Metamaterials and multiphysical couplings [solved with finite elements]

Prof. : Muamer Kadic & Vincent Laude

1. PDE, wave equations and boundary conditions in physics
2.  Constitutive models
   1. electromagnetism
   2. Acoustics & elasticity
3. Thermal transport /  electrostatics / diffusion equations
4. Metamaterials
   1. Simple models: bilayers in transport
   2. Mass – spring mechanics & acoustics
   3. Effective properties
   4. Examples of metamaterials
5. Finite element models with FreeFem++
   1. Introduction to the language: domain, mesh, variables, weak form, boundary conditions, solving a linear equation (forced response), obtaining eigenvalues and eigenvectors (with Laplacian operator)
   2. 2D photonic and sonic crystals (scalar wave equation, periodicity, radiation boundary condition)
   3. Guided waves in optical planar waveguides and fibers (weak form, sound cone)
   4. Vibrations and modes of mechanical resonators (PML, 3D mesh)
   5. Acousto-optical coupling in nanophotonics (photoelastic and moving boundary effects, optomechanics)