in both theoretical and applied areas of optical research. We show the existence of a complementary phenomenon we term sub-oscillation, in which a spectrally lower bound limited function oscillates locally at an arbitrarily low frequency. The relevance of superoscillations to various fields, such as weak measurements, beam shaping, and super-resolution imaging, suggests that sub-oscillations could also find various uses. Here, we construct a spatially sub-oscillatory optical beam to experimentally demonstrate optical super defocusing, i.e., a very fast, exceptional expansion of a partially blocked light beam.

Original languageEnglish
Pages (from-to)440-446
Number of pages7
Issue number4
StatePublished - 20 Apr 2017


  • Coherent optical effects
  • Microscopy
  • Quantum optics
  • Radio frequency photonics
  • Transmission


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