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Eigenmode calculation of dielectric waveguides near cutoff using the Rayleigh-Ritz method with rational basis functions

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Abstract

A scalar Rayleigh-Ritz method using rational functions as an orthonormal basis is presented. This formalism is especially useful for the calculation of the fundamental eigenmode of optical waveguides near cutoff. An application for the optimum design of the large-spot output waveguide in tapered spot-size transformers is described.

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References

  1. K. S. Chiang,Opt. Quantum Electron. 26 (1994) S113.

    Google Scholar 

  2. R.Zengerle, H.Brückner, H.Olzhausen andA.Kohl,Electron. Lett. 7 (1992) 631.

    Google Scholar 

  3. F.Stenger,SIAM Rev. 23 (1981) 165.

    Google Scholar 

  4. J. P.Boyd,J. Comput. Phys. 69 (1987) 112.

    Google Scholar 

  5. R. L.Gallawa, I. C.Goyal, Y.Tu andA. K.Ghatak,IEEE J. Quantum Electron. QE-27 (1991) 518.

    Google Scholar 

  6. A. W.Snyder andJ. D.Love,Optical Waveguide Theory (Chapman & Hall, London, 1983) p. 367.

    Google Scholar 

  7. A. Sharma, P. K. Mishra andA. K. Ghatak,Proceedings of the 2nd European Conference on Integrated Optics, Florence, 1983, p. 9.

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Leminger, O., Zengerle, R. Eigenmode calculation of dielectric waveguides near cutoff using the Rayleigh-Ritz method with rational basis functions. Opt Quant Electron 27, 1009–1013 (1995). https://doi.org/10.1007/BF00558492

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  • DOI: https://doi.org/10.1007/BF00558492

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