We propose and experimentally demonstrate a feasible integrated scheme to solve all-optical differential equations using microring resonators (MRRs) that is capable of solving first- and second-order linear ordinary differential equations with different constant coefficients. Employing two cascaded MRRs with different radii, an excellent agreement between the numerical simulation and the experimental results is obtained. Due to the inherent merits of silicon-based devices for all-optical computing, such as low power consumption, small size, and high speed, this finding may motivate the development of integrated optical signal processors and further extend optical computing technologies.
© 2013 Optical Society of America
Original Manuscript: June 28, 2013
Revised Manuscript: August 20, 2013
Manuscript Accepted: August 21, 2013
Published: September 17, 2013
Sisi Tan, Lei Xiang, Jinghui Zou, Qiang Zhang, Zhao Wu, Yu Yu, Jianji Dong, and Xinliang Zhang, "High-order all-optical differential equation solver based on microring resonators," Opt. Lett. 38, 3735-3738 (2013)
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