Skip to main content

Efficient analysis of general waveguide multi-port junctions using a segmentation technique and hybrid matrix formulations

analyse Efficace de Jonctions GÉnÉrales À AccÉs Multiples Entre guides D’ondes au Moyen D’une Technique de Segmentation et de Formulations Matricielles Hybrides


In this paper a segmentation technique, based on hybrid (admittance and impedance) matrix representations, is proposed for the efficient and accurate analysis of rectangular waveguide multi-port junctions with arbitrarily shaped waveguide access ports. The technique is completely outlined, and a new method for solving the connection of hybrid matrices without intermediate inversions is derived. To validate the theory, results for a magic-T junction and a six-port cross junction are compared with experimental data from literature. The new method proposed is also successfully applied to H- and E-plane T-junctions with rounded corners in the side arms.


Dans cet article on propose une technique de segmentation basée sur des représentations matricielles hybrides (impédance et admitance) pour ľanalyse efficace et exacte de jonctions multi-port de guides ľondes rectangulaires aux ports de forme arbitraire. La technique est expliqée en détail et ľon en déduit une nouvelle méthode pour résoudre la connection de matrices hybrides sans inversions intermédiaires. Pour valider la théorie, on compare les résultats obtenus avec une jonction T-magique et avec une jonction à six ports avec des données expérimentales de la littérature. La nouvelle méthode proposée est aussi employée avec succès pour résoudre des jonctions T des plans E et H ayant des coins arrondis dans les bras latéraux.

This is a preview of subscription content, access via your institution.


  1. Alessandri (F.), Mongiardo (M.), andSorrentino (R.), Computer-aided design of beam forming networks for modern satellite antennas,IEEE Transactions on Micromave Theory and Techniques (1992),40, n°6, pp. 1117–1127.

    Article  Google Scholar 

  2. Alessandri (F.) Mongiardo (M.) andSorrentino (R.) A technique for the fullwave automatic synthesis of waveguide components: application to fixed phase shifters,E Transactions on Micromave Theory and Techniques(1992),40, n° 7, pp. 1484–1495.

    Article  Google Scholar 

  3. Alvarez (A.) andGuglielmi (M.), Multimode network representation of two dimensional steps in rectangular waveguides,Proceedings of the 24th European Microwave Conference (1994),2, pp. 1943–1948.

    Google Scholar 

  4. Arcioni (P.), Fast evaluation of modal coupling coefficients of waveguide step discontinuities,IEEE Microwave and Guided Wave Letters (1996),6, n° 6, pp. 232–234.

    Article  Google Scholar 

  5. Boria (V.) andGuglielmi (M.), Efficient admittance matrix representation of a cubic junction of rectangular waveguides,IEEE MTTS Int. Microwave Symp. (1998),3, pp. 1751–1754.

    Google Scholar 

  6. Boria (V.) andGuglielmi (M.) andArcioni (P.), Computer aided design of inductively coupled rectangular waveguide filters including tunning elements,International Journal of RF and Microwave Computer-Aided Engineering (1998),8, n° 3, pp. 226 235.

    Article  Google Scholar 

  7. Collin (R.), Field theory of guided waves, second edition,IEEE Press, (1991).

  8. Conciauro (G.), Bressan (M.), andZuffada (C.), Waveguide modes via an integral equation leading to a linear matrix eigenvalue problem,IEEE Transactions on Microwave Theory and Techniques (1984),32, n° 11, pp. 1495–1504.

    Article  Google Scholar 

  9. Conciauro (G.),Gugliemi (M.), andSorrentino (M.),Advanced Modal Analysis - CAD Techniques for Waveguide Components and Filters, John Wiley and Sons, Ltd., (2000), pp. 150-152.

  10. Gerini (G.), Guglielmi (M.) andLastoria (G.), Efficient integral formulations for admitance or impedance representation of planar waveguide junctions,IEEE MTTS Int. Micromave Symp. (1998),3, pp. 1747–1750.

    Google Scholar 

  11. Guglielmi (M.), Gheri (G.), Calamia (M.), andPelosi (G.), Rigorous multimode network numerical representation of inductive step,IEEE Transactions on Microwave Theory and Techniques (1994),42, n° 2, pp. 317–325.

    Article  Google Scholar 

  12. Kudsia (C.), Cameron (R.), andTang (W.-C.), Innovations in microwave filters and multiplexing networks for communications satellite systems,IEEE Transactions on Microwave Theory and Techniques (1992),40, n° 6, pp. 1133–1194.

    Article  Google Scholar 

  13. Kurokawa (K.),An introduction to the theory of microwave circuits, Academic Press, (1969).

  14. Marcuvitz (N.), Waveguide Handbook,Peter Peregrinus Ltd., IEE Electromagnetic Waves Series 21, (1986).

  15. Matthaei (G.),Young (L.), andJones (E.),Microwave Filters, Impedance-Matching Networks, and Coupling Structures, McGraw-Hill (1964).

  16. Rebollar (J.), Esteban (J.), andPage (J.), Fullwave analysis of three and four-port rectangular waveguide junctions,IEEE Transactions on Microwave Theory and Techniques (1994),42, n° 2, pp. 256–263.

    Article  Google Scholar 

  17. Sieverding (T.) andArndt (F.), Modal analysis of the magic tee,IEEE Microwave and Guided Wave Letters (1993),3, n° 5, pp. 150–152.

    Article  Google Scholar 

  18. Sieverding (T.) andArndt (F.), Rigorous analysis of the rectangular waveguide six-port cross junction,IEEE Microwave and Guided Wave Letters (1993),3, n° 7, pp. 224–226.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations


Corresponding author

Correspondence to Vicente E. Boria.

Additional information

This work has been supported in part by Conselleria de Cultura, Educación y Ciencia, Generalitat Valenciana, under Research Project Ref. GV98-14-68, and in part by a Research Funding Programme of Universidad Politécnica de Valencia.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Cogollos, S., Boria, V.E., Esteban, H. et al. Efficient analysis of general waveguide multi-port junctions using a segmentation technique and hybrid matrix formulations. Ann. Télécommun. 56, 94–103 (2001).

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI:

Key words

  • Waveguide junction
  • Circuit analysis
  • Discontinuity
  • Matrix method
  • Microwave tee
  • Scattering parameter
  • Theoretical study
  • Experimental result

Mots clés

  • Jonction guide onde
  • Analyse circuit
  • Discontinuité
  • Méthode matricielle
  • Té hyperfréquence
  • Paramètre répartition
  • Etude théorique
  • Résultat expérimental