Compact all-optical differential-equation solver based on silicon microring resonator

doi:10.1007/s12200-012-0186-9

Front Optoelec

2012, Vol. 5

Issue (1) : 99-106 https://doi.org/10.1007/s12200-012-0186-9

RESEARCH ARTICLE

Compact all-optical differential-equation solver based on silicon microring resonator

Liyang LU, Jiayang WU, Tao WANG, Yikai SU(

)

State Key Laboratory of Advanced Optical Communication Systems and Networks, Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai 200240, China

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Abstract

We propose and numerically demonstrate an ultrafast real-time ordinary differential equation (ODE) computing unit in optical field based on a silicon microring resonator, operating in the critical coupling region as an optical temporal differentiator. As basic building blocks of a signal processing system, a subtractor and a splitter are included in the proposed structure. This scheme is featured with high speed, compact size and integration on a silicon-on-insulator (SOI) wafer. The size of this computing unit is only 35 μm × 45 μm. In this paper, the performance of the proposed structure is theoretically studied and analyzed by numerical simulations.

Keywords ordinary differential equation (ODE) silicon microring resonator analog signal processing (ASP) silicon-on-insulator (SOI)

Corresponding Author(s): SU Yikai,Email:yikaisu@sjtu.edu.cn

Issue Date: 05 March 2012

Cite this article:

Jiayang WU,Tao WANG,Yikai SU, et al. Compact all-optical differential-equation solver based on silicon microring resonator[J]. Front Optoelec, 2012, 5(1): 99-106.

URL:

https://academic.hep.com.cn/foe/EN/10.1007/s12200-012-0186-9
https://academic.hep.com.cn/foe/EN/Y2012/V5/I1/99

Fig.1 (a) Block diagram of ODE solving unit; (b) complete structure of optical ODE solver

Fig.2 (a) 3 dB directional coupler; (b) distribution of electric field intensity with an input signal at port 1

Fig.3 (a) Loop and 3 dB directional coupler together to realize the subtractor; (b) equivalent block diagram

Fig.4 (a) 3 dB bend-waveguide-type splitter; (b) loop with the splitter and an output port; (c) equivalent block diagram

Fig.5 Microring resonator coupled to straight waveguide

Fig.6 Cross section of silicon waveguide based on SOI structure. Colored surface graph represents average power flow in waveguide and quivers represent electronic field

Fig.7 Top view of silicon waveguide in 2D FDTD

Fig.8 Output optical intensity waveforms and optical intensity signals coupled in ring under a step input signal at optical frequency (a) ; (b) ; (c) output optical signal of loop without differentiator under a step input signal

Fig.9 Structure of the simulated ODE computing unit

Fig.10 Simulated output waveforms of optical ODE solver and theoretical solutions of ODE with inputs of (a) triangle wave; (b) saw-tooth wave; (c) mirror image of saw-tooth wave; (d) pulses with shape of parabolic curve

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