Abstract
Simple approximations for the fields and propagation constants of low-order modes on circular weakly guiding fibres are derived using variational techniques. The high accuracy of these approximations for quasi-parabolic profiles is demonstrated in the case of the Gaussian profile, for which there are no analytical solutions of the scalar wave equation.
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Love, J.D., Hussey, C.D. Variational approximations for higher-order modes of weakly-guiding fibres. Opt Quant Electron 16, 41–48 (1984). https://doi.org/10.1007/BF00619876
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DOI: https://doi.org/10.1007/BF00619876