An accommodating contact lens comprises a variable focus optical module, which comprises an optical chamber and one or more eyelid engaging chambers coupled to the optical chamber with one or more extensions comprising channels extending between the optical chamber and the more eyelid engaging chambers. The module may comprise a self-supporting module capable of supporting itself prior to placement in a contact lens to facilitate placement prior to encapsulation in the contact lens. The module may comprise one or more optically transmissive materials, provides improved optical correction, and can be combined with soft contact lens materials such as hydrogels. In many embodiments, the module comprises a support structure extending between an upper membrane and a lower membrane in order to provide variable optical power accurately with decreased amounts distortion and improved responsiveness to eyelid induced pressure.