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.
Original language | English |
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Article number | L061502 |
Journal | Physical Review A |
Volume | 110 |
Issue number | 6 |
DOIs | |
State | Published - Dec 2024 |
Bibliographical note
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