Skip to main content
Log in

Design and Simulation of Square Aperture Multi-hole Legendre Waveguide Directional Couplers

  • Research Paper
  • Published:
Iranian Journal of Science and Technology, Transactions of Electrical Engineering Aims and scope Submit manuscript

Abstract

Waveguide directional couplers are fundamental microwave devices that are commonly used in routing RF signals to different ports within a waveguide network. Waveguides are coupled through apertures in a common wall between them. The shape and size of these apertures can be varied for certain coupling factors and to produce specific directivity patterns. This research applies the superformula in transitioning from circular apertures to square ones. Additionally, a novel approach to using the Legendre polynomials in sizing the apertures is discussed. Comparisons of the simulation results of Chebyshev and Legendre couplers show that Legendre couplers generally give a flatter directivity pattern for an equivalent coupling factor at 17.4 dB and bandwidth of 4 GHz centered at around 9 GHz. Moreover, square apertures are found to be noticeably superior to circular ones in their frequency response as they maintain a similar bandwidth of and higher directivity at an average of over 50 dB, but suffer poorer coupling factors, which increase by 6 dB.

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.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19
Fig. 20
Fig. 21
Fig. 22
Fig. 23

Similar content being viewed by others

References

  • Arvas E, Harrington R (1983) Computation of the magnetic polarizability of conducting disks and the electric polarizability of apertures. IEEE Trans Antennas Propag 31(5):719–725

    Article  Google Scholar 

  • Bozzi M (2011) Review of substrate-integrated waveguide circuits and antennas. IET Microw Antennas Propag 5:909–920

    Article  Google Scholar 

  • Cohn SB (1951) Determination of aperture parameters by electrolytic-tank measurements. Proc IRE 39(11):1416–1421

    Article  Google Scholar 

  • Cohn SB (1952) Microwave coupling by large apertures. Proc IRE 40(6):696–699

    Article  Google Scholar 

  • Collin R (1992) Foundations for microwave engineering. IEEE Press series on electromagnetic wave theory. McGraw-Hill, New York

    Google Scholar 

  • De Smedt R, Van Bladel J (1980) Magnetic polarizability of some small apertures. IEEE Trans Antennas Propag 28(5):703–707

    Article  Google Scholar 

  • Gimeno B, Guglielmi M (1997) Full wave network representation for rectangular, circular, and elliptical to elliptical waveguide junctions. IEEE Trans Microw Theory Tech 45(3):376–384

    Article  Google Scholar 

  • Kim D-H, Baik C-W, Jeon S-G, Park G-S (2002) A study on broadband multi-hole directional coupler. In: 2002 3rd International conference on microwave and millimeter wave technology, 2002. Proceedings. ICMMT 2002, pp 825–828

  • Levy R (1959) A guide to the practical application of Chebyshev functions to the design of microwave components. Proc IEE Part C Monogr 106:193–199

    Article  Google Scholar 

  • McDonald N (1985) Polynomial approximations for the electric polarizabilities of some small apertures. IEEE Trans Microw Theory Tech 33(11):1146–1149

    Article  Google Scholar 

  • McDonald N (1987) Polynomial approximations for the transverse magnetic polarizabilities of some small apertures. IEEE Trans Microw Theory Tech 35(1):20–23

    Article  Google Scholar 

  • McDonald N (1988) Simple approximations for the longitudinal magnetic polarizabilities of some small apertures. IEEE Trans Microw Theory Tech 36(7):1141–1144

    Article  Google Scholar 

  • Pozar DM (2011) Microwave engineering, 4th edn. Wiley, London

    Google Scholar 

  • Tayebi A, Zarifi D, Nasri M (2020) Design of x-band Moreno cross-guide coupler based on superformula curves. Int J RF Microw Comput Aided Eng 30(3):e22075

    Article  Google Scholar 

  • Wikipedia contributors (2022) Legendre polynomials—Wikipedia, the free encyclopedia. https://en.wikipedia.org/w/index.php?title=Legendre_polynomials &oldid=1128886668. Accessed 26 Dec 2022

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mohammad Sanad AlTaher.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

AlTaher, M.S., Dib, N. Design and Simulation of Square Aperture Multi-hole Legendre Waveguide Directional Couplers. Iran J Sci Technol Trans Electr Eng (2024). https://doi.org/10.1007/s40998-023-00688-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s40998-023-00688-5

Keywords

Navigation