Skip to main content
Log in

Simple approximation formulae for elliptical dielectric waveguides

  • Published:
Optical and Quantum Electronics Aims and scope Submit manuscript

Abstract

A simple method to obtain accurate explicit approximation formulae for the properties of an elliptical dielectric waveguide is explained. As examples, expressions for the propagation constant, geometric birefringence, and generalized two-dimensional Petermann spot-size are derived for step refractive index profiles.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. C. YEH,J. Appl. Phys. 33 (1962) 3235.

    Article  Google Scholar 

  2. L. EYGES, P. GIANINO and P. WINTERSTEINER,J. Opt. Soc. Am. 69 (1979) 1226.

    Google Scholar 

  3. I. M. Skinner, PhD thesis, Australian National Univ., Canberra (1985).

  4. C. YEH,Opt. Quantum Electron. 8 (1976) 43.

    Article  Google Scholar 

  5. J. CITERNE,ibid. 8 (1976) 43.

    Article  Google Scholar 

  6. L. EYGES,Appl. Opt. 17 (1978) 1673.

    Google Scholar 

  7. M. J. ADAMS, “An Introduction to Optical Waveguides” (Wiley, Chichester, 1981).

    Google Scholar 

  8. A. W. SNYDER and J. D. LOVE, “Optical Waveguide Theory” (Chapman and Hall, London, 1983).

    Google Scholar 

  9. R. A. SAMMUT, C. HUSSEY, J. D. LOVE and A. W. SNYDER,Proc. IEEE (II)128 (1981) 173.

    Google Scholar 

  10. R. A. SAMMUT,Opt. Quantum Electron. 14 (1982) 419.

    Article  Google Scholar 

  11. R. J. BLACK and C. PASK,IEEE J. Lightwave Technol. LT-2 (1984) 268.

    Google Scholar 

  12. A. KUMAR and R. K. VARSHNEY,Opt. Quantum Electron. 16 (1984) 349.

    Article  Google Scholar 

  13. C. D. HUSSEY and C. PASK,Proc. IEE (H)129 (1982) 123.

    Google Scholar 

  14. R. J. BLACK and C. PASK,IEEE J. Quantum Electron. QE-20 (1984) 996.

    Article  Google Scholar 

  15. A. W. SNYDER and W. R. YOUNG,J. Opt. Soc. Am. 68 (1978) 297.

    Google Scholar 

  16. K. PETERMANN,Opt. Quantum Electron. 9 (1977) 167.

    Article  Google Scholar 

  17. W. A. GAMBLING and H. MATSUMURA,Electron. Lett. 13 (1977) 691.

    Google Scholar 

  18. S. SARKAR, K. THYAGARAJAN and A. KUMAR,Opt. Commun. 49 (1984) 178.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Skinner, I.M. Simple approximation formulae for elliptical dielectric waveguides. Opt Quant Electron 18, 345–354 (1986). https://doi.org/10.1007/BF02032561

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02032561

Keywords

Navigation