Nonimaging optics is a fancy way of saying that we can design special shapes for things like mirrors and lenses that help them do a better job of bending or redirecting light. Instead of focusing light like a magnifying glass or telescope, nonimaging optics help spread the light out or make it go in a certain direction.
Think of it like playing with a water hose. If you hold your thumb over the end, you can make the water squirt out really fast and concentrated. That's like a regular lens focusing light. But if you put your thumb just over part of the end and let the water spray out more broadly, that's more like nonimaging optics.
Scientists and engineers use nonimaging optics in all sorts of ways. They might use it to design super-efficient solar panels that can take in light from all different angles. Or they might use it in streetlights to make the light shine more evenly instead of just straight down.
Overall, nonimaging optics is all about finding clever ways to make light go where we want it to go, without worrying so much about making it brighter or clearer.