On-chip micro-ring resonator array spectrum detection system based on convex optimization algorithm

Abstract We propose an all on-chip micro-ring resonator array spectrum detection system (MRRAS). Micro-ring as the core is used to construct transmission matrix of system. The theoretical analysis completed with waveguide theory and construction method based on convex optimization algorithm. In experiment, we obtain priori information system, then detect output intensity unknown through MRRAS, under-determined equations when number micro-rings much smaller than that reconstructed wavelengths. Convex algorithm employed least norm solution equations, which enables fast reconstruction. experimental results show constructed using three resonators 4 μm radius, enabling compact footprint. addition, silicon nitride photonic platform fully compatible standard complementary metal oxide semiconductor (CMOS) processes. operating bandwidth more 12 nm resolution better 0.17 nm.