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)
Left: Schematic of parallel-coupled dual racetrack resonators. Ein and Eout are the input and output fields of the central waveguide.
Right: Simulated intensity variations as the refractive index (Δn) of the waveguides in the top and bottom racetracks are modulated.
Invention Summary:
A parallel-coupled dual racetrack micro-resonator structure has been designed for phase-shift keying and M-ary quadrature amplitude modulation (QAM).
This structure comprises two racetrack resonators that are symmetrically side-coupled in parallel to a through waveguide in the center. The carriers can be injected or removed from the racetrack resonators using a pin diode or metal-oxide-semiconductor capacitor embedded in a silicon waveguide. The plasma dispersion effect of the injected carriers causes a change of refractive index in each resonator, modifying the cross-coupled resonances of the two racetrack resonators. The amplitude and phase of output optical signal can be controlled by the applied voltage to generate arbitrary M-ary quadrature signals.
Market Applications:
- Optical communications
- Phase-shift keying
- Quadrature amplitude modulation
Advantages:
- Higher spectral efficiency
- Better tolerance to fiber non-linearity and chromatic dispersion
- Low power consumption
- Compact size, low cost
- Suitable for arbitrary quadrature amplitude modulation
- Resilient against fabrication imperfections
Intellectual Property & Development Status:
Issued Patent. Available for licensing and/or research collaboration.