### CAS Seminar

# Dae Gwan Lee

### (Jacobs University)

## "Superoscillations"

** Date: ** |
Wed, September 16, 2015 |

** Time: ** |
11:15 |

** Place: ** |
Research I Seminar Room |

**Abstract:** A bandlimited signal may oscillate at a rate much higher than its bandlimit in a finite interval of arbitrarily long length. This phenomenon, called superoscillations, has found applications in quantum physics, antenna theory, superresolution imaging, etc. In general, the construction of superoscillations is a numerically hard problem. The most well-known and most attractive method is the minimum-energy method which yields a unique solution that has the smallest energy cost and small overall amplitude. In this talk, we show that practicality can be rather gained by neglecting the minimum-energy requirement. We propose a method of constructing superoscillations with coefficients and condition numbers that are smaller by several orders of magnitude compared to the minimum-energy solution, yet having energies close to the minimum. (http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6857440)