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Exact transcendental equation for scalar modes of rectangular dielectric waveguides

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Conclusion

A Fourier operator method has been used to derive for the first time an exact closed-form eigenvalue equation for the scalar mode propagation constants of a buried rectangular dielectric waveguide. The new method has been implemented and the results used to determine the accuracy of the scalar finite-difference approach. It is hoped that the exact results obtained here may assist in the validation of the accuracy of the other numerical and semi-analytical methods.

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Authors and Affiliations

  1. Department of Electrical and Electronic Engineering, University of Nottingham, NG7 2RD, Nottingham, UK

    C. J. Smartt & T. M. Benson

  2. Department of Electronic and Electrical Engineering, University of Sheffield, Mappin Street, S1 3JD, Sheffield, UK

    P. C. Kendall

Authors
  1. C. J. Smartt
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  2. T. M. Benson
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  3. P. C. Kendall
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Smartt, C.J., Benson, T.M. & Kendall, P.C. Exact transcendental equation for scalar modes of rectangular dielectric waveguides. Opt Quant Electron 26, 641–644 (1994). https://doi.org/10.1007/BF00712924

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  • DOI: https://doi.org/10.1007/BF00712924

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