Analysis of graded-index optical fibers by the spectral parameter power series method
For researchers in optical fiber analysis, this provides a more accurate numerical method for solving eigenvalue problems in graded-index fibers.
The paper applies the spectral parameter power series (SPPS) method to analyze graded-index optical fibers, deriving an analytical characteristic equation for guided modes. The method demonstrates clear advantages in accuracy over existing techniques.
Spectral parameter power series (SPPS) method is a recently introduced technique for solving linear differential equations and related spectral problems. In the present work we develop an approach based on the SPPS for analysis of graded-index optical fibers. The characteristic equation of the eigenvalue problem for calculation of guided modes is obtained in an analytical form in terms of SPPS. Truncation of the series and consideration in this way of the approximate characteristic equation gives us a simple and efficient numerical method for solving the problem. Comparison with the results obtained by other available techniques reveals clear advantages of the SPPS approach, in particular, with regards to accuracy. Based on the solution of the eigenvalue problem, parameters describing the dispersion are analyzed as well.