Abstract

Systems of ordinary differential equations (SODEs) are crucial for describing the dynamic behaviors in various systems such as modern control systems which require observability and controllability. In this Letter, we propose and experimentally demonstrate an all-optical SODE solver based on the silicon-on-insulator platform. We use an add/drop microring resonator to construct two different ordinary differential equations (ODEs) and then introduce two external feedback waveguides to realize the coupling between these ODEs, thus forming the SODE solver. A temporal coupled mode theory is used to deduce the expression of the SODE. A system experiment is carried out for further demonstration. For the input 10 GHz NRZ-like pulses, the measured output waveforms of the SODE solver agree well with the calculated results.

© 2017 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
High-order all-optical differential equation solver based on microring resonators

Sisi Tan, Lei Xiang, Jinghui Zou, Qiang Zhang, Zhao Wu, Yu Yu, Jianji Dong, and Xinliang Zhang
Opt. Lett. 38(19) 3735-3738 (2013)

Compact tunable silicon photonic differential-equation solver for general linear time-invariant systems

Jiayang Wu, Pan Cao, Xiaofeng Hu, Xinhong Jiang, Ting Pan, Yuxing Yang, Ciyuan Qiu, Christine Tremblay, and Yikai Su
Opt. Express 22(21) 26254-26264 (2014)

All-optical 1st- and 2nd-order differential equation solvers with large tuning ranges using Fabry-Pérot semiconductor optical amplifiers

Kaisheng Chen, Jie Hou, Zhuyang Huang, Tong Cao, Jihua Zhang, Yuan Yu, and Xinliang Zhang
Opt. Express 23(3) 3784-3794 (2015)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (6)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (11)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription