Catadioptric lens for near eye display

A first lens, comprising:

• an optically transparent member having a first surface and a second surface, the optically transparent member being configured to receive light from a display device via the first surface, the received light exiting the optically transparent member through the second surface, wherein
• the first surface and the second surface of the optically transparent member are aspheric,
• a thickness of a central region of the first lens decreases from a center of the first lens,
• a thickness of a peripheral region of the first lens increases from a boundary of the central region,
• a curve formed by an interception of the first surface of the first lens and a cross-sectional plane has at least four inflection points, the cross-sectional plane being parallel to an optical axis of the first lens, and
• a plane that is perpendicular to the optical axis of the first lens intercepts the second surface of the first lens four times.