Abstract
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 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.
| Original language | English |
|---|---|
| Pages (from-to) | 1-24 |
| Number of pages | 24 |
| Journal | SIAM Journal on Applied Mathematics |
| Volume | 82 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2022 |
| Externally published | Yes |
Keywords
- artificial mirage
- electromagnetic scattering
- geometric structure
- surface localization
- transmission eigenfunctions
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