Dergiler / Turkish Journal of Electrical Engineering and Computer Science / 2006 / Cilt: 14 - Sayı: 1

Complex Analysis of the Lossy-Transmission Line Theory: A Generalized Smith Chart

Sayfa
173–194
Yayın Tarihi
2006-01-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

This methodology has been also implemented into a suitable software tool which serves as a perfect complement to visualize and understand the underlying analysis, thus improving the educational possibilities of this kind of generalized analyses.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:It has been very usual in the specialized literature to skip the detailed study of the lossy transmission line theory by reducing it to the low-loss approximation.
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Temel Bulgular & Veri:Although this is valid in the most common practical cases, the study of the general lossy case becomes very important due to the fact that it makes possible a better and deeper understanding of the physical effects associated to general losses, as well as the low-loss frequency-dependent regime.
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Sonuç & Katkı:This methodology has been also implemented into a suitable software tool which serves as a perfect complement to visualize and understand the underlying analysis, thus improving the educational possibilities of this kind of generalized analyses.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Complex analysis · losses · low-loss approximation

Özet

It has been very usual in the specialized literature to skip the detailed study of the lossy transmission line theory by reducing it to the low-loss approximation. Although this is valid in the most common practical cases, the study of the general lossy case becomes very important due to the fact that it makes possible a better and deeper understanding of the physical effects associated to general losses, as well as the low-loss frequency-dependent regime. Besides, the analysis of the general case provides important results that may be extended to the analysis of real waveguiding systems, facilitating the understanding and description of their physical behavior. The present paper deals with the analysis of the most important parameters involved in the general lossy transmission line theory by introducing a general methodology based on their complex analysis. This methodology let us to understand and predict the physical behavior of a lossy transmission line problem by means of very intuitive graphical representations. As a particular result, the concept of a generalized Smith chart will appear. As a consequence, this general analysis covers the usual lossless and low-loss cases, providing a clear methodology that may be properly used for both educational and professional purposes. This methodology has been also implemented into a suitable software tool which serves as a perfect complement to visualize and understand the underlying analysis, thus improving the educational possibilities of this kind of generalized analyses.

Abstract

It has been very usual in the specialized literature to skip the detailed study of the lossy transmission line theory by reducing it to the low-loss approximation. Although this is valid in the most common practical cases, the study of the general lossy case becomes very important due to the fact that it makes possible a better and deeper understanding of the physical effects associated to general losses, as well as the low-loss frequency-dependent regime. Besides, the analysis of the general case provides important results that may be extended to the analysis of real waveguiding systems, facilitating the understanding and description of their physical behavior. The present paper deals with the analysis of the most important parameters involved in the general lossy transmission line theory by introducing a general methodology based on their complex analysis. This methodology let us to understand and predict the physical behavior of a lossy transmission line problem by means of very intuitive graphical representations. As a particular result, the concept of a generalized Smith chart will appear. As a consequence, this general analysis covers the usual lossless and low-loss cases, providing a clear methodology that may be properly used for both educational and professional purposes. This methodology has been also implemented into a suitable software tool which serves as a perfect complement to visualize and understand the underlying analysis, thus improving the educational possibilities of this kind of generalized analyses.

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Bu Makaleye Atıf Yap

GAGO-RIBAS, E., DEHESA-MARTINEZ, C., GONZÁLEZ-MORALES, M. J. (2006). Complex Analysis of the Lossy-Transmission Line Theory: A Generalized Smith Chart. Turkish Journal of Electrical Engineering and Computer Science, Cilt: 14 - Sayı: 1, 173–194. https://ajindex.com/articles/189071

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Kaynakça (5)

  1. Cheng, D. K. Field and Wave Electromagnetics. Addison-Wesley Publishing Company, 1989.
  2. Pozar, D. M. Microwave Engineering. Addison-Wesley Publishing Company, 1990.
  3. Collin, R. E. Foundations for Microwave Engineering. McGraw-Hill International Editions, 1992. Emilio Gago-Ribas. Complex Transmission Line Analysis Handbook. Vol. GW-I. In the series Electromagnetics & Signal Theory Notebooks. GR Editores, Le´on, Spain, June, 2001. ISBN 84-607.2514-6. (www.greditores.com) Smith, P. H. Transmission-Line Calculator. Electronics, vol.12, p. 29, January 1939.
  4. Smith, P. H. An Improved Transmission-Line Calculator. Electronics, vol. 17, p. 130, January 1944.
  5. Emilio Gago-Ribas, Mar´ıa J. Gonz´alez Morales, Carolina Garc´ıa V´azquez, A. Pecharroman Hern´andez, S. P´erez Baraja, J. C. Fern´andez P´erez, M. C. Gonz´alez Rodr´ıguez. Software Tool for Transmission Line Analysis. Frontiers in Education (FIE 2000). University of Kansas. Kansas. USA. pp. S1E-10-S1E16 (Ref. 1213-CD). October, 2000.