An eye-mountable device is provided that includes a battery or other local power source and that can wirelessly power one or more intraocular devices using power from the battery. The eye-mountable device could be provided as a contact lens. The eye-mountable device could provide power to an intraocular device by emitting radio frequency energy, time-varying electrical fields through the conductive medium of the eye, or optical energy. The intraocular device could include an electronic lens configured to provide a controllable optical power to the eye. The intraocular device could include sensors configured to detect accommodation forces exerted by muscles of the eye such detected forces could be used to control an electronic lens of the intraocular device or an electronic lens of the eye-mountable device. The battery could be rechargeable and the eye-mountable device could include instrumentation for receiving power to recharge the battery.