frequency responsesmith chart
What is the relationship, if any, between a Smith Chart and a frequency response (magnitude and phase) graph?
If there is any relationship, what additional constraints or information (topology, port characteristic(s), electrical length(s)/size(s), etc.) would be needed to transform or derive one from the other (over some given frequency range).
A Smith Chart is not so much an attenuator design aid
as a means of evaluating and adjusting a design.
So - see attenuator articles below and then Smith chart articles.
Carbon resistors may be carbon film or carbon composition?
Carbon film are not suitable for UHF work as they are formed by cutting a spiral track in a carbon film cylinder, so have very substantial inductance.
Carbon composition have a solid carbon body and may be suitable for UHF work depending on other factors.
UHF Attenuators:
Attenuator design tutorial - looks good.
Interest - Commercial products
What is a Smith Chart?
Wikipedia gives a better than average concise summary:
From here
Somewhat gentle introduction - 27 page powerpoint intro - still gets deep quite quickly BUT a Smith Chart can be very very useful with almost no maths or numerics involved.
Superb Smith Chart resource - essentially an index of indexes - breaks subject up into sections and provides many references for each.
Another good list of references
Smith Chart tutorial from Maxim - reasonable "dense" but looks understandable.
You'll understand this once you've read it :-)
Consider microwave amplifier basic design,
and compare this with your cicuit,
If you look from the transistor input port towards left then Z0 it will be treated as load side. Then you convert Γsource to admittance and use open circuit stub.
Best Answer
There is none, really. A Smith chart is a mapping of complex impedance plane (Real Resistance, Positive and negative reactance) into a circle, while a frequency response is gain and phase measured between two points in a circuit.