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.
Aharonov Yakir, Colombo Fabrizio, Sabadini Irene, Shushi Tomer, Struppa Daniele C. and Tollaksen Jeff. 2021. A new method to generate superoscillating functions and supershifts. Proc. R. Soc. A. 477: 20210020. http://doi.org/10.1098/rspa.2021.0020