The single-section couplers are narrow band devices, so in order to.. broadcn the useful bandwidth, three-section couplers are used. In this papcr a system of two of three-section couplers is used to construct a six-port reflectometer. The realized six-port reflectometer is calibrated and used to measure different unknown complex terminations. The results of thc sixport reflectometer is found to Le in good agreement with the measurements of the vector network analyzer (HP-85 1OC) with an error not exceeding 4% iii magnitude and 4' in phase in the frequency range (2.4-4.4GHZ).
1.IntroductionThe three-section coupler is a tliree-quaner wavelength coupler. Tlic analysis is simplified somewhat when one recognizes dwt the coupler is analytically similar to the quarter-wave transformer [ 1-21. Another way of the analysis of the three-section coupler is carried out by taking the advantages of the four fold symmetries of the slructures. Fig.1. and the even and odd mode escitations technique [3]. A six port reflectometer is analyzed and designed by using two of the prescribed three-section coupler. The system w a s first simulated by ready-made software package and then fabricated and tested. The measured S-parameters gave good agreement with the theoretical one. The sis-port was calibrated with a matched load and tliree positions of a sliding short circuit [ I ] in order to obtain the calibration constants.
2.Analysis and Design of a Three-Section CouplerEscitations are chosen [3] so that the symmetry plane aa. Fig. 1, corresponds to an electric wall (short circuit) or a magnetic wall (open circuit). The Same is done for the case of symmetry plane bb corresponding to an electric or iiiagnetic wall. When bb corresponds to an electric wall, tire mode of propagation on tlrc coupled lines is the odd mode that has a cliaracteristic impedance Zoo and propagation constant Po. When bb corresponds to a magnetic wall, the mode of propagation is the even mode that has a characteristic impedance Z , , and propagation constant pe. The propagation constants are different because the medium is nonhomogeneous. By considering the four different escitations for the three-scction coupler and after some derivations the transmission and coupling parameters are [3]: