New methods for creating superoscillations
Leilee Chojnacki, Achim Kempf
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 Schrödinger potentials whose ground state is a superoscillating wave function.
arXiv:1608.03121•Journal of Physics A Mathematical and Theoretical•Nov 23, 2016•17 citations