1.Simple analytical models to introduce basic notions
Band gaps and localized modes associated to defects Zeros of transmission and Fano resonances
2. One-dimensional (1D) multilayer structures
Theoretical methods
Dispersion curves, band gaps and localized modes
Transmission coefficient: tunnelling (fast)transmission and resonant (slow) transmission
3. Two-dimensional (2D) Phononic crystals
Theoretical methods
Dispersion curves and complete band gaps (Bragg gaps and hybridization gaps) Local resonances and low frequency gaps
Waveguide and cavity modes
4. Phononic crystal slabs and nanobeams
Array of holes in a Si membrane
Array of pillars on a thin membrane
Surface waves in semi-infinite phononic crystals
Nanobeam waveguides
5. Brief overview of refractive properties
Negative refraction and focusing Self-collimation and beam splitting
6. Subwavelength structures and applications of metamaterials
Effective properties (positive and negative dynamic parameters) Focusing and imaging. Superlens and heperlens
Cloaking
GRIN devices
Metasurfaces. Resonating units and space coiling. Absorption. Phase manipulation 7. Active materials and some emerging topics
Non reciprocal behaviors . Time-space periodicity. PT symmetry. Topological phononics.
8. Dual phononic-photonic crystals (phoXonic) and Optomechanics
Simultaneous phononic-photonic band gaps.
Waveguide modes. Slow and fast modes
Enhanced phonon-photon interaction in a cavity. Comparison of photoelastic and optomechanic effects
Phononic and Phoxonic sensors
- Présentation