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Re: Smith Charts


 

Jim,

You are exactly right about the graphical design of a matching network. Some years ago I worked up a network which involved solving a quadratic equation, easily done. So I had an analytic solution for that network.

I wanted a similar, but not identical network that also involved a quadratic. Well, sort of: the equation for that network involved a multiplicative term that made its solution difficult to visualize, at least for me.

But in plotting what I wanted each network to do on a Smith chart, I could see a reverse symmetry between the networks. Modifying the first solution using that information yielded an exact analytic solution for the second network.

I don't known whether or not I would have seen that solution without resort to the visual presentation of a Smith chart.

73,

Maynard
W6PAP

On 4/26/25 17:09, Jim Lux via groups.io wrote:
Convenience for graphical design of a matching network. There¡¯s also sort of a qualitative thing that you recognize particular ¡°shapes¡± on the chart as having particular significance.
And, if you¡¯re tuning a filter by turning a screw, sometimes seeing the Smith chart in real time is more ¡°intuitive¡± in some sense. I tune filters looking at magnitude S11 and S22 and S21. For a three section filter, you can see the three resonances, and looking from one end or the other tends to emphasize the section closest to the port you¡¯re looking at.
These days, with computers, seeing the Smith chart isn¡¯t as useful.
I use plots of magnitude and phase for design. And I work with a lot of more than one port systems, for which the Smith chart is less useful. For instance, if you¡¯re looking at the coupling among antennas in a phased array.
On Apr 26, 2025, at 16:46, Brian Beezley <k6sti@...> wrote:

?On Sat, Apr 26, 2025 at 04:32 PM, W0LEV wrote:


The VECTOR reflection coefficient gives you far
more information than just frequency response!!

If you can plot the real and imaginary parts of an S-parameter as well as magnitude, phase, and SWR, what additional information does a Smith chart provide? Is the advantage that you get SWR and impedance in one curve as Stan suggests?

Brian




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