Comparison of nfsm, neff, and the second and third order dispersions of photonic crystal fibers calculated by scalar effective index method and empirical relations methods

Abstract

To design less costly and time consuming Photonic Crystal Fibers it is better to use Empirical Relations Method instead of Scalar Effective Index Method. If we compare both empirical relations method and scalar effective index method by accurate and powerful methods like Full-Vector Finite Element Method, we find that empirical relations method has less error than scalar effective index method in calculating PCF parameters such as nfsm, neff, and the second order dispersion. According to the investigations, we concluded, the inherent error of scalar effective index method approximately increases when pitch decreases. In large pitches the calculation of dispersion by scalar effective index method reveals less error in low wavelengths than high wavelengths and finally we calculated the third order dispersion which is important in some applications.