“…Compared to out-of-plane configuration, in-plane configuration offers advantages such as on-chip integrability with light sources and detectors that can lead to better scalability, and larger optical path-to-cell volume ratio which will guarantee more compact sensors while maintaining high sensitivity [ 31 , 32 , 33 ]. Besides many demonstrations of different types of sensors relying on in-plane configuration, such as spiral waveguide sensors [ 34 , 35 , 36 ], ring/disk resonator sensors [ 37 , 38 ], slot waveguide sensors [ 39 , 40 , 41 ], and plasmonics based sensors [ 42 , 43 ], directional coupler (DC) as a key component for light routing and power splitting has also been explored as a nanophotonics sensor [ 44 , 45 ]. However, on the one hand, the operation bandwidth of these DC sensors is limited due to dispersion; on the other hand, a large footprint is required for the sensors to interact with the analyte in order to produce significant phase difference.…”