Deformable mirrors are optical devices that can change their shape in order to correct aberrations in optical systems. These mirrors are often used in adaptive optics systems, which are used to improve the performance of optical systems by compensating for distortions caused by turbulence in the Earth's atmosphere or imperfections in the optical components. Deformable mirrors typically consist of a thin reflective surface that is mounted on a flexible backing material. By applying controlled forces to the backing material, the shape of the mirror can be changed to correct for aberrations in the optical system. Deformable mirrors are used in a wide range of applications, including astronomy, laser beam shaping, and microscopy. Research in the area of deformable mirrors focuses on improving the performance and capabilities of these devices, as well as developing new applications for them. This research may involve developing new materials and designs for deformable mirrors, optimizing control algorithms for shaping the mirror surface, and exploring new ways to use deformable mirrors in optical systems. Overall, the goal of research in this area is to advance the field of adaptive optics and enable new capabilities in optical systems.