Document Type
Article
Publication Date
12-23-2024
Abstract
We utilize a method using frequency combs to construct waves that feature superoscillations—local regions of the wave that exhibit a change in phase that the bandlimits of the wave should not otherwise allow. This method has been shown to create superoscillating regions that mimic any analytic function—even ones well outside the bandlimits—to an arbitrary degree of accuracy. We experimentally demonstrate that these waves are extremely robust against noise, allowing for accurate reconstruction of a superoscillating target function thoroughly buried in noise. We additionally show that such a construction can be easily used to range-resolve a signal well below the commonly accepted fundamental limit.
Recommended Citation
D. D. White, S. Zhang, B. Šoda, A. Kempf, D. C. Struppa, A. N. Jordan, and J. C. Howell, Phys. Rev. A 110, L061502 (2024). https://doi.org/10.1103/PhysRevA.110.L061502
Supplemental material
Peer Reviewed
1
Copyright
Published by the American Physical Society
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.
Comments
This article was originally published in Physical Review A, volume 110, in 2024. https://doi.org/10.1103/PhysRevA.110.L061502