A deformable mirror is a special type of mirror that can change its shape or surface to correct distortions or imperfections in the light that hits it. Let's say you want to look at a star through a telescope. Sometimes, the light waves from the star can get bent or distorted as they travel through the atmosphere. This makes the star look blurry or fuzzy, and it can be hard to see any details or features.
But by using a deformable mirror, you can adjust the shape of the mirror to "undo" those distortions and make the star appear clearer. It's kind of like bending a piece of paper to make a straight line, or using a funhouse mirror to distort your reflection -- except that the deformable mirror makes incredibly precise adjustments to the shape of the mirror surface, and it does it very quickly thousands of times per second.
There are many different ways to make a deformable mirror, but most of them use tiny actuators or motors to push and pull on a thin layer of reflective material, like a small mirror or a sheet of metal. By changing the shape of this layer, the mirror can adjust the way it reflects light, and correct for any distortions or imperfections.
Deformable mirrors are used in many different fields, from astronomy and microscopy to laser manufacturing and telecommunications. They can help scientists and engineers see things that would be impossible to see otherwise, by sharpening images and reducing blurring. And even though they might seem complicated, they're actually just a clever way to make sure the light goes where we want it to go.