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
N1 - Publisher Copyright:
© 2021 The Author(s).
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 - http://www.scopus.com/inward/record.url?scp=85107682656&partnerID=8YFLogxK
U2 - 10.1098/rspa.2021.0020
DO - 10.1098/rspa.2021.0020
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AN - SCOPUS:85107682656
SN - 0080-4630
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 -