Why in smithchart 360 degree corresponds to half the wavelength

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SUMMARY

The Smith chart represents the relationship between the reflection coefficient and the length of a transmission line. A full wavelength (λ) corresponds to 360 degrees on the Smith chart, while a quarter wavelength (λ/4) corresponds to a 180-degree movement. When a short circuit is present on an electrically short transmission line, the reflection coefficient is -1, plotted on the left side of the chart. Lengthening the transmission line by λ/4 transforms the reflection coefficient to +1, effectively moving the point to the right side of the chart, demonstrating the chart's unique properties in RF engineering.

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dexterdev
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Hi,
Actually wavelength λ corresponds to 360 degrees , right? then why λ/2...
 
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Don't expect Smith chart to work like an Argand diagram.

Consider a short circuit on an electrically short transmission line. This will have reflection coefficient of -1, which will be plotted on the far left side of Smith chart. If I lengthen transmission line by 1/4 wavelength in front of short circuit, it will have a reflection coefficient of +1 (i.e. it will look like an open circuit), which will be plotted on the far right hand side of Smith chart. Extending transmission line 1/4 wavelength moved us halfway around Smith chart.
 

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