A Discretely Controlled Micromirror Array Lens (DCMAL) consists of many Discretely Controlled Micromirrors (DCMs) and actuating components. The actuating components control the positions of DCMs electrostatically. The optical efficiency of the DCMAL is increased by locating a mechanical structure upholding DCMs and the actuating components under DCMs to increase an effective reflective area. The known microelectronics technologies can remove the loss in effective reflective area due to electrode pads and wires. The lens can correct aberrations by controlling DCMs independently. Independent control of each DCM is possible by known microelectronics technologies. The DCM array can also form a lens with arbitrary shape and/or size, or a lens array comprising the lenses with arbitrary shape and/or size.