Prediction of Effective Core Area and Index of Refraction of Single-Mode Graded Index Fiber in Presence of Kerr Nonlinearity

Employing the simple power series expression for fundamental modal field by Chebyshev technique, we report investigation of the effective core area and index of refraction of single mode graded index fiber in presence of Kerr nonlinearity. In this context, we apply iterative method in order to take care of the concerned nonlinearity. Taking some typical step and parabolic index fibers as examples, we show that the results found by our formalism agree excellently with the available exact results which can be obtained rigorously by applying finite element technique. The execution of our formalism requires little computation. Thus our formalism can be treated as a simple but accurate alternative to the complicated methods available in literature. Thus the prescribed simple formalism will prove user friendly for the system engineers in respect of judicious selection of this kind of fiber from the standpoint of minimisation of modal noise due to nonlinearity.