Vol. 68
Latest Volume
All Volumes
PIERL 123 [2025] PIERL 122 [2024] PIERL 121 [2024] PIERL 120 [2024] PIERL 119 [2024] PIERL 118 [2024] PIERL 117 [2024] PIERL 116 [2024] PIERL 115 [2024] PIERL 114 [2023] PIERL 113 [2023] PIERL 112 [2023] PIERL 111 [2023] PIERL 110 [2023] PIERL 109 [2023] PIERL 108 [2023] PIERL 107 [2022] PIERL 106 [2022] PIERL 105 [2022] PIERL 104 [2022] PIERL 103 [2022] PIERL 102 [2022] PIERL 101 [2021] PIERL 100 [2021] PIERL 99 [2021] PIERL 98 [2021] PIERL 97 [2021] PIERL 96 [2021] PIERL 95 [2021] PIERL 94 [2020] PIERL 93 [2020] PIERL 92 [2020] PIERL 91 [2020] PIERL 90 [2020] PIERL 89 [2020] PIERL 88 [2020] PIERL 87 [2019] PIERL 86 [2019] PIERL 85 [2019] PIERL 84 [2019] PIERL 83 [2019] PIERL 82 [2019] PIERL 81 [2019] PIERL 80 [2018] PIERL 79 [2018] PIERL 78 [2018] PIERL 77 [2018] PIERL 76 [2018] PIERL 75 [2018] PIERL 74 [2018] PIERL 73 [2018] PIERL 72 [2018] PIERL 71 [2017] PIERL 70 [2017] PIERL 69 [2017] PIERL 68 [2017] PIERL 67 [2017] PIERL 66 [2017] PIERL 65 [2017] PIERL 64 [2016] PIERL 63 [2016] PIERL 62 [2016] PIERL 61 [2016] PIERL 60 [2016] PIERL 59 [2016] PIERL 58 [2016] PIERL 57 [2015] PIERL 56 [2015] PIERL 55 [2015] PIERL 54 [2015] PIERL 53 [2015] PIERL 52 [2015] PIERL 51 [2015] PIERL 50 [2014] PIERL 49 [2014] PIERL 48 [2014] PIERL 47 [2014] PIERL 46 [2014] PIERL 45 [2014] PIERL 44 [2014] PIERL 43 [2013] PIERL 42 [2013] PIERL 41 [2013] PIERL 40 [2013] PIERL 39 [2013] PIERL 38 [2013] PIERL 37 [2013] PIERL 36 [2013] PIERL 35 [2012] PIERL 34 [2012] PIERL 33 [2012] PIERL 32 [2012] PIERL 31 [2012] PIERL 30 [2012] PIERL 29 [2012] PIERL 28 [2012] PIERL 27 [2011] PIERL 26 [2011] PIERL 25 [2011] PIERL 24 [2011] PIERL 23 [2011] PIERL 22 [2011] PIERL 21 [2011] PIERL 20 [2011] PIERL 19 [2010] PIERL 18 [2010] PIERL 17 [2010] PIERL 16 [2010] PIERL 15 [2010] PIERL 14 [2010] PIERL 13 [2010] PIERL 12 [2009] PIERL 11 [2009] PIERL 10 [2009] PIERL 9 [2009] PIERL 8 [2009] PIERL 7 [2009] PIERL 6 [2009] PIERL 5 [2008] PIERL 4 [2008] PIERL 3 [2008] PIERL 2 [2008] PIERL 1 [2008]
2017-05-24
A Logarithmic Version of the Complex Generalized Smith Chart
By
Progress In Electromagnetics Research Letters, Vol. 68, 53-58, 2017
Abstract
Based on the complex analysis of the Lossy Transmission Line Theory, which involves the result of a Generalized Smith Chart, a new version of the last one arises when trying to characterize the wave impedance along the Transmission Line by means of analytical complex functions. Among these functions, the complex logarithm of the reflection coefficient leads to the logarithmic-reflexion coefficient-plane and its parameterized version, the Logarithmic Generalized Smith Chart. This plane is specially useful for characterizing the Transmission Line along its extension. To validate these results, some examples will be presented providing physical interpretations to the behaviour of a lossy TL and pointing out some practical applications.
Citation
Pablo Vidal-Garcia, and Emilio Gago-Ribas, "A Logarithmic Version of the Complex Generalized Smith Chart," Progress In Electromagnetics Research Letters, Vol. 68, 53-58, 2017.
doi:10.2528/PIERL17022009
References

1. Gago-Ribas, E., Complex Transmission Line Analysis Handbook, Vol. GW-I, ``Electromagnetics & Signal Theory Notebooks" series. GR-Editores, 2001.

2. Gago-Ribas, E., P. Vidal-Garcia, and J. Heredia-Juesas, "Complex analysis and parameterization of the lossy transmission line theory and its application to solve related physical problems," International Conference on Electromagnetics in Advanced Applications, ICEAA 2015 Proceedings, 141-144, Torino, Italia, September 7-11, 2015.

3. Smith, P. H., "Transmission-line calculator," Electronics, Vol. 12, 29, 1939.

4. Smith, P. H., "An improved transmission-line calculator," Electronics, Vol. 17, 130, 1944.

5. Gago-Ribas, E., C. Dehesa Martinez, and M. J. Gonzalez Morales, "Complex analysis of the lossy-transmission line theory: A generalized Smith Chart," Turkish Journal of Electrical Engineering & Computer Sciences (Elektrik), Special issue on Electrical and Computer Engineering Education in the 21st Century; Issues, Perspectives and Challenges, Turkey, Vol. 14, No. 1, 173-194, 2006.

6. Wu, Y., Y. Zhang, and Y. Liu, "Analysis of the omnipotent Smith Chart with imaginary characteristic impedances," ICMMT 2008 Proceedings, Nanjing, China, April 2014.

7. Wu, Y., H. Huang, and Y. Liu, "An extended omnipotent Smith Chart with active parameters," Microwave and Optical Technology Letters, Vol. 50, No. 4, 896-899, 2008.
doi:10.1002/mop.23229