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Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Subharmonic locking and frequency combs in frequency-swept semiconductor lasers.

A Stroganov1, A V Kovalev1, E A Viktorov1

  • 1ITMO University, Birzhevaya Liniya 14, Saint Petersburg 199034, Russia.

Physical Review. E
|April 19, 2023
PubMed
Summary
This summary is machine-generated.

This study analyzes a semiconductor laser model, revealing periodic solutions that create optical frequency combs. Numerical investigations uncover complex dynamics including hysteresis loops and limit cycles, crucial for understanding subharmonic behavior.

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Area of Science:

  • Nonlinear Dynamics
  • Laser Physics
  • Optical Engineering

Background:

  • Semiconductor lasers are vital for optical technologies.
  • Understanding their dynamic behavior, especially under external modulation like sweeping, is crucial.
  • Optical frequency combs generated by lasers have numerous applications.

Purpose of the Study:

  • To analyze a delay differential equation model for a swept semiconductor laser.
  • To demonstrate the existence of periodic solutions subharmonically locked to the sweep rate.
  • To investigate the formation of optical frequency combs and complex dynamical behaviors.

Main Methods:

  • Analysis of a delay differential equation model.
  • Numerical simulations to explore system dynamics.
  • Investigation of steady states, periodic solutions, hysteresis loops, and limit cycles.

Main Results:

  • Demonstrated existence of periodic solutions subharmonically locked to the sweep rate.
  • Identified optical frequency combs in the spectral domain arising from these solutions.
  • Revealed a hysteresis loop formed by steady states and periodic solutions due to translational symmetry.
  • Observed isolated branches of limit cycles and discussed their role in subharmonic dynamics.

Conclusions:

  • The study provides insights into the complex dynamics of swept semiconductor lasers.
  • The identified periodic solutions and associated phenomena are key to generating optical frequency combs.
  • Bifurcation points and embedded limit cycles play a significant role in the observed subharmonic dynamics.