Deformable mirrors have been considered deficient for loworder- mode corrections such as tilt jitter. New materials and advanced computational procedures have made it possible to design a mirror to satisfy both stroke and bandwidth requirements for different aberration orders. Optimization techniques are applied to the systematic design of a multilayered deformable mirror composed of a bimorph polyvinylidene fluoride (PVDF) piezoelectric material. The deflection-bandwidth product is chosen as the figure of merit and maximized through the optimization process. Equations for the generated moment, stroke, frequency, and stress in a multilayered plate are identified. The limits on system performance are considered and treated as the design constraints. The design variables are chosen to be the geometrical dimensions of each layer and the applied electric field to the piezoelectric material. Discussion is presented on design, mathematical modeling, computer implementation, and application to a test model. The specifications are provided for a mirror with low-order wavefront correction capability. The successful procedure and results establish a basis for a general approach for the design of deformable mirrors of any shape.