Ask HN: What were some key scientific breakthroughs between JWST and Hubble?

I keep wondering what made it possible for JWST to see what Hubble couldn't see.

I can think of things to do with the image processing of the light that can now be captured. However, was it really to do with computational techniques?

Or, was it the optics, i.e. some 'analogue' means that made it possible?

I was hoping someone on here knew about it or could point me someplace.

Thanks.