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- W2038561330 abstract "Abstract A rigorous truncation error analysis of three-point finite difference approximations for optical waveguides with step-wise refractive index discontinuities is given. As the basis for the analysis we use the exact coefficients of the series that expresses the field value at a given finite difference node in terms of the field value and its derivatives at a neighbouring node. This series is applied to develop a rigorous formalism for the truncation error analysis of the three-point finite difference approximations used in the numerical modelling of light propagation in optical waveguides with step-wise discontinuities of the refractive index profile. The results show that the approximations reach O(h2) truncation error only asymptotically for sufficiently small values of the mesh size." @default.
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- W2038561330 date "2011-01-01" @default.
- W2038561330 modified "2023-10-16" @default.
- W2038561330 title "Accuracy of three-point finite difference approximations for optical waveguides with step-wise refractive index discontinuities" @default.
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- W2038561330 doi "https://doi.org/10.2478/s11772-011-0019-1" @default.
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