Accurate semi analytical model of an optical fiber having Kerr nonlinearity using a robust nonlinear unconstrained optimization method

► Three parameter fundamental field approximation of Kerr nonlinear optical fiber. ► Unconstrained minimization of core parameter by Nelder Mead Simplex method. ► Propagation and dispersion properties investigated. ► Full agreement with numerical results but less computation than numerical method. ► This model is useful for various specifications and third order nonlinear fibers.