volume | PIER Journals

Abstract

The effect of measurement errors in the S-matrix of a reciprocal 2-port device is recognized in the (usually low) difference between S₁₂ and S₂₁, as the device were nonreciprocal. This ``false non-reciprocity'' is analyzed in the present paper, and it is verified that, for low loss device, the difference acts principally on the phases of S₁₂ and S₂₁. This anomaly can be removed if a numerical correction is applied to the experimental S-matrix. In doing so, it is proved that the residual measurement errors have comparable amplitudes on all scattering parameters.

1. Zappelli, L., "Equivalent circuits of lossy two-port waveguide devices," IEEE Transactions on Microwave Theory and Techniques, Vol. 67, No. 10, 4095-4106, Oct. 2019.
doi:10.1109/TMTT.2019.2931553

2. Chen, C. and T. Chu, "Accuracy criterion for s-matrix reconstruction transforms on multiport networks," IEEE Transactions on Microwave Theory and Techniques, Vol. 59, No. 9, 2331-2339, Sep. 2011.
doi:10.1109/TMTT.2011.2160082

3. Zappelli, L., "Reconstruction of the S-matrix of n-port waveguide reciprocal devices from 2-port VNA measurements," Progress In Electromagnetics Research B, Vol. 72, 129-148, 2017.
doi:10.2528/PIERB16102402

4. Carlin, H., "On the physical realizability of linear non-reciprocal networks," Proceedings of the IRE, Vol. 43, No. 5, 608-616, May 1955.
doi:10.1109/JRPROC.1955.278106

5. Carlin, H., "The scattering matrix in network theory," IRE Transactions on Circuit Theory, Vol. 3, No. 2, 88-97, Jun. 1956.
doi:10.1109/TCT.1956.1086297

6. Youla, D., L. Castriota, and H. Carlin, "Bounded real scattering matrices and the foundations of linear passive network theory," IRE Transactions on Circuit Theory, Vol. 6, No. 1, 102-124, Mar. 1959.
doi:10.1109/TCT.1959.1086518

7. Youla, D., "Direct single frequency synthesis from a prescribed scattering matrix," IRE Transactions on Circuit Theory, Vol. 6, No. 4, 340-344, Dec. 1959.
doi:10.1109/TCT.1959.1086571

8. Carlin, H. and D. Youla, "Network synthesis with negative resistors," Proceedings of the IRE, Vol. 49, No. 5, 907-920, May 1961.
doi:10.1109/JRPROC.1961.287934

9. Carlin, H. and D. Youla, "The realizability of the complex ideal transformer," IRE Transactions on Circuit Theory, Vol. 9, No. 4, 412, Dec. 1962.
doi:10.1109/TCT.1962.1086967

10. Carlin, H., "On the existence of a scattering representation for passive networks," IEEE Transactions on Circuit Theory, Vol. 14, No. 4, 418-419, Dec. 1967.
doi:10.1109/TCT.1967.1082748

11. Zappelli, L., "Identification of equivalent circuit based on polygon network for nonreciprocal lossy n-port device," Progress In Electromagnetics Research B, Vol. 77, 1-20, 2017.
doi:10.2528/PIERB17040307

12. https://www.keysight.com/us/en/assets/7018-03314/data-sheets/5990-9783.pdf.

Dr. Leonardo Zappelli