Sweeping frequency is tough to do with good repeatability. Sweeping a DC electromagnets current with a slow (minutes to hours) ramp gen is the option people has gone for. More recently, short bursts of RF energy and then fourier transforming the decaying echo. EPR is still usually CW swept field.
I'm curious why sweeping frequency is tough to do? The frequency of a signal is one of the things we can measure and control most precisely of all physical properties - we can generate tones in the lab that are accurate to ten decimal places or more quite 'trivially', but we need entire industries and years of expertise to create a voltage or current with have as many significant digits.
I'm not an expert on the topic, but it would seem to me that you can use a coupler (with 20 dB or 30 dB or more attenuation) to take the oscillator frequency and feed it back into a classic PLL architecture or similar, and sweep it with very high frequency, or even just linearly sweep the control voltage and just measure the frequency at the same time as you measure the detected power and store the power-vs-frequency with very high precision?
(it might be easier to just sweep field strength, as I said, I am not familiar with the details of the topic, but the statement that you can't sweep frequency repeatably just seems an odd one to me)
I guess it needs high power and receiver linearity. You are saying to connect a VNA to it. All I can think of is that the sample itself is nonlinear with power, even if you compensate with measurement. I think low signal VNA test subject is supposed to not be effected by power in terms of its response. The most powerful VNA I have seen myself is 150mW as a special feature, and this is only for a 300MHz unit.
The regime transition point between small signal and large signal S parameters might be much more different with a weird circuit element (i.e. epoxy) then it is with a microwave filter made of microwave components. In literature large-signal S-parameters are treated differently and are considered a more difficult, expensive test. The VNA cheats with measurement by assuming power invariance, which is OK for highly linear stuff and low power levels. And it might be bad for business if you put a whole bunch of clauses in the use of analytic equipment (it causes confusion if you say 'these things are ok with these settings, these settings are required for this, it might give you weird outputs for this', generally a simple measurement tool produces better results and prevents bad data from being published, if someone did not read a manual, and a company is more likely to buy it if they think its bullet proof. They want to say 'we put it in this machine and there are no doubts'. If it has huge adoption and everyone knows about it, then you can start putting complex features in it, but this sounds unheard of.. they want the market calm.
**** microwaves 101 ** just a hunch, not sure.
Types of S-parameters
When we are talking about networks that can be described with S-parameters, we are usually talking about single-frequency networks. Receivers and mixers aren't referred to as having S-parameters, although you can certainly measure the reflection coefficients at each port and refer to these parameters as S-parameters. The trouble comes when you wish to describe the frequency-conversion properties, this is not possible using S-parameters.
Small signal S-parameters are what we are talking about 99% of the time. By small signal, we mean that the signals have only linear effects on the network, small enough so that gain compression or other non-linear effects do not take place. For passive networks, small-signal is all you have to worry about, because they act linearly at any power level (at least until you blow them up).
Large signal S-parameters are more complicated. In this case, the S-matrix will vary depending upon the input signal strength. Measuring and modeling large signal S-parameters will not be described on this page (perhaps we will get into that someday)
Mixed-mode S-parameters refer to a special case of analyzing balanced circuits. We're not going to get into that either!
Pulsed S-parameters are measured on power devices so that an accurate representation is captured before the device heats up. This is a tricky measurement, and not something we're gonna tackle yet.