Dispersion characteristics of step index single mode optical fiber with Kerr nonlinearity

In this paper is presented an approximate solution for the fundamental mode of the step-index optical fiber with taking into account the Kerr nonlinearity. The solution is obtained by a known method of Gauss approximation. The derivation of the characteristic equation for the equivalent mode spot radius and analytical expressions for the propagation constant and its first, second and third derivatives are described. The analytical formulas for time delay and chromatic dispersion are given too. Based on the obtained analytical solution there were calculated the dependencies from the optical power the parameters of fundamental mode for the sample of the step-index optical fiber.

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