Effects of geometrical parameters on optical characteristics of erbium doped photonic crystal fiber based on FVEIM

In this paper, using the fully vectorial effective index method (FVEIM), dependence of the refractive index of fundamental mode, mode field diameter and normalized frequency of the photonic crystal fiber on geometrical parameters of fiber are investigated. Simulations show that the normalized frequency of the photonic crystal fiber increases gently with increase of the air filling factor. Range of parameters in which erbium doped photonic crystal fiber is single mode at both the pump wavelength and the signal is determined. Wavelength dependence of the normalized frequency implies that single mode region of the signal in the case of using dopants such as ytterbium or erbium is significantly (about 1.6 times) more than the pump. In addition, it is shown that by changing dopant material to obtain a higher gain for an optimum set of geometrical parameters, no considerable change in the area of single mode occurs.