Kerr Nonlinearity Effect on Dimensionless Scalar and Vector Propagation Constants of Single-Mode Graded Index Fiber: Estimation by a Simple but Accurate Method

A simple but accurate power series expression for fundamental mode of single- mode graded index fiber is employed here for the estimation of dimensionless scalar and vector propagation constants in presence and absence of Kerr non linearity. Chebyshev formalism is employed for the formulation of the power series. In case of concerned prediction in presence of Kerr non linearity, the formalism requires application of method of iteration. Single -mode parabolic index profile fibers with appropriate V number values are considered for our present study. Our results match well with exact results obtained using rigorous finite element method. Our formalism essentially needs considerably less computation. Thus, our simple but accurate formalism can further be extended in the analysis of other nonlinear fibers and their propagation characteristics.