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.

Comments

This article was originally published in Physical Review A, volume 110, in 2024. https://doi.org/10.1103/PhysRevA.110.L061502

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Supplemental material

Peer Reviewed

1

Copyright

Published by the American Physical Society

Creative Commons License

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.

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