Spectral parameter power series (SPPS) method is a recently introducedtechnique for solving linear differential equations and related spectralproblems. In the present work we develop an approach based on the SPPS foranalysis of graded-index optical fibers. The characteristic equation of theeigenvalue problem for calculation of guided modes is obtained in an analyticalform in terms of SPPS. Truncation of the series and consideration in this wayof the approximate characteristic equation gives us a simple and efficientnumerical method for solving the problem. Comparison with the results obtainedby other available techniques reveals clear advantages of the SPPS approach, inparticular, with regards to accuracy. Based on the solution of the eigenvalueproblem, parameters describing the dispersion are analyzed as well.
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