English

Efficient method to create superoscillations with generic target behavior

Optics 2020-04-08 v1 Quantum Physics

Abstract

We introduce a new numerically stable method for constructing superoscillatory wave forms inan arbitrary number of dimensions. The method allows the construction of superoscillatory square-integrable functions that match any desired smooth behavior in their superoscillatory region toarbitrary accuracy.

Keywords

Cite

@article{arxiv.2004.02892,
  title  = {Efficient method to create superoscillations with generic target behavior},
  author = {Barbara Šoda and Achim Kempf},
  journal= {arXiv preprint arXiv:2004.02892},
  year   = {2020}
}

Comments

To appear in Quantum Studies

R2 v1 2026-06-23T14:41:38.343Z