Abstract
This paper presents systematic design and analysis of a dual-purpose integrated processor based on graphene hybrid plasmonic concentric add-drop microring resonators for fast differentiation and integration. The footprint of this processor is equal to 4 × 4.358 μm2, containing two concentric rings with small radii of 1679 and 1204 nm. Performance of the designed dual-purpose processor for the first and fractional-orders differentiation and integration has been analyzed by the three-dimensional finite-difference time-domain method in the frequency and time domains and the accuracy of the results has been confirmed using the formulas of the ideal math differentiator and integrator. From the point of view of the performance specifications, the designed dual-purpose temporal processor has excellent 3 dB bandwidth, insertion loss, energy efficiency, and accuracy in the first and fractional-orders differentiation and integration.
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