Skip to main content
SpringerLink
Log in

Scattering matrix and radiation characteristics of the junction between two different monomode microwave or optical dielectric waveguides

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

Abstract

The elements of the scattering matrix of the junction between two circular monomode dielectric waveguides with different diameters and/or different refractive indices are calculated using the mode matching method. The theory is evaluated numerically for a wide range of parameters and simplified considerably for two important cases of weakly guiding waveguides.

The radiation pattern of the junction is calculated using the Huygens-Kirchhoff theory of diffraction and shown to be reducible to the weighted difference of the radiation patterns of the ends of the primary and secondary waveguide. Simple approximations are derived for weakly guided waves.

The theory is verified experimentally by measuring the scattering parameters, the far-field radiation pattern and the near-field distribution of abrupt changes in diameter of microwave dielectric rod transmission lines.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. M. Boerner andS. Maslowski,Proc. IEE (London) 123 (1976) 627.

    Google Scholar 

  2. J. Robieux,Ann. Radioélectricité 14 (1959) 187–229 and15 (1960) 28–77.

    Google Scholar 

  3. A. F. Kay IRE Trans. AP-7 (1959) 22–31.

    Google Scholar 

  4. H. M. Barlow andJ. Brown, ‘Radio Surface Waves’ (Clarendon Press, Oxford 1962).

    Google Scholar 

  5. R. W. Breithaupt,Proc. IEEE 51 (1963) 1455–63.

    Google Scholar 

  6. W. W. Cooley andA. Ishimaru,Air Force Cambridge R.L. Techn. Rep. 105 (1966).

  7. D. Marcuse,Bell Syst. Tech. J. 49 (1970) 273–90.

    Google Scholar 

  8. P. J. B. Clarricoats andA. B. Sharpe,Electron. Lett. 8 (1972) 28–9.

    Google Scholar 

  9. G. A. Hockham andA. B. Sharpe,ibid 8 (1972) 230–1.

    Google Scholar 

  10. D. Marcuse,Bell Syst. Tech. J. 49 (1970) 1665–93.

    Google Scholar 

  11. idem, ‘Trunk telecomm by guided waves’,IEE Conf. Publ. 71 (1970) 89–94.

    Google Scholar 

  12. J. Guttmann andO. Krumpholz,Wiss. Ber. AEG-Telefunken 46 (1973) 8–15.

    Google Scholar 

  13. G. Goubau,Proc. IRE 40 (1952) 865–8.

    Google Scholar 

  14. D. Marcuse, ‘Theory of dielectric optical waveguides,’ (Academic Press, New York 1974) p. 24.

    Google Scholar 

  15. E.-G. Neumann,Z. angew. Physik 16 (1964) 452–60.

    Google Scholar 

  16. D. Gloge,Appl. Opt. 10 (1971) 2252–8.

    Google Scholar 

  17. S. Ramo, J. R. Whinnery andTh. Van Duzer, ‘Fields and waves in communication electronics’ (Wiley, New York, 1967) 659–65.

    Google Scholar 

  18. R. Kühn, ‘Mikrowellen-Antennen’ (Verlag Technik, Berlin, 1964) 262–70.

    Google Scholar 

  19. N. S. Kapany andJ. J. Burke, ‘Optical Waveguides’ (Academic Press, New York, 1972) 186–9, orAppl. Opt. 4 (1965) 1534–43.

    Google Scholar 

  20. E.-G. Neumann,Z. angew. Phys. 24 (1967) 1–18.

    Google Scholar 

  21. O. Krumpholz, doctoral thesis, Technische Hochschule Karlsruhe, (1971) 20–31.

  22. M. Abramowitz andI. A. Stegun, ‘Handbook of mathematical functions,’ (Dover Publications, New York, 1965) Equation 11.3.29.

    Google Scholar 

  23. E.-G. Neumann, D. Opielka andH.-D. Rudolph,Arch. Elektr. & Übertr. 28 (1974) 229–30.

    Google Scholar 

  24. E.-G. Neumann andH.-D. Rudolph,IEEE Trans. MTT-23 (1975) 142–9.

    Google Scholar 

  25. idem, Electron. Lett. 10 (1974) 446–7.

    Google Scholar 

  26. S. A. Schelkunoff, ‘Electromagnetic waves,’ (D. van Nostrand, New York, 1943) 425–8.

    Google Scholar 

  27. W. M. Elsasser,J. Appl. Phys. 20 (1949) 1193–6.

    Google Scholar 

  28. E.-G. Neumann andH.-D. Rudolph,Appl. Phys. 8 (1975) 107–16.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Fachbereich Elektrotechnik der Universität Wuppertal, Fuhlrottstrasse 10, 5600, Wuppertal 1, West Germany

    E. -G. Neumann

  2. Institut für Hoch- und Höchstfrequenztechnik der Ruhr-Universität Bochum, POB 2148, 4630, Bochum, West Germany

    D. Opielka

Authors
  1. E. -G. Neumann
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. Opielka
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Neumann, E.G., Opielka, D. Scattering matrix and radiation characteristics of the junction between two different monomode microwave or optical dielectric waveguides. Opt Quant Electron 9, 209–222 (1977). https://doi.org/10.1007/BF00619732

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00619732

Keywords

Search

Navigation