A new method to generate superoscillating functions and supershifts-Reference-Cited by-同舟云学术

A new method to generate superoscillating functions and supershifts

Published:2021-05 Issue:2249 Volume:477 Page:20210020
ISSN:1364-5021
Container-title:Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Proc. R. Soc. A.

Author:

Aharonov Yakir¹,Colombo Fabrizio²^ORCID,Sabadini Irene²,Shushi Tomer³,Struppa Daniele C.⁴,Tollaksen Jeff¹

Affiliation:

1. Schmid College of Science and Technology, Chapman University, Orange, 92866 CA, USA

2. Politecnico di Milano, Dipartimento di Matematica, Via E. Bonardi, 9 20133 Milano, Italy

3. Department of Business Administration, Guilford Glazer Faculty of Business and Management, Ben-Gurion University of the Negev, Beer-Sheva, Israel

4. The Donald Bren Distinguished Presidential Chair in Mathematics, Chapman University, Orange, CA, USA

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.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2021.0020

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