8/26/2023 0 Comments Smith chart explained![]() ![]() Now we can draw some circles on Smith chart. Third, the normalized load impedance, which is also a complex number, can be expressed by the reflection coefficient.įourth, after rationalizing, the normalized load resistance z R and load reactance z I can be expressed by the following two circle equations.įinally, thanks to the author’s derivation, the equations of the two circle can be rewritten in a familiar format. And the load impedance is further normalized to the reference impedance z L=Z L/Z 0. It can be calculated based on a load impedance Z L (using a reference impedance Z 0). Second, this coefficient corresponds directly to a specific impedance as seen at the point it is measured. For details, please click the above link.įirst, the reflection coefficient is a complex number. I extract the main flow of derivations here. However, I am still confused about the exact size and position of the circles until I happen to find this derivation. Enter Load and Characteristic impedances to calculate VSWR and Reflection Coeffecients. You can toggle between Impedance and Admittance charts. After reading his slides, I kind of understand that Smith chart is trying to combine the impedance in Z plane with the reflection coefficient in Polar diagram. click anwhere inside the chart to see the corresponding circles. Delssperger and he also develops a handy software to help us with matching and etc. I can find lots of reference on Smith chart online, among which one of the most useful one is explained by Prof.
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