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.

A new method to generate superoscillating functions and supershifts

Colombo F.;Sabadini I.;
2021-01-01

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.
2021
new method to generate superoscillations
superoscillating functions
supershift
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1194576
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