Reconstructing superoscillations buried deeply in noise
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. Published by the American Physical Society 2024
Authors
- John C. Howell (ORCID: https://orcid.org/0000-0002-2756-3925)
- Daniele C. Struppa (ORCID: https://orcid.org/0000-0002-3664-1729)
- Achim Kempf (ORCID: https://orcid.org/0000-0002-5809-9950)
- Barbara Šoda (ORCID: https://orcid.org/0000-0002-5044-0229)
- Shunxing Zhang
- Andrew N. Jordan (ORCID: https://orcid.org/0000-0002-9646-7013)
- Derek White
Institutions
- University of Waterloo (CA)
- Perimeter Institute (CA)
- Chapman University (US)
- Hebrew University of Jerusalem (IL)
- University of Rochester (US)
Publication Details
- Journal
- Physical review. A/Physical review, A
- Published
- 2024-12-23
- DOI
- https://doi.org/10.1103/physreva.110.l061502
- Citations
- 1
- Primary Topic
- Advanced Fiber Laser Technologies
- Type
- article
- Field-Weighted Citation Impact
- 0.34
Funders
- Chapman University
- Government of Canada
- Ontario Ministry of Economic Development, Job Creation and Trade
- Institut Périmètre de physique théorique
- Natural Sciences and Engineering Research Council of Canada
- Australian Research Council
- Air Force Office of Scientific Research