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Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

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Injection locking and pulling phenomena in an optoelectronic oscillator.

Zhiqiang Fan, Jun Su, Yue Lin

|March 27, 2021

Summary

This study analyzes injection locking in optoelectronic oscillators (OEOs). Performance depends on frequency difference, voltage ratio, and OEO Q factor, impacting phase noise.

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Area of Science:

Optoelectronics
Microwave Engineering
Signal Processing

Background:

Optoelectronic oscillators (OEOs) are crucial for high-frequency signal generation.
Understanding injection locking is key to controlling OEO behavior and performance.
Long-loop OEOs with numerous modes present unique challenges for analysis.

Purpose of the Study:

To theoretically analyze and experimentally evaluate injection locking and pulling characteristics of a long-loop OEO.
To derive a differential phase equation for time-domain analysis.
To investigate the impact of various parameters on locking, pulling, and phase noise performance.

Main Methods:

Derivation of a time-domain differential phase equation.
Theoretical analysis of locking and pulling phenomena.
Experimental validation of the derived model and analysis.
Phase noise performance analysis under injection locking.

Main Results:

Locking and pulling performance are dependent on initial frequency difference, voltage ratio, and OEO Q factor.
Phase noise is influenced by locking range and the phase noise of both the OEO and the injected signal.
Excellent agreement was observed between theoretical predictions and experimental results.

Conclusions:

The derived differential phase equation accurately describes injection locking in long-loop OEOs.
Key parameters influencing OEO performance under injection locking have been identified.
The study provides a validated framework for understanding and optimizing injection-locked OEOs.