A nonlinear iterative (NLI) method, originally developed by Hewson-Browne in geomagnetism, is applied to the vectorial analysis of optical waveguides. The method explicitly shows the interrelations between the scalar, polarized and vectorial operators and can be conveniently implemented using finite difference methods. Excellent accuracy in the normalized propagation constant is claimed along with agreement with earlier work and field distributions. The method presented enables vector results to be obtained simply by using computer programs, often available, for either polarized or scalar modes. This procedure proves more efficient than a standard vectorial finite difference technique.
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Sujecki et al. (1998) studied this question.
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