A new method to generate superoscillating functions and supershifts

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

doi:10.1098/rspa.2021.0020

A new method to generate superoscillating functions and supershifts

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

Department of Business Administration

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

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 language	English
Article number	20210020
Journal	Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume	477
Issue number	2249
DOIs	https://doi.org/10.1098/rspa.2021.0020
State	Published - 26 May 2021

Keywords

new method to generate superoscillations
superoscillating functions
supershift

ASJC Scopus subject areas

General Mathematics
General Engineering
General Physics and Astronomy

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10.1098/rspa.2021.0020

Cite this

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AU - Struppa, Daniele C.

AU - Tollaksen, Jeff

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A new method to generate superoscillating functions and supershifts

Abstract

Keywords

ASJC Scopus subject areas

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