Homodyne Detection of Free Carrier Induced Electro-Optic Modulation in Strained Silicon Resonators

In the last few years, strained silicon has been proposed as a potential electro-optic material, paving the way to the realization of ultrafast modulators which are compatible with the CMOS fabrication technology. The linear Pockels effect has been used for measuring the magnitude of the induced (2) components, with values reaching hundreds of pm/V. Recently, it has been shown that these values could have been overestimated due to the contribution of free carriers to the electro-optic modulation. In this work, this hypothesis is validated by a series of experimental observations, which are performed on strained silicon racetrack resonators. These are fabricated with different waveguide widths and orientations. We use a low frequency (KHz) homodyne detection technique to monitor the electro-optic response of the devices. The results indicate that the modulation strength is not dependent on the waveguide geometry or direction. A lot of anomalies are encountered in the device response, which are not compatible with a modulation mechanism of (2) origin. To this purporse, a theory based on the nonlinear injection of free carriers inside the waveguide is presented. This is able to account for all the observed anomalies.

[1]  E.L. Wooten,et al.  A review of lithium niobate modulators for fiber-optic communications systems , 2000, IEEE Journal of Selected Topics in Quantum Electronics.

[2]  Michael Nagel,et al.  Pockels effect based fully integrated, strained silicon electro-optic modulator. , 2011, Optics express.

[3]  Lorenzo Pavesi,et al.  Optical interconnects : the silicon approach , 2006 .

[4]  S Wabnitz,et al.  Second-harmonic generation in silicon waveguides strained by silicon nitride. , 2012, Nature materials.

[5]  L. Pavesi,et al.  Optical Interconnects: The Silicon Approach (Springer Series in Optical Sciences) (Springer Series in Optical Sciences) , 2006 .

[6]  C. C. Wang,et al.  Nonlinear optics. , 1966, Applied optics.

[7]  Y. Fainman,et al.  Effect of dielectric claddings on the electro-optic behavior of silicon waveguides. , 2016, Optics letters.

[8]  L. Vivien,et al.  Wavelength dependence of Pockels effect in strained silicon waveguides. , 2014, Optics express.

[9]  J. Witzens,et al.  High-frequency electro-optic measurement of strained silicon racetrack resonators. , 2015, Optics letters.

[10]  Mher Ghulinyan,et al.  Second‐Order Optical Nonlinearity in Silicon Waveguides: Inhomogeneous Stress and Interfaces , 2015 .

[11]  B. Jalali,et al.  Silicon photonics , 2006, IEEE Microwave Magazine.

[12]  S. Sze,et al.  Physics of Semiconductor Devices: Sze/Physics , 2006 .

[13]  Claudio Castellan,et al.  Reflectance Reduction in a Whiskered SOI Star Coupler , 2016, IEEE Photonics Technology Letters.

[14]  Optical loss by surface transfer doping in silicon waveguides , 2015, 1504.07613.

[15]  O. Hansen,et al.  Strained silicon as a new electro-optic material , 2006, Nature.

[16]  W. Marsden I and J , 2012 .

[17]  B. Culshaw,et al.  Fundamentals of Photonics , 2012 .

[18]  Yurii A. Vlasov,et al.  Engineering nonlinearities in nanoscale optical systems: physics and applications in dispersion-engineered silicon nanophotonic wires , 2009 .

[19]  Heinrich Kurz,et al.  Investigation of local strain distribution and linear electro-optic effect in strained silicon waveguides. , 2013, Optics express.

[20]  Irena Knezevic,et al.  Electronic transport in nanometre-scale silicon-on-insulator membranes , 2006, Nature.

[21]  Massimo Cazzanelli,et al.  Second order optical nonlinearity in silicon by symmetry breaking , 2016 .

[22]  B. Jalali,et al.  Silicon Photonics , 2006, Journal of Lightwave Technology.

[23]  P. Dumon,et al.  Silicon microring resonators , 2012 .

[24]  K. Ng,et al.  The Physics of Semiconductor Devices , 2019, Springer Proceedings in Physics.

[25]  J. Ristein Surface Transfer Doping of Semiconductors , 2006, Science.

[26]  Calvin D. Salzberg,et al.  Infrared Refractive Indexes of Silicon Germanium and Modified Selenium Glass , 1957 .

[27]  Delphine Marris-Morini,et al.  Bond orbital description of the strain-induced second-order optical susceptibility in silicon , 2015, 1511.03041.

[28]  Yeshaiahu Fainman,et al.  Tensor of the second-order nonlinear susceptibility in asymmetrically strained silicon waveguides: analysis and experimental validation. , 2014, Optics letters.

[29]  P. Pintus,et al.  Modeling of strain-induced Pockels effect in Silicon. , 2015, Optics express.

[30]  R. Soref,et al.  Electrooptical effects in silicon , 1987 .

[31]  A. Knights,et al.  Silicon Photonics: An Introduction , 2004 .

[32]  J. Witzens,et al.  On the measurement of the Pockels effect in strained silicon. , 2015, Optics letters.