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

Research output: Contribution to journal › Article › peer-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 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
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2021 The Author(s).

Keywords

new method to generate superoscillations
superoscillating functions
supershift

ASJC Scopus subject areas

General Mathematics
General Engineering
General Physics and Astronomy

Access to Document

10.1098/rspa.2021.0020

Cite this

@article{e12fb9ed4b0945d08b742d92021982f4,

title = "A new method to generate superoscillating functions and supershifts",

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.",

keywords = "new method to generate superoscillations, superoscillating functions, supershift",

author = "Yakir Aharonov and Fabrizio Colombo and Irene Sabadini and Tomer Shushi and Struppa, \{Daniele C.\} and Jeff Tollaksen",

note = "Publisher Copyright: {\textcopyright} 2021 The Author(s).",

year = "2021",

month = may,

day = "26",

doi = "10.1098/rspa.2021.0020",

language = "English",

volume = "477",

journal = "Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences",

issn = "1364-5021",

publisher = "Royal Society Publishing",

number = "2249",

}

TY - JOUR

T1 - A new method to generate superoscillating functions and supershifts

AU - Aharonov, Yakir

AU - Colombo, Fabrizio

AU - Sabadini, Irene

AU - Shushi, Tomer

AU - Struppa, Daniele C.

AU - Tollaksen, Jeff

PY - 2021/5/26

Y1 - 2021/5/26

N2 - 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.

AB - 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.

KW - new method to generate superoscillations

KW - superoscillating functions

KW - supershift

UR - https://www.scopus.com/pages/publications/85107682656

U2 - 10.1098/rspa.2021.0020

DO - 10.1098/rspa.2021.0020

M3 - Article

AN - SCOPUS:85107682656

SN - 1364-5021

VL - 477

JO - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

JF - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

IS - 2249

M1 - 20210020

ER -

A new method to generate superoscillating functions and supershifts

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this