“…The variation in the morphing capability of a deformable mirror also occurs with the strain actuation with surface curvature, due to a slight modification in magnitudes and directions of piezoelectric forces, i.e., resulting in a change of in Equation ( 6 ). Note that the curvature can be made artificially as conic surfaces in the telescope optics, the techniques of moulding a thin-shell layer of a prescribed curvature are in development for the electronics industry [ 42 , 43 ]. At the same time, the surface curvature can be also uncontrollably generated due to manufacturing or release of residual stress, leading to a random initial shape, this is one of sources of deviated shape .…”