▎ 摘　　要

A silicon disk resonator overlaid with a uniform graphene layer in an add-drop configuration is proposed as an all-optical routing element. Operation is based on the saturable absorption effect provided by the graphene layer. The element is thoroughly analyzed as a two-channel device in the context of an appropriate nonlinear framework combining perturbation theory and temporal coupled-mode theory. Taking into consideration the primary nonlinear effect, which is graphene saturable absorption, a design path is carefully developed that eventually leads to a traveling-wave resonant element with low-power requirements, low insertion loss, high extinction ratio, and sufficient bandwidth. In a subsequent step, other important nonlinear effects originating from graphene and the silicon disk, including the Kerr effect and free-carrier effects, are considered and means for counterbalancing their action are demonstrated. A low control power of 9 mml:mspace width=".1em"mml:mspace mW together with a bandwidth of 20 mml:mspace width=".1em"mml:mspace GHz is shown possible, with the insertion loss of almost 3 mml:mspace width=".1em"mml:mspace dB and an extinction ratio over 10 mml:mspace width=".1em"mml:mspace dB in both ports (add and drop).