Abstract: A method and apparatus for correcting error modes of a deformable mirror, including selecting or targeting one or more target error modes of a deformable mirror; and designing a pattern and/or shape of one or more electrodes, wherein the pattern and/or shape of the electrodes are designed to optimally correct the target error modes when the electrodes are disposed on the deformable mirror via an active material. Also disclosed is a deformable structure, including a composite shell including a plurality of plies each including carbon fibers embedded in a resin; a nanolaminate comprising individual nanolayers attached to a first side of the composite shell; an actuation structure attached to a second side of the composite shell; and a flexible electrode routing layer attached to the actuation structure.

Abstract: The sensitivity model of a complex optical system obtained by linear ray tracing is used to compute a control gain matrix by imposing the mathematical condition for minimizing the total wavefront error at the optical system's exit pupil. The most recent deformations or error states of the controlled segments or optical surfaces of the system are then assembled as an error vector, and the error vector is transformed by the control gain matrix to produce the exact control variables which will minimize the total wavefront error at the exit pupil of the optical system. These exact control variables are then applied to the actuators controlling the various optical surfaces in the system, causing the immediate reduction in total wavefront error observed at the exit pupil of the optical system.