Finite element analysis of doped photonic crystal fiber for communication systems

In the studies of photonic crystal optical fiber (PCF), is brought into effect profile of the geometry of the structure of an important criterion for the optical fibers namely the confinement loss. To optimize an optical fiber structure constituted with a doped core (doped PCF), the value of confinement loss must be as low as possible, a modified structure is introduced in our analysis. It is a structure formed by a doped core surrounded by a cladding which is composed by a photonic air holes in silica. The arrangement of the holes is different. Indeed, there are two different air ring around the core with various hole diameter (d and d´), various pitch (Λ and Λ´) and different filling factor (d / Λ and d´ / Λ´). The study of such a structure leads us to the study of Maxwell´s equations therefore a numerical method is required, we chose the finite element method (FEM) with perfectly matched layers (PML).