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Optical differentiation and optical Hilbert transformation play importantroles in communications, computing, information processing and signal analysisin optical domain which offering huge bandwidth. Meanwhile, silicon-basedphotonic integrated circuits are preferable in all-optical signal processingdue to their intrinsic advantages of low power consumption, compact footprintand ultra-high speed. In this study, we analyze the interrelation betweenfirst-order optical differentiation and optical Hilbert transformation and thenexperimentally demonstrate a feasible integrated scheme which cansimultaneously function as first-order optical differentiation and opticalHilbert transformation based on a single microdisk resonator. This finding maymotivate the development of integrated optical signal processors.

Experimental observation of optical differentiation and optical Hilbert transformation using a single SOI microdisk chip