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Moderated Re: Another off-topic about Smith chart


 

Not a math wiz here but one of the best ways I learned about the chart back in college was to see the mathematical calculations (and thus derivations) for the actual circles. The smith chart has unique scales based on those equations which is why they are different from things you may be used to seeing. Have a look at this simplified (but well written description) of the derivation of the chart and see if that helps you visualize why the scales are so unique and why they look the way they do. I am still in awe at the genius involved almost a century ago for someone to come up with the concept. True brain power & genius.



Gedas, W8BYA EN70

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On 3/25/2020 11:05 AM, vaclav_sal via Groups.Io wrote:
An off - topic question to any math wiz knowledgeable about Smith chart.
There are oodles of stuff about Smith chart, but I have not be able to find
WHAT is the actual scale of the coordinates.
For example
real axis ( R +j0) goes from "zero" (left) to center of the chart - MOST of the time
designated as "one" .
Therefore - what is the scale between 0 and 1 - linear or log?
( No need to discuss log(0))
It PROBABLY makes no difference, but IMHO log scale would "loose" some visual
precision.
Please, no sermons / references about what is Smith chart , how to use it etc.
Sorry to post here , but I have limited choice.


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