Again I say, you are either misunderstanding "lines of force" or "field" or both. Likely both.
A field is analogous to density. It's so many units of Energy (or some derivative thereof, such as Voltage) per unit of space (length usually).
If you ask to "squeeze" or "compress" a field, you are asking to "squeeze" or "compress" density. How do you squeeze density? By adding more energy (or magnetism or whatever) into the system? How do you get a 1 cc marshmallow to be as heavy as lead. OK compress it. It's still light as a feather. Now add 10,000 more of these compressed nanocubes and finally your 1cc cube weighs as much as lead. And by the way, it doesn't turn into lead in the process
You seem to be addressing a field as if it is a quantity of energy, which it isn't. It's the density of energy within a given amount of space.
The other supposition, that the "compression" avalanches, or whatever, into luminosity, or creating or emitting photons or light beams- or moon beams maybe is more appropriate - this is not what happens when you increase the intensity of a field.
You are now confusing amplitude and frequency. Light (visible band) has a fairly narrow range of frequencies, right? you can't emit light without starting in the light band. Note, you would never assume that you could emit light simply by squeezing a marshmallow.
Try this: a light dimmer. It increases/decreases voltage across the filament thereby exciting more/fewer photons into emission. Does it shift color when you dial it up or down? No. For the same reason you can not start with an out-of-band signal, amplify it, and launch it into a new band. (except for intermodulation or some systemic flaw or operational issue).
So - I say again: fields don't compress. The apparent movement of a field (like slewing a cathode ray through a old timey picture tube) is done by SUPERPOSITION (addition) of the various forces impressed at each point in space inside the tube by sets of coils (mag field) and plates (e-field) which were laboriously designed to get the little dot to land precisely where you have a glimmer in your eye or whatever.
Capiche? compression sounds to me like spatial compression. Like around the sun, lensing, that sort of thing.
What is the underlying theme? Violation of conservation of energy? Sounds like it.