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

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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.

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How to Cite
Lamultree, S. (2018). Moving Reference Planes of Unit Cells of Reciprocal Lossy Periodic Transmission-Line Structures. ECTI Transactions on Electrical Engineering, Electronics, and Communications, 16(2), 15-20. https://doi.org/10.37936/ecti-eec.2018162.171331
Section
Communication Systems

References

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

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

[3] 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 Trans. Antennas Propagation, pp. 1671-1678, 2007.

[4] C. Zhou and H. Y. D. Yang, "Design considerations of miniaturized least dispersive periodic slow-wave structures," IEEE Trans. Microwave Theory Techniques, pp. 467-474., 2008.

[5] 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 Trans. Microwave Theory Techniques, 2009, pp. 2715-2726.

[6] I. Jongsuebchoke, P. Akkaraekthalin and D. Torrungrueng, "Theory and design of quarter wave-like transformers implemented using conjugately characteristic-impedance transmission lines," Microwave Optical Technology Lett., 2016, pp. 2614-2619.

[7] D. Torrungrueng, S. Kawduangta and P. Akkaraekthalin, "An efficient analysis of the farfield radiation of an electric/magnetic Hertzian dipole embedded in electromagnetic bandgap structures of periodic lossless multilayers using the equivalent CCITL model," J. Electromagnetic Waves Applicat., 2016, pp. 2227-2240.

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

[9] D. Torrungrueng, C. Thimaporn, S. Lamultree and M. Krairiksh, "Theory of small reflections for conjugately characteristic-impedance transmission lines," IEEE Microwave Wireless Components Lett., 2008, pp. 659-661.

[10] D. Torrungrueng, S. Lamultree, C. Phongcharoenpanich and M. Krairiksh, "Indepth analysis of reciprocal periodic structures of transmission lines," IET Trans. Microwaves, Antennas Propagation, 2009, pp. 591-600.

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

[12] D. Torrungrueng, P. Y. Chou and M. Krairiksh, "A graphical tool for analysis and design of bi-characteristic-impedance transmission lines," Microwave Optical Technology Lett., 2007, pp. 2368-2372.

[13] S. Lamultree, D. Torrungrueng and P. Akkaraekthalin, "A graphical tool for analysis and design of bi-characteristic-impedance transmission lines," Proc. 12th Int. Conference Elect. Eng./Electron., Comput., Telecommun. Inform. Technology, 2015.

[14] D. Pissoort and F. Olyslager, "Study of eigenmodes in periodic waveguides using the Lorentz reciprocity theorem," IEEE Trans. Microwave Theory Techniques, 2004, pp. 542-553.

[15] A. D. Yaghjian, "Bidirectionality of reciprocal, lossy or lossless, uniform or periodic waveguides," IEEE Microwave Wireless Components Lett., 2007, pp. 480-482.

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

[17] 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 Comput. Sci., 2016, 86, pp. 63-66.

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