http://iet.metastore.ingenta.com
1887

Matrix theory for n-line mxicrowave coupler design

Matrix theory for n-line mxicrowave coupler design

For access to this article, please select a purchase option:

Buy article PDF
$19.95
(plus tax if applicable)
Buy Knowledge Pack
10 articles for $120.00
(plus taxes if applicable)

IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.

Learn more about IET membership 

Recommend Title Publication to library

You must fill out fields marked with: *

Librarian details
Name:*
Email:*
Your details
Name:*
Email:*
Department:*
Why are you recommending this title?
Select reason:
 
 
 
 
 
IEE Proceedings H (Microwaves, Optics and Antennas) — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

The matrix equations respresenting wave propagation along a multiconductor system of transmission lines are solved giving expressions for the scattering parameters in terms of the parameters of the lines themselves. We demonstrate the extensions and generalisations of co- and contradirectional coupling, coupled-mode theory and also the concept of the non-mode-converting termination to multiline systems. Concentrating on the simplifying assumption of weak reflections at the terminations we extend the weak coupling approximation of coupled-mode theory to allow for strong coupling between adjacent lines. A demonstration of this is given in the design of a three-line equal power splitting coupler with an arbitrary phase shift between output ports at the centre frequency.

References

    1. 1)
      • J.R. Carson , R.S. Hoyt . Propagation of periodic waves over a system of parallel wires. Bell Syst. Tech. J. , 495 - 545
    2. 2)
      • L. Brillouin . La theorie des matrices et la propagation des ondes. J Physique , 10 , 401 - 410
    3. 3)
      • S.O. Rice . Steady-state solution of transmission line equations. Bell Syst. Tech. J. , 2 , 131 - 178
    4. 4)
      • J.O. Scanlon . Theory of microwave coupled-line networks. Proc. IEEE , 2 , 209 - 231
    5. 5)
      • L.A. Pipes . Matrix theory of multiconductor transmission lines. Phil. Mag. , 97 - 100
    6. 6)
      • W.H. Louisell . (1960) , Coupled mode and parametric electronics.
    7. 7)
      • D.J. Gunton , E.G.S. Paige . An analysis of the general asymmetric directional coupler with non-mode-converting terminations. IEE J. Microwave Opt. & Acoust. , 1 , 31 - 36
    8. 8)
      • B.M. Oliver . Directional electromagnetic couplers. Proc. IEEE , 1686 - 1692
    9. 9)
      • P.R. Rigg , J.E. Carroll . Three-line broadband co-directional microwave couplers using planar comb and herring-bone microstrip lines. IEE Proc. H, Microwaves Opt. & Acoust. , 6 , 317 - 324
    10. 10)
      • S. Ramo , J.R. Whinnery , T.V. Duzer . (1984) , Fields and waves in communication electronics.
    11. 11)
      • L. Mirsky . (1955) , An introduction to linear algebra.
    12. 12)
      • F.R. Gantmacher . (1959) , The theory of matrices.
    13. 13)
      • R. Levy . General synthesis of asymmetric mutli-element coupled-transmission line directional couplers. IEEE Trans. , 226 - 237
    14. 14)
      • H.W. Turnbull . (1929) , The theory of determinants, matrices and invariants.
    15. 15)
      • G.F. Engen , C.A. Hoer . Application of an arbitrary six-port junction to power measurement problems. IEEE Trans. , 470 - 474
    16. 16)
      • G.A. Korn , T.M. Korn . (1968) , Mathematical hand book for scientists and engineers.
    17. 17)
      • P.A.M. Dirac . (1970) , Spinors in Hilbert space.
http://iet.metastore.ingenta.com/content/journals/10.1049/ip-h-1.1980.0066
Loading

Related content

content/journals/10.1049/ip-h-1.1980.0066
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading
This is a required field
Please enter a valid email address