The inverted pendulum, interface phonons and optic Tamm states

Nicolas Combe (1)

1 CEMES - Centre d'élaboration de matériaux et d'études structurales

The propagation of waves in periodic media is related to the parametric oscilla tors. We transpose the possibility that a parametric pendulum oscillates in the vicinity of its unstable equilibrium positions to the case of waves in lossless unidimensional periodic media. This concept formally applies to any kind of wa ve. We apply and develop it to the case of phonons in realizable structures and evidence new classes of phonons. Discussing the case of electromagnetic waves, we show that our concept is related to optic Tamm states one but extends it to periodic Optic Tamm state.

Domaines: Vibrations [physics.class-ph]; Vibrations [physics.class-ph]

Nicolas Combe. The inverted pendulum, interface phonons and optic Tamm states. 2011. ⟨hal-00604316v2⟩