Optica Open
arXiv.svg (5.58 kB)

Geometrical and topological properties of transmission resonance and artificial mirage

Download (5.58 kB)
posted on 2023-01-11, 22:32 authored by Youjun Deng, Hongyu Liu, Xianchao Wang, Wei Wu
Transmission eigenfunctions are certain interior resonant modes that are of central importance to the wave scattering theory. In this paper, we present the discovery of novel global rigidity properties of the transmission eigenfunctions associated with the Maxwell system. It is shown that the transmission eigenfunctions carry the geometrical and topological information of the underlying domain. We present both analytical and numerical results of these intriguing rigidity properties. As an interesting application, we propose an illusion scheme of artificially generating a mirage image of any given optical object.



This arXiv metadata record was not reviewed or approved by, nor does it necessarily express or reflect the policies or opinions of, arXiv.

Usage metrics