PIER
 
Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 92 > pp. 137-151

EQUIVALENT GRAPHICAL SOLUTIONS OF TERMINATED CONJUGATELY CHARACTERISTIC-IMPEDANCE TRANSMISSION LINES WITH NON-NEGATIVE AND CORRESPONDING NEGATIVE CHARACTERISTIC RESISTANCES

By D. Torrungrueng and S. Lamultree

Full Article PDF (665 KB)

Abstract:
This paper presents the graphical solutions of conjugately characteristic-impedance transmission lines (CCITLs) implemented by periodically loaded lossless transmission lines (TLs), which can exhibit both non-negative (NNCR) and negative characteristic resistances (NCR) with the corresponding propagation constants. The standard T-chart and the extended T-chart are employed to solve CCITL problems with NNCR and NCR cases respectively, depending on the argument of CCITL characteristic impedances. The range of plotting of the standard T-chart and the extended T-chart is always inside or on the unit circle, and always outside or on the unit circle of the voltage reflection coefficient plane, respectively. Two examples of finite periodic TL structures providing both NNCR and NCR cases are given. It is found that both T-charts provide the same input impedance of the corresponding CCITLs as expected, and the standard T-chart is more familiar and easier to deal with.

Citation:
D. Torrungrueng and S. Lamultree, "Equivalent graphical solutions of terminated conjugately characteristic-impedance transmission lines with non-negative and corresponding negative characteristic resistances," Progress In Electromagnetics Research, Vol. 92, 137-151, 2009.
doi:10.2528/PIER09031001
http://www.jpier.org/PIER/pier.php?paper=09031001

References:
1. Torrungrueng, D. and C. Thimaporn, "A generalized ZY Smith chart for solving nonreciprocal uniform transmission-line problems," Microwave and Optical Technology Letters, Vol. 40, No. 1, 57-61, 2004.
doi:10.1002/mop.11284

2. Torrungrueng, D. and C. Thimaporn, "Application of the T-chart for solving exponentially tapered lossless nonuniform transmission-line problems ," Microwave and Optical Technology Letters, Vol. 45, No. 5, 402-406, 2005.
doi:10.1002/mop.20836

3. Torrungrueng, D. and C. Thimaporn, "Applications of the ZY T-chart for nonreciprocal stub tuners," Microwave and Optical Technology Letters, Vol. 45, No. 3, 259-262, 2005.
doi:10.1002/mop.20789

4. Torrungrueng, D., C. Thimaporn, and N. Chamnandechakun, "An application of the T-chart for solving problems associated with terminated finite lossless periodic structures," Microwave and Optical Technology Letters, Vol. 47, No. 6, 594-597, 2005.
doi:10.1002/mop.21239

5. Lamultree, S. and D. Torrungrueng, "On the characteristics of conjugately characteristic-impedance transmission lines with active characteristic impedance," The proceedings of the 2006 Asia-Pacific Microwave Conference, Vol. 1, 225-228, 2006.
doi:10.1109/APMC.2006.4429411

6. Torrungrueng, D., S. Lamultree, C. Phongcharoenpanich, and M. Krairiksh, "An in-depth analysis of reciprocal periodic structures of transmission lines," Accepted to publish in IET Microwaves, Antennas & Propagation, 2009.

7. Chou, P. Y. and D. Torrungrueng, "An extended ZY T-chart for conjugately characteristic-impedance transmission lines with active characteristic impedances," Microwave and Optical Technology Letters, Vol. 40, No. 1, 57-61, 2004.
doi:10.1002/mop.11284

8. Kharadly, M. M. Z., "Periodically loaded nonreciprocal transmission lines for phase-shifter applications ," IEEE Transactions on Microwave Theory and Techniques, Vol. 22, No. 6, 635-640, 1974.
doi:10.1109/TMTT.1974.1128305

9. Lindell, I. V., M. E. Valtonen, and A. H. Sihvola, "Theory of nonreciprocal and nonsymmetric uniform transmission lines," IEEE Transactions on Microwave Theory and Techniques, Vol. 42, No. 2, 291-297, 1994.
doi:10.1109/22.275260

10. Lindell, I. V. and A. H. Sihvola, "Duality transformation for nonreciprocal and nonsymmetric transmission lines," IEEE Transactions on Microwave Theory and Techniques, Vol. 45, No. 1, 129-131, 1997.
doi:10.1109/22.552042

11. Pozar, D. M., Microwave Engineering, 2nd edition, John Wiley & Sons, 1998.

12. Wu, Y. and Y. Liu, "Standard Smith chart approach to solve exponential tapered nonuniform transmission line problems," Journal of Electromagnetic Waves and Applications, Vol. 22, 1639-1646, 2008.
doi:10.1163/156939308786389997

13. Zhu, Y. and R. Lee, "TVFEM analysis of periodic structures for radiation and scattering," Progress In Electromagnetics Research, PIER 25, 1-22, 2000.

14. Khalaj-Amirhosseini, M., "Analysis of periodic and aperiodic coupled nonuniform transmission lines using the Fourier series expansion," Progress In Electromagnetics Research, PIER 65, 15-25, 2006.

15. Lu, W. and T. J. Cui, "Efficient method for full-wave analysis of large-scale finite-sized periodic structures," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 14, 2157-2168, 2007v.
doi:10.1163/156939307783152812

16. Du, P., B. Z. Wang, H. Li, and G. Zheng, "Scattering analysis of large-scale periodic structures using the sub-entire domain basis function method and characteristic function method ," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 14, 2085-2094, 2007.
doi:10.1163/156939307783152957

17. Fardis, M. and R. Khosravi, "Analysis of periodically loaded suspended substrate structures in millimeter wave," Progress In Electromagnetics Research B, Vol. 3, 143-156, 2008.
doi:10.2528/PIERB07120901

18. Lu, W. B., Q. Y. Zhao, and T. J. Cui, "Sub-entire-domain basis function method for irrectangular periodic structures," Progress In Electromagnetics Research B, Vol. 5, 91-105, 2008.
doi:10.2528/PIERB08020401

19. Saed, M. A., "Reconfigurable broadband microstrip antenna FED by a coplanar waveguide," Progress In Electromagnetics Research, PIER 55, 227-239, 2005.

20. Martin, F., F. Falcone, J. Bonache, T. Lopetegi, M. A. G. Laso, and M. Sorolla, "Analysis of the reflection properties in electromagnetic bandgap coplanar waveguides loaded with reactive elements," Progress In Electromagnetics Research, PIER 42, 27-48, 2003.

21. Agilent Genesys EDA Software 2008.07, Agilent Technologies Inc., USA, 2008.


© Copyright 2014 EMW Publishing. All Rights Reserved