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IEVref: | 726-19-01 | ID: | |

Language: | en | Status: Standard | |

Term: | Smith chart | ||

Synonym1: | Smith diagram [Preferred] | ||

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Definition: | graphical representation in polar coordinates of the amplitude reflection factor for a lossless uniform transmission line with characteristic impedance rZ_{0}:$\underset{\_}{r}=\frac{\underset{\_}{Z}-{Z}_{0}}{\underset{\_}{Z}+{Z}_{0}}=\frac{\underset{\_}{Z}/{Z}_{0}-1}{\underset{\_}{Z}/{Z}_{0}+1}$
in terms of the complex impedance R or the reactance X has a constant value, where = ZR + jX is the complex impedance in the direction of propagation of the incident wave at the point at which the amplitude reflection factor is evaluated
NOTE 1 – The Smith chart may be used with impedances NOTE 2 – The Smith chart is usually restricted to positive values of NOTE 3 – The Smith chart allows the conversion by direct reading of the amplitude reflection factor into the real and imaginary parts of the impedance or admittance and vice versa; the representation also simplifies the transformation of impedance or admittance from one point to another on the same transmission line. | ||

Publication date: | 1982 | ||

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Internal notes: | 2016-06-21: <i>Z</i><sub>o</sub> corrected to <i>Z</i><sub>0</sub> in equations. JGO 2017-06-02: Cleanup - Remove Attached Image 726-19-011.gif 2017-06-02: Cleanup - Remove Attached Image 726-19-012.gif 2017-06-02: Cleanup - Remove Attached Image 726-19-013.gif 2017-06-02: Cleanup - Remove Attached Image 726-19-014.gif | ||

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$\underset{\_}{r}=\frac{\underset{\_}{Z}-{Z}_{0}}{\underset{\_}{Z}+{Z}_{0}}=\frac{\underset{\_}{Z}/{Z}_{0}-1}{\underset{\_}{Z}/{Z}_{0}+1}$

in terms of the complex impedance * Z* by two families of orthogonal circles on each of which either the resistance