Shockwave
Expanding rings that shove the layer aside as they pass
Rings expanding outward, shoving the layer aside as they pass and spending their force as they grow. The picture compresses ahead of each crest and pulls apart behind it, which is what makes it read as a wave rather than a glowing ring. Turn pointer tracking on and it starts wherever the cursor is.
Rendering cost: medium. A few dozen samples per pixel: comfortable fullscreen on a discrete GPU, but cap the pixel ratio for a retina hero. How to tune it
Take Shockwave with you.
Shockwave is free. Sign in and it is yours — the background itself, with your settings already saved in, ready to drop into your site. The account is only somewhere to put the files. No card now, and no card later.
The other 61 come with a licence, $9.99 once.
$0forever
Your preset is in the URL. It survives the trip.