A new method to generate superoscillating functions and supershifts

Yakir Aharonov, Fabrizio Colombo*, Irene Sabadini, Tomer Shushi, Daniele C. Struppa, Jeff Tollaksen

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Article number20210020
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume477
Issue number2249
DOIs
StatePublished - 26 May 2021
Externally publishedYes

Funding

FundersFunder number
GNAMPA
Istituto Nazionale di Alta Matematica "Francesco Severi"

    Keywords

    • new method to generate superoscillations
    • superoscillating functions
    • supershift

    Fingerprint

    Dive into the research topics of 'A new method to generate superoscillating functions and supershifts'. Together they form a unique fingerprint.

    Cite this