I don't mean to speak for neddie here ariban, but I don't think the question is how to match a particular Z(s) to a particular Z(l). It's how to explore practical matching problems and issues by doing some actual experiments -- without having access to that beautiful $12,000 network analyzer

 

Spot on Curt :0)
A 500Mhz scope and sig gen is not exactly "minimal equipment" , but it's not state of the art. Most hobbyists / amateur radio
guys don't necessarily have high end equipment , but they make what they have work for them :0)
I might swap my matching parameters around , say 50 ohms to 3 ohms , then the loading of the scope probe will be minimized
by the low impedance of the load...:0)

 

Spot on Curt :0)
A 500Mhz scope and sig gen is not exactly "minimal equipment" , but it's not state of the art. Most hobbyists / amateur radio
guys don't necessarily have high end equipment , but they make what they have work for them :0)
I might swap my matching parameters around , say 50 ohms to 3 ohms , then the loading of the scope probe will be minimized
by the low impedance of the load...:0)

If you are going to use low impedance as load, you may add a resistor in serial with the probe. As a rule of thumb, the resistance should be 10-100 times of the load resistance. In your case, the serial resistor should be 30-300Ohm. This will further reduce the parasite capacitance/inductance introduced by the probe itself.

 

A question from an experimental standpoint: if you can characterize your 'scope impedance pretty well, couldn't you make your measurements on your circuit under test and then "back out" the scope impedance mathematically? That is, build a simple model of your matching circuit with Zt ('scope impedance) in parallel with Zl (your load impedance), and then recalculate the model as Zt approaches infinity?

Not ideal by any stretch of the imagination, and a lot of work But would it get you any closer to the actual characteristics of your matching network? I've been too lazy to try the math myself yet