Please forgive my ignorance, but if you are 'sending' photons they should be visible, as even single photons can be seen in a dark room. Yet swinging a magnet does not produce light. "Huge numbers" of photons should make quite a bit of light. Why the disparity?
Ummm, well it depends upon what you're using to detect those photons. The human eye has a lower limit on what it can detect, so it is conceivable that you could be firing these single photons (or small groups of them) at one's eye and sense nothing at all. Which is precisely why more sensitive equipment in the lab (such as CCDS, etc) are required for these experiments.
But yes, you are correct in saying that the larger the number of photons, the brighter the light.
And actually, swinging a magnet or lump of electric charge back and forth *will* produce light - it's just invisible light. Likely the kind of light you'd generate in this manner is going to be radio waves, since I'm rather certain that you wouldn't be able to vibrate a magnet back & forth at a frequency of about 10^14 Hertz, roughly the frequency of visible light.
The only difference in the generation of visible vs. non-visible light is simply the rate at which the magnetic & electric fields oscillate to and fro. Do it slowly and you'll get radio waves, go faster and you'll get microwaves, faster still and you've got infrared, then visible light (ROYGBIV), go faster still and you leave the visible range and go into UV, even faster and you have X-rays, etc.
Cheers - Mattus