Abstract: A modulator comprises one or more resonators. Each resonator has a light confining closed loop structure, such as a ring structure, and two, three or more electrodes associated with the light-confining structure, and may be a micro-resonator. An optical signal is modulated by a digital signal using the resonator. The procedure comprises obtaining the digital signal, mapping the signal using a mapping function to produce a transformed digital signal, the transformed digital signal being selected to produce, say linear, output from the resonator, inputting the transformed digital signal via electrodes onto the resonator; and modulating the optical signal via coupling from the resonator. Suitable mapping produces 16 QAM and other modulation schemes.