Moving Reference Planes of Unit Cells of Reciprocal Lossy Periodic Transmission-Line Structures

Suthasinee Lamultree

Abstract


An analysis of moving reference planes of unit cells of reciprocal lossy periodic transmission-line (TL) structures (RLSPTLSs) by using the equivalent bi- characteristic-impedance transmission line (BCITL) model is presented. Applying the BCITL theory, only the equivalent BCITL parameters (characteristic impedances for wave propagating in forward and reverse directions and associated complex propagation constant) are of interest. In the analysis, an arbitrary infinite RLSPTLS is firstly considered by shifting a reference position of unit cells along TLs. Then, a semi-infinite terminated RLSPTLS is subsequently investigated in term of associated load reflection coefficients. It is found that the equivalent BCITL characteristic impedances of the original and shifted unit cells, as well as the associated load reflection coefficients of both unit cells, are mathematically related by the bilinear transformation. However, the equivalent BCITL complex propagation constant remains unchanged. Numerical results are provided to show the validity of the proposed technique.


Full Text:

Article In Press

References


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

C. Caloz and T. Itoh, Electromagnetic Metamaterials Transmission Line and Theory and Microwave Applications, John Wiley & Sons, 2006.

M. Lee, B. A. Kramer, C. Chen and J. L. Volakis, “Distributed lumped loads and lossy transmission line model for wideband spiral antenna miniaturization and characterization,” IEEE Transactions on Antennas and Propagation, 2007, 55(10), pp. 1671-1678.

C. Zhou and H. Y. D. Yang, “Design considerations of miniaturized least dispersive periodic slow-wave structures,” IEEE Transactions on Microwave Theory and Techniques, 2008, 56(2), pp. 467-474.

F. Bongard, J. Perruisseau-Carrier and J. R. Mosig, “Enhanced periodic structure analysis based on a multiconductor transmission line model and application to metamaterials,” IEEE Transactions on Microwave Theory and Techniques, 2009, 57(11), pp. 2715-2726.

I. Jongsuebchoke, P. Akkaraekthalin and D. Torrungrueng, “Theory and design of quarter-wave-like transformers implemented using conjugately characteristic-impedance transmission lines,” Microwave and Optical Technology Letters, 2016, 58(11), pp. 2614-2619.

D. Torrungrueng, S. Kawduangta and P. Akkaraekthalin, “An efficient analysis of the far-field radiation of an electric/magnetic Hertzian dipole embedded in electromagnetic bandgap structures of periodic lossless multilayers using the equivalent CCITL model,” Journal of Electromagnetic Waves and Applications, 2016, 30(17), pp. 2227-2240.

R.E. Collin, Foundations for Microwave Engineering, 2nd ed., McGraw Hill, 1992.

D. Torrungrueng, C. Thimaporn, S. Lamultree and M. Krairiksh, “Theory of small reflections for conjugately characteristic-impedance transmission lines,” IEEE Microwave and Wireless Components Letters, 2008, 18(10), pp. 659-661.

D. Torrungrueng, S. Lamultree, C. Phongcharoenpanich, and M. Krairiksh, “In-depth analysis of reciprocal periodic structures of transmission lines,” IET Transaction of Microwaves, Antennas & Propagation, 2009, 3(4), pp. 591-600.

D. Torrungrueng, Meta-Smith Charts and Their Potential Applications, Morgan & Claypool Publishers, 2010.

D. Torrungrueng, P. Y. Chou, and M. Krairiksh, “A graphical tool for analysis and design of bi-characteristic-impedance transmission lines,” Microwave and Optical Technology Letters, 2007, 49.10, pp. 2368-2372.

S. Lamultree, D. Torrungrueng, and P. Akkaraekthalin, “Analysis of reciprocal lossy periodic transmission-line structures using bi-characteristic-impedance transmission lines and Meta-Smith charts,” Proceedings of the12th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology, 2015.

D. Pissoort, and F. Olyslager, “Study of eigenmodes in periodic waveguides using the Lorentz reciprocity theorem,” IEEE Transactions on Microwave Theory and Techniques, 2004, 52(2), pp. 542-553.

A. D. Yaghjian, “Bidirectionality of reciprocal, lossy or lossless, uniform or periodic waveguides,” IEEE Microwave and Wireless Components Letters, 2007, 17(7), pp. 480-482.

R. E. Collin, Foundations for Microwave Engineering, 2nd ed. Hoboken, NJ: Wiley/IEEE, 2001.

S. Lamultree, P. Akkaraekthalin, and D. Torrungrueng, “A Numerical Study of Moving Reference Planes Associated with Unit Cells of Reciprocal Lossy Periodic Transmission-Line Structures by Using the Equivalent BCITL Model,” Procedia Computer Science, 2016, 86, pp. 63-66.

M. J. Ablowitz and A. S. Fokas, Complex Variables, New York: Cambridge University Press, 1997.


Refbacks

  • There are currently no refbacks.


E-Journal © ECTI Asscoiation, Thailand, Contact Us.
Web: http://ecti-eec.org/