Investigation of Negative Refraction and Backward Wave in Metamaterial Based on Different Constitutive Relations

Meta-materials are man-made structures which exhibit unusual electromagnetic response. Such extraordinary responses give rise to new physical insights and engineered applications. The most common way to describe this kind of material is by defining effective material parameters connected to constitutive relations. Once constitutive relations are obtained, the wave propagating properties could be explored through basic electromagnetic theory.
In this thesis we investigate wave propagation based on different sets of constitutive relations. Dispersion relation, eigenwaves, impedance together with Poynting vector are derived. Also we derive reflection and transmission coefficients through a single planer interface. In particular, we study plane wave propagation in a special kind of bi-anisotropic medium: pseudochiral medium. It is found that two elliptic eigenwaves appear in pseudochiral material and allow us to realize negative refraction or backward wave. Finally, Gaussian beam propagation is conducted to verify our results.