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Introduction to Transmission Lines

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Abstract

Transmission lines are introduced, emphasizing their fundamental role of simple mathematical and circuital mono-dimensional model, to describe the propagation phenomenon. The basic equations and properties are derived, and various relevant quantities (impedance, admittance, reflection coefficient, standing-wave ratio) are examined. Finally, basic matching techniques are presented.

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Notes

  1. 1.

    Using the one or the other depending on convenience, such as components in series for impedances, shunt components for admittances.

  2. 2.

    A current reflection coefficient \(\Gamma _I\) can also be defined, but the voltage one is usually employed unless the subscript “I” is specified.

  3. 3.

    Remember that in the case of normal incidence of uniform plane waves on a perfect conductor it was \(\Gamma _E=-1\).

  4. 4.

    The formula for the admittance is identical, as long as each impedance is replaced with the corresponding admittance.

  5. 5.

    \(\displaystyle \ell =\frac{\lambda _z}{4} \).

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Correspondence to Fabrizio Frezza .

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© 2015 Springer International Publishing Switzerland

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Frezza, F. (2015). Introduction to Transmission Lines. In: A Primer on Electromagnetic Fields. Springer, Cham. https://doi.org/10.1007/978-3-319-16574-5_3

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  • DOI: https://doi.org/10.1007/978-3-319-16574-5_3

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-16573-8

  • Online ISBN: 978-3-319-16574-5

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