An augmented reality system including a source and a contact lens display can be used to project information from the contact lens display onto the retina of the wearer's eye. The source provides energy to the contact lens display and operates at a source frequency. The source includes a source circuit including a conductive coil. The contact lens display includes a resonant circuit including another conductive coil and a capacitive circuit. The resonant circuit receives energy from the conductive coil of the source via a magnetic field inductively coupling the conductive coils. The contact lens display additionally includes a feedback circuit to adjust the capacitance of the capacitive circuit to control a resonant frequency of the resonant circuit. The feedback circuit can control the capacitive circuit to maintain the resonant frequency of the resonant circuit near the source frequency as the wearer's eye blinks.