We present a programmable universal Si3N4 optical filter that can be reconfigured to various filter functions. The basic compositive structure is the Mach-Zehnder interferometer (MZI) with each arm coupled with a ring resonator. The input and output couplers in the MZI and the ring couplers are all tunable with coupling ratio varying from zero to one, making the device highly flexible. We theoretically investigate six configurations using the transfer function, revealing that the device can produce versatile filtering shape. Experimental demonstration of three configurations agree with the theoretical prediction. With a careful control of the ring coupling ratio, the filter can successfully generate sub-GHz passband that allows for high spectral-resolution microwave signal processing.
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