Compact tunable silicon photonic differential-equation solver for general linear time-invariant systems.
We propose and experimentally demonstrate an all-optical temporal differential-equation solver that can be used to solve ordinary differential equations (ODEs) characterizing general linear time-invariant (LTI) systems. The photonic device implemented by an add-drop microring resonator (MRR) with two tunable interferometric couplers is monolithically integrated on a silicon-on-insulator (SOI) wafer with a compact footprint of ~60 μm × 120 μm. By thermally tuning the phase shifts along the bus arms of the two interferometric couplers, the proposed device is capable of solving first-order ODEs with two variable coefficients. The operation principle is theoretically analyzed, and system testing of solving ODE with tunable coefficients is carried out for 10-Gb/s optical Gaussian-like pulses. The experimental results verify the effectiveness of the fabricated device as a tunable photonic ODE solver.
Jiayang
J
Wu
Pan
P
Cao
Xiaofeng
X
Hu
Xinhong
X
Jiang
Ting
T
Pan
Yuxing
Y
Yang
Ciyuan
C
Qiu
Christine
C
Tremblay
Yikai
Y
Su
D007368:Interferometry / Q000295:instrumentation*; D017785:Photons; D012815:Signal Processing, Computer-Assisted / Q000295:instrumentation*; D012825:Silicon; D013685:Telecommunications / Q000295:instrumentation*
D012825:Silicon