Related Experiment Video
Updated: Mar 30, 2026

09:46
Fabrication and Characterization of High-Q Silicon Nitride Membrane Resonators
Published on: August 8, 2025
1.4K
High-frequency electro-optic measurement of strained silicon racetrack resonators
Optics Letters
|November 14, 2015
Summary
High-frequency measurements reveal plasma carrier dispersion, not induced nonlinearity, drives the electro-optic effect in strained silicon waveguides. This finding sets a new, lower upper limit for the effective nonlinear optical coefficient.
Area of Science:
- Optoelectronics
- Materials Science
- Nonlinear Optics
Background:
- Strained silicon waveguides exhibit electro-optic effects attributed to induced nonlinear susceptibility (χ(2)).
- Understanding the mechanisms behind these effects is crucial for high-speed optical modulation.
Purpose of the Study:
- To investigate the high-frequency electro-optic response of strained silicon racetrack resonators.
- To differentiate between induced nonlinear effects and plasma carrier dispersion in strained silicon.
Main Methods:
- High-frequency measurements were performed on strained silicon racetrack resonators with controlled mechanical strain.
- Optical modulation was analyzed as a function of applied voltage frequency and strain levels.
Main Results:
- Optical modulation vanished at high frequencies, irrespective of applied strain, indicating a mechanism faster than carrier lifetime.
- DC modulation showed minimal dependence on strain.
- Plasma carrier dispersion was identified as the dominant mechanism responsible for the observed electro-optic effect.
Conclusions:
- The electro-optic effect in strained silicon is primarily due to plasma carrier dispersion, not a static induced χ(2) nonlinearity.
- An upper limit for the high-speed effective nonlinear optical coefficient (χeff,zzz(2)) was determined to be (8±3) pm/V at -0.5 GPa stress.
- This upper limit is significantly lower than previously reported values from static measurements, impacting device design for high-speed applications.

