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If the amount of damping in a system is gradually increased, the period and frequency start to become affected because damping opposes, and hence slows, the back and forth motion (the net force is smaller in both directions). If there is a very large amount of damping, the system does not even oscillate; instead, it slowly moves toward equilibrium. In brief, an overdamped system moves slowly towards equilibrium, whereas an underdamped system moves quickly to equilibrium but will oscillate about...
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Limit-cycle dynamics with reduced sensitivity to perturbations.

Thomas B Simpson1, Jia-Ming Liu2, Mohammad AlMulla2

  • 1L-3 Applied Technologies, Inc., 10770 Wateridge Circle, San Diego, California, USA.

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Summary
This summary is machine-generated.

Researchers found specific operating points in optically injected semiconductor lasers where oscillation frequency is insensitive to temperature and bias current fluctuations. This discovery enables the development of ultrastable nonlinear oscillators for applications like photonic microwave generation.

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Area of Science:

  • Nonlinear dynamics
  • Optoelectronics
  • Laser physics

Background:

  • Limit-cycle oscillators model periodic nonlinear phenomena.
  • Semiconductor lasers are crucial optoelectronic devices.
  • Controlling oscillation frequency stability is vital for applications.

Purpose of the Study:

  • To identify operating points in optically injected semiconductor lasers where oscillation frequency is insensitive to multiple perturbations.
  • To demonstrate the potential for developing ultrastable nonlinear oscillators.

Main Methods:

  • Utilizing an optically injected semiconductor laser as a model system.
  • Investigating period-one oscillation frequency under various perturbation sources.
  • Comparing experimental measurements with numerical modeling.

Main Results:

  • Identified specific operating points where oscillation frequency is simultaneously insensitive to temperature fluctuations (master and slave lasers) and slave laser bias current.
  • Demonstrated that frequency tuning depends solely on injected optical field amplitude at these points.
  • Achieved detailed quantitative agreement between experimental data and numerical simulations.

Conclusions:

  • Special operating points in optically injected semiconductor lasers offer robustness against common noise sources.
  • These findings are valuable for creating ultrastable nonlinear oscillators.
  • Potential applications include narrow-linewidth, frequency-tunable photonic microwave oscillators.