Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Finite-element analysis of optical fibres with iterative treatment of the infinite 2-D space

  • 49 Accesses

  • 35 Citations

Abstract

A finite-element method is formulated for determining the propagation characteristics of weakly guiding fibres. An iterative process is developed for eliminating the variables in the infinite cladding of the fibre. The final algebraic eigenvalue equation to be solved does not therefore involve any variables in the cladding. Numerical examples show that the method is very accurate and efficient in the whole guiding range of frequency.

This is a preview of subscription content, log in to check access.

References

  1. 1.

    N. Mabaya, P. E. Lagasse andP. Vandenbulcke,IEEE Trans. Microwave Theory Tech. 29 (1981) 600.

  2. 2.

    C. Yeh, K. Ha, S. B. Dong andW. P. Brown,Appl. Opt. 18 (1979) 1490.

  3. 3.

    M. Ikeuchi, H. Sawami andH. Niki,IEEE Trans. Microwave Theory Tech. 29 (1981) 234.

  4. 4.

    A. Konrad,ibid. 24 (1976) 553.

  5. 5.

    K. Oyamada andT. Okoshi,Radio Sci. 17 (1982) 109.

  6. 6.

    B. M. A. Rahman andJ. B. Davies,IEEE Trans. Microwave Theory Tech. 32 (1982) 922.

  7. 7.

    P. Bettess,Int. J. Num. Meth. Engng 11 (1977) 53.

  8. 8.

    O. C. Zienkiewicz, C. Emson andP. Bettes,ibid. 19 (1983) 393.

  9. 9.

    B. M. A. Rahman andJ. B. Davies,IEEE Trans. Microwave Theory Tech. 32 (1984) 20.

  10. 10.

    K. S. Chiang,Opt. Quant. Electron. 16 (1984) 487.

  11. 11.

    P. Silvester,Int. J. Engng Sci. 7 (1969) 849.

  12. 12.

    G. J. Fix,Adv. Maths 10 (1973) 300.

  13. 13.

    J. P. Meunier, J. Pigeon andJ. N. Massot,Opt. Quant. Electron 13 (1981) 71.

  14. 14.

    L. Eyges, P. Gianino andP. Wintersteiner,J. Opt. Soc. Am. 69 (1979) 1226.

  15. 15.

    J. R. James andI. N. L. Gallett,Proc. IEE 120 (1973) 1362.

Download references

Author information

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Chiang, K.S. Finite-element analysis of optical fibres with iterative treatment of the infinite 2-D space. Opt Quant Electron 17, 381–391 (1985). https://doi.org/10.1007/BF00619564

Download citation

Keywords

  • Communication Network
  • Propagation Characteristic
  • Optical Fibre
  • Iterative Process
  • Eigenvalue Equation