Wow, I like your idea... It's very similar in concept. Set up a system which naturally resonates at a specific frequency, then add energy at that frequency until something has to give...
I am familiar with Migma, which has self-intersecting orbits. I believe the main difference is that my ions will have a thermal distribution from the start, yet still be able to self intersect. (Particle velocity does not change cyclotron orbit timing until much higher energies. So Rider's arguments are not as applicable)
My hope is to exceed the Brillouin limit only very briefly, and that most of the time, the plasma will be diffuse enough that space charge won't be an issue...
The size of the focus should be the diameter of the electron beam, and electron beams can be very narrow. If the beam diameter is made very very small (electron microscopes prove this is possible), density at the focus could be very high for very short amounts of time... higher than even the Z machine, yet would quickly drop to levels low enough that space charge is not an issue.
The possibility of this periodic density spike is predicted in "Beyond the Brillouin limit with the penning fusion experiment" which implies that local density can exceed the limit in either space or time. They chose space, I've chosen time.
I'd love to email you about this, but fear I'm falling well into crank territory as it is. I'm pontifier everywhere, including gmail.