A system including a light source configured to illuminate light onto an image modulation element; a projection optical system including at least a first lens system and a second lens system configured to project the image modulated by the modulation element; and circuitry configured to shift a position of the first lens system in a direction perpendicular to an optical axis of the projection optical system based on an optical zoom factor, wherein a position of the image modulation element is unchanged when the circuitry shifts the position of the first lens system.