Fotonics: Fractional Dynamics of Optical & Photonic Phenomena in Complex Media

Abstract

Fotonics can be considered as a generalization of the conventional optics and photonics which deals with wave propagation through natural and engineered artificial complex media in the framework of fractional dynamics. In this short note we present an introduction to this new field and then consider its possible applications in the physics of random lasers and metamaterials with anomalous and exotic light-matter interaction behaviors. We have also proposed a new modeling approach for the complex nonlinear metamaterials which exhibit nonlocal and memory effects based on fractional order elements integrated into the underlying circuit of each unit cell.