Theoretical analysis for active coupled resonator optical waveguide arrays and applications

Slow light has been extensively studied in coupled arrays of passive optical resonators, and several applications have been demonstrated. We developed a theoretical framework for the design and analysis of arrays consisting of active resonators, in particular vertical cavity surface emitting lasers (VCESLs), which have potential applications as a flexible photonic platform. Building upon this framework, several such applications were analyzed for both one- and two-dimensional coupled VCSEL arrays. In particular, the use of two-dimensional VCSEL arrays holds great potential for several interesting applications such as tunable optical waveguides or optical splitters.