Our research foci are:
Numerical solutions to wave equation:
- Wave functional materials:
- Metamaterials: artificial materials engineered to have properties that may not be found in nature;
- Photonic/phononic crystals: structured materials with periodic modulations in their physical parameters.
- Effective medium theory:
- Effective medium at finite frequencies: breaks the quasi-static limit and works for resonances;
- Effective medium with "extreme" parameters: when the filling-ratio is extremely high.
- Waves in random media:
- Transport behavior: coherent and diffusive transition, energy equilibration;
- Time reversal and imaging: locating an object by back propagating reversed signals.
- Numerical solutions to wave equation:
- Multiple-scattering or T-matrix: a method that takes all interactions between scatterers into account;
- Algorithms: fast-multipole, sparse matrix canonical grid.
Current Research
![](https://lh3.googleusercontent.com/d/1NiwCzGgeC38jsbzqxtd-_iAkNGkyJ-o0=s1920?/metamaterials.avif.jpg)
![](https://lh3.googleusercontent.com/d/1pr3ljiyfwrF4ncY6Ns6eobf_-bTHDOpk=s1920?/photonic-crystals-classical-20analogue-of-dirac-cones.avif.jpg)
![](https://lh3.googleusercontent.com/d/1qvRVEE8VnEu6yPD6Okc7AvcyIDJyqoJc=s1920?/phononic-crystals-rotational-modes.avif.jpg)
![](https://lh3.googleusercontent.com/d/1Od3BQmRP4lDwf_YgkEkYiOaYT8QyxRSt=s1920?/effective-medium-theory.avif.jpg)
![](https://lh3.googleusercontent.com/d/1TS3s4GhSm95EDB0pOak0RPMeMaxhBjO1=s1920?/waves-in-random-media-and-time-reversal.avif.jpg)