We design a type of broadband Silicon Nitride (SiN) power splitters with various split ratios using shortcuts to adiabaticity (STA) technique to ensure the compactness and performance of the device. The decoupled system states are employed in the double-waveguides system to guarantee the approximate adiabatic evolution and the desired split ratios are implemented by manipulating the boundary conditions. The devices show broadband response for a wide wavelength range from 1260 to 1360 nm and have excellent robustness against fabrication errors in our simulations.
Spectral analysis is one of the most widely used analytical tools in scientific research and industry. Computational spectrometers can offer high performance within an ultra-compact footprint and have drawn numerous research interests. Previously demonstrated computational spectrometers typically consist of separate power-splitting components and spectral sampling components, which limit further reduction of the footprint. Here we prose a structure called random medium that combines the power-splitting function and spectral sampling function in the same component, which effectively reduces the footprint of the spectrometer and improve its performance at the same time. The simulations show 200 nm operation bandwidth, with 0.5 nm resolution, and a footprint of 0.006 mm2 .
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