Descriptif

A metamaterial is any material engineered to have a property that is not found in naturally occurring materials. Most famous properties in the context of waves include cloaking, super-resolution, negative refraction or prohibited propagation bands.

The purpose of this course is to provide an introduction to the modeling of metamaterials. By using modern techniques based on asymptotic homogenization, transformation optics and modal methods, we aim to explain the the extraordinary properties of these metamaterials and their underlying mechanisms that allow to control waves according to our desires. Particular attention will be paid to present practical applications that illustrate the effectiveness of metamaterials to control waves on topical issues in acoustics, elastodynamic and electromagnetism.

The 8 lectures will covered the following topics :

- Homogenization theory for microstructured media and application to metamaterials

- Surface (guided) waves and application to Spoof Surface Plasmons

- Invisibility cloak and transformation optics

- Resonant metamaterial and how to achieve negative mass density

Final examination will consist in a written exam.