A New Method to Generate Superoscillating Functions and Supershifts

Authors

Yakir Aharonov, Chapman UniversityFollow
Fabrizio Colombo, Politecnico di Milano
Irene Sabadini, Politecnico di Milano
Tomer Shushi, Ben-Gurion University of the Negev
Daniele C. Struppa, Chapman UniversityFollow
Jeff Tollaksen, Chapman UniversityFollow

Document Type

Article

Publication Date

5-19-2021

Abstract

Superoscillations are band-limited functions that can oscillate faster than their fastest Fourier component. These functions (or sequences) appear in weak values in quantum mechanics and in many fields of science and technology such as optics, signal processing and antenna theory. In this paper, we introduce a new method to generate superoscillatory functions that allows us to construct explicitly a very large class of superoscillatory functions.

Comments

This is the submitted version of an article that later underwent peer review and was accepted for publication in Proceedings of the Royal Society A, volume 477, in 2021. The definitive publisher-authenticated version may differ and is available online at http://doi.org/10.1098/rspa.2021.0020.

Recommended Citation

Aharonov Yakir, Colombo Fabrizio, Sabadini Irene, Shushi Tomer, Struppa Daniele C. and Tollaksen Jeff. 2021. A new method to generate superoscillating functions and supershifts. Proc. R. Soc. A. 477: 20210020. http://doi.org/10.1098/rspa.2021.0020

Peer Reviewed

1

Copyright

The authors