Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analysis of graded-index optical fibers by the spectral parameter power
  series method   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.

23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin