Second attempt at simulating waves--with obstacles

I fear I com across as overly didactic. I swear, I can change!
...though honestly, I doubt I'll ever be able to channel the sheer chaos of Evan Kale or Michael Reeves. Or any other v-tuber.

Here are some different waves of simulating how waves travel. I realize that the behavior of the wavefront at 2:53 and 6:53 is incorrect; I fixed it before generating the final output.
These methods actually fill every pixel.

0:00 Beginning
1:34 The issue with raycasting
3:48 Ray back-calculation (Newtons Method .gif)
5:40 Output 1 and the 2nd Method
7:53 Mildly borked graphics