A proposal to characterize and quantify superoscillations
Quantum Physics
2024-03-20 v2 Mathematical Physics
math.MP
Abstract
We present a formal definition of superoscillating function. We discuss the limitations of previously proposed definitions and illustrate that they do not cover the full gamut of superoscillatory behaviours. We demonstrate the suitability of the new proposal with several examples of well-known superoscillating functions that were not encompassed by previous definitions.
Cite
@article{arxiv.2311.17703,
title = {A proposal to characterize and quantify superoscillations},
author = {Yu Li and José Polo-Gómez and Eduardo Martín-Martínez},
journal= {arXiv preprint arXiv:2311.17703},
year = {2024}
}
Comments
13 pages, 14 figures. RevTeX 4.2. v2: Updated to match published version