Bibliographic Details
| Title: |
Reconstructing Superoscillations Buried Deeply in Noise |
| Authors: |
White, Derek D., Zhang, Shunxing, Soda, Barbara, Kempf, Achim, Struppa, Daniele C., Jordan, Andrew N., Howell, John C. |
| Publication Year: |
2024 |
| Collection: |
Physics (Other) |
| Subject Terms: |
Physics - Optics |
| More Details: |
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. |
| Document Type: |
Working Paper |
| Access URL: |
http://arxiv.org/abs/2410.05399 |
| Accession Number: |
edsarx.2410.05399 |
| Database: |
arXiv |
