Personal tools

Ferreira-2007c

From IEETA

Jump to: navigation, search

Article

Title Construction of Aharonov-Berry's superoscillations
Author Paulo J S G Ferreira, Achim Kempf, Manuel J. C. S. Reis
Journal Journal of Physics A: Mathematical and Theoretical
Volume 40
Number
Pages 5141-5147
Month
Year 2007
DOI [1]
Group
Group (before 2015) Signal Processing Laboratory
Indexed by ISI Yes

Abstract

A simple method is described for constructing functions that superoscillate at an arbitrarily chosen wavelength scale. Our method is based on the technique of oversampled signal reconstruction. This allows us to explicitly demonstrate that the observed fragility of superoscillating wave functions is indeed mathematically closely connected to what in the communication theory community is known as the instability of oversampled signal reconstruction, confirming a previous conjecture. This is of potential interest, for example, concerning the understanding of the practical difficulties in experimentally producing superoscillatory wave functions.