Simultaneous control of intensity, phase, and polarization in real time under a weak oscillation theory.

Manipulating polarization, phase, and amplitude simultaneously in real time is an ultimate pursuit of controlling light. Several types of controllable metasurfaces have been realized, but with either low transmission efficiencies or limited control over amplitude, polarization, and phase in real time. Here we present a weak oscillation theory dealing with a new, to the best of our knowledge, type of optical system consisting of many layers of artificial oscillators, with each layer weakly interacting with the external field. As an application of our theory, we demonstrate and simulate a graphene-based metasurface structure to show that the oscillator system could change the focal length by changing the bias voltages. The polarization state to focus can also be selected by the bias voltage. The weak oscillation theory provides a flexible method to control the intensity, phase, and polarization.