Modified model for four-wave mixing-based wavelength conversion in silicon micro-ring resonators

LI Zhiqiang; GAO Shiming

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Modified model for four-wave mixing-based wavelength conversion in silicon micro-ring resonators

LI Zhiqiang,GAO Shiming * #

Centre for Optical and Electromagnetic Research, State Key Laboratory of Modern Optical Instrumentation, Zhejiang University

*Correspondence author

#Submitted by

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Funding: Specialized Research Fund for the Doctoral Program of Higher Education of China （No.No. 20070335118）

Opened online:14 February 2011

Accepted by: none

Citation: LI Zhiqiang,GAO Shiming.Modified model for four-wave mixing-based wavelength conversion in silicon micro-ring resonators[OL]. [14 February 2011] http://en.paper.edu.cn/en_releasepaper/content/4407155

In this paper, A modified model for wavelength conversion based on four-wave mixing (FWM) in a silicon micro-ring resonator is presented. The nonlinear phase shifts caused by self-phase modulation and cross-phase modulation are also taken into account in the present theoretical analysis besides the linear propagation loss, the nonlinear losses caused by two-photon absorption and free-carrier absorption. Analysis shows that the nonlinear phase shifts will cause different red shifts for the pump and signal (or converted) resonant wavelengths, and consequently an additional wavelength difference between the signal transmission dip and the efficiency peak, which will increase/decrease the conversion efficiency of the signal channel far from/near the pump. The conversion efficiency and the conversion peak width of each signal channel are both affected by the micro-ring radius and coupling coefficient. A broader conversion peak width can be obtained by using a micro-ring resonator with a smaller Q factor.

Keywords:Four-wave mixing;wavelength conversion;silicon waveguides;micro-ring resonator

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