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Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
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Bounded phase phenomena in the optically injected laser.

B Kelleher1, D Goulding, B Baselga Pascual

  • 1Centre for Applied Photonics and Process Analysis, Cork Institute of Technology, Cork, Ireland.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 12, 2012
PubMed
Summary
This summary is machine-generated.

This study reveals two phase-locking routes in optically injected lasers, demonstrating bounded but unlocked slave laser phases using experimental phasors. These findings are crucial for understanding laser dynamics and developing stable laser systems.

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Area of Science:

  • Nonlinear dynamics
  • Laser physics
  • Optical engineering

Background:

  • Optically injected lasers exhibit complex dynamics, including phase-locking phenomena.
  • Understanding phase-locking mechanisms is crucial for laser system stability and applications.
  • Previous studies have explored phase-locking, but the role of bounded, unlocked phases requires further elucidation.

Purpose of the Study:

  • To investigate two distinct routes to phase-locking in optically injected laser systems.
  • To experimentally demonstrate and theoretically analyze limit cycles with bounded but unlocked slave laser phases.
  • To explore the influence of damping on phase-locking behavior and associated resonances.

Main Methods:

  • Utilizing an experimental phase-resolving technique to capture slave laser electric field phasors.
  • Applying theoretical analysis to understand phase-locking mechanisms, particularly those involving Hopf bifurcations.
  • Obtaining phasor portraits for various operational regimes, including chaotic behavior.

Main Results:

  • Explicit experimental phasors confirmed limit cycles with bounded, unlocked slave laser phases.
  • Theoretical analysis indicated that such bounded phase limit cycles are generic for Hopf bifurcation locking mechanisms.
  • For weakly damped lasers (e.g., quantum well lasers), an excited resonance at the relaxation oscillation frequency was observed.
  • For highly damped lasers, the bounded phase behavior persisted without this specific excitation.

Conclusions:

  • The study provides unambiguous experimental and theoretical evidence for phase-locking routes involving bounded, unlocked phases in optically injected lasers.
  • The findings highlight the generic nature of these limit cycles in systems with Hopf bifurcations.
  • The results offer insights into the distinct dynamics of weakly and highly damped laser systems, contributing to the broader understanding of laser dynamics and control.