We propose a new numerical method for extracting extreme eigenvalues and the corresponding eigenmodes for very large Hermitian matrices. The method is applied, for what we believe is the first time, to the mode analysis of arbitrarily shaped optical waveguides. Compared with results obtained by other numerical methods, it is shown that our method is powerful with respect to the analysis, modeling, and optimum design of lossless optical waveguides.
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Noro et al. (1995) studied this question.
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