Four aspects of superoscillations

  title={Four aspects of superoscillations},
  author={Achim Kempf},
  journal={Quantum Studies: Mathematics and Foundations},
  • Achim Kempf
  • Published 14 February 2018
  • Mathematics, Physics
  • Quantum Studies: Mathematics and Foundations
A function f is said to possess superoscillations if, in a finite region, f oscillates faster than the shortest wavelength that occurs in the Fourier transform of f. I will discuss four aspects of superoscillations: (1) Superoscillations can be generated efficiently and stably through multiplication. (2) There is a win–win situation in the sense that even in circumstances where superoscillations cannot be used for superresolution, they can be useful for what may be called superabsorption, an… Expand
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