Abstract

A modal analysis for the directional coupler is presented in this paper. The analysis is based on the mode-matching technique. The theory is verified by Ansoft HFSS software at a directional coupler with standard X-band (WR 90) rectangular waveguide ports. Element values of equivalent circuit model are computed by using the S-parameters obtained from the presented method in this paper. In addition this paper has corrected two formulations used in two previous works which have been published.

Highlights

  • Duo to its equal power splitting, high isolation, low VSWR and accurate 90 phasing, the directional coupler [1] is a very attractive microwave circuit element for many applications such as in the duplexer, balance mixers, broad band-band switches, and H-plane magic tee[2,3]

  • The structure of a narrow wall directional coupler is shown in Fig. 1, the two waveguides are coupled through the slot in the narrow wall

  • The geometry of the narrow wall directional coupler is shown in Fig. 1, the two waveguides are coupled through the slot in the narrow wall

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Summary

Introduction

Duo to its equal power splitting, high isolation, low VSWR and accurate 90 phasing, the directional coupler [1] is a very attractive microwave circuit element for many applications such as in the duplexer, balance mixers, broad band-band switches, and H-plane magic tee[2,3]. The key to designing the coupler is to obtain the width of the slot and the width of the coupling region [4, 5], so a large number of directional coupler simulated to find out the best one which realizes a -3dB coupler. The topology of the model is the same as that introduced by Marcuvitz [11] This method calculates the admittance matrix of the directional coupler from its scattering matrix that is obtained by the modematching technique

Modal analysis
Ia a1 x z
Numerical results
Equivalent circuit
Conclusion
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