By Danai Torrungrueng, Constantin A. Balanis
This e-book offers the advancements and capability functions of Meta-Smith charts, that are utilized to sensible and invaluable transmission line difficulties (e.g., metamaterial transmission traces and nonreciprocal transmission lines). those difficulties are past the potential of the traditional Smith chart to be utilized successfully. As any RF engineer knows, a key estate of the Smith chart is the perception it presents, even in very advanced layout tactics. just like the Smith chart, Meta-Smith charts supply an invaluable means of visualizing transmission line phenomena. they supply invaluable actual perception, and so they may also help in fixing comparable difficulties successfully. This publication can be utilized as a better half advisor in learning Microwave Engineering for senior undergraduate scholars in addition to for graduate scholars. it's also steered for researchers within the RF group, in particular these operating with periodic transmission line buildings and metamaterial transmission strains. difficulties also are supplied on the finish of every bankruptcy for readers to achieve a greater realizing of fabric awarded during this e-book. desk of Contents: crucial Transmission Line idea / conception of CCITLs / conception of BCITLs / Meta-Smith Charts for CCITLs and BCITLs / functions of Meta-Smith Charts
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Additional resources for Meta-Smith Charts and Their Potential Applications
2). 4) where P and Q are the real and imaginary parts of the complex characteristic impedance Z0+ respectively, and U and V are the real and imaginary parts of the complex characteristic impedance Z0− , respectively. 3. 5) are employed. 6) is the arithmetic mean of γ ± , which can be expressed as 1 + γ˜ = γ + γ− . 7)). 8), respectively. 5, finite reciprocal lossless periodic TL structures are discussed in detail. , lossy TLs and lossy lumped elements. 2 illustrates an example of an unsymmetrical unit cell associated with reciprocal lossy periodic TL structures.
10. 9. 1 INTRODUCTION In Chapter 2, the theory of CCITLs is developed in detail. Thus, one needs to resort to a more general model for these lossy elements, which is the model based on bi-characteristic-impedance transmission lines (BCITLs). 1. In addition, BCITLs generally possess different complex propagation constants γ + and γ − for forward and reverse waves, respectively. 1, the BCITL of length is terminated in a passive load impedance ZL , where is the voltage reflection coefficient at the load and Zin is the input impedance of the terminated BCITL.
L. Cox, C. D. D. Prather, “An exponentially tapered transmission line antenna,” IEEE Transactions on Electromagnetic Compatibility, vol. 36, no. 2, pp. 141–144, May 1994. 293276 9, 10  S. P. Mathur and A. K. 135, no. 4, pp. 272 – 274, Aug. 1988.  D. Torrungrueng 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, pp. 402–406, Jun. 2005. 1. 2 and taking the limit as z → 0.