A simple but accurate technique for study of single-mode Kerr type nonlinear dispersion-shifted and dispersion-flattened fibers

Abstract

We employ a simple but accurate power series expression based on Chebyshev technique in order to predict the fundamental modal fields inside the cores as well as the claddings of single-mode dispersion-shifted trapezoidal, dispersion-flattened graded W and step W fibers both in presence and absence of Kerr nonlinearity. Analytical expressions for the concerned parameters are prescribed. In presence of Kerr nonlinearity, our analysis involves the use of a simple iteration method. The formalism developed is executable with little computations. Our results agree excellently with the exact results which can be obtained by employing rigorous finite element technique. Thus our simple and accurate formalism will prove beneficial to the technologists working in the field of nonlinear photonics.