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We present the conceptual design and initial development of the HystereticDeformable Mirror (HDM). The HDM is a completely new approach to the design andoperation of deformable mirrors for wavefront correction in advanced imagingsystems. The key technology breakthrough is the application of highlyhysteretic piezoelectric material in combination with a simple electrode layoutto efficiently define single actuator pixels. The set-and-forget nature of theHDM, which is based on the large remnant deformation of the newly developedpiezo material, facilitates the use of time division multiplexing (TDM) toaddress the single pixels without the need for high update frequencies to avoidpixel drift. This, in combination with the simple electrode layout, paves theway for upscaling to extremely high pixel numbers ($\geq 128\times 128$) andpixel density ($100/mm^2$) deformable mirrors (DMs), which is of greatimportance for high spatial frequency wavefront correction in some of the mostadvanced imaging systems in the world.

High pixel number deformable mirror concept utilizing piezoelectric hysteresis for stable shape configurations