New methods for creating superoscillations
Mathematical Physics
2016-12-14 v2 math.MP
Abstract
Superoscillating functions, i.e., functions that locally oscillate at a rate faster than their highest Fourier component, are of interest for applications from fundamental physics to engineering. Here, we develop a new method which allows one to construct superoscillations of arbitrarily high frequency and arbitrarily long duration in a computationally efficient way. We also present a method for constructing non-singular Schr\"odinger potentials whose ground state is a superoscillating wave function.
Cite
@article{arxiv.1608.03121,
title = {New methods for creating superoscillations},
author = {Leilee Chojnacki and Achim Kempf},
journal= {arXiv preprint arXiv:1608.03121},
year = {2016}
}