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Noise-induced linewidth in frequency combs.

Mark J Ablowitz1, Boaz Ilan, Steven T Cundiff

  • 1Department of Applied Mathematics, Unversity of Colorado, Boulder, 80309-0526, USA.

Optics Letters
|May 27, 2006
PubMed
Summary
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Noise-induced random walk in mode-locked laser pulses broadens frequency comb lines. A new relation shows linewidth scales with pulse number and output power, unifying laser dynamics.

Area of Science:

  • Optics and Photonics
  • Laser Physics
  • Nonlinear Dynamics

Background:

  • Mode-locked lasers generate frequency combs via pulse trains.
  • Pulse timing and phase noise can lead to broadened comb lines.
  • Understanding noise effects is crucial for precise frequency comb generation.

Purpose of the Study:

  • To analyze the impact of noise-induced random walk on frequency comb linewidth.
  • To establish a quantitative relationship between pulse jitter and comb line broadening.
  • To unify different laser dynamics (linear dispersionless, soliton) under a single framework.

Main Methods:

  • Asymptotic analysis of pulse center time and phase jitter.
  • Computational modeling of noise-induced random walk.

Related Experiment Videos

  • Derivation of scaling laws for frequency comb linewidth.

    • Main Results:

    • A time-frequency duality relation is established: comb linewidth scales as k(2/p) with line number k, where p is the jitter exponent.
    • Linear-dispersionless (p=1) and pure-soliton (p=3) laser dynamics are shown as special cases.
    • Phase jitter-induced linewidth inversely scales with output power (P(out))(-1/p).

    Conclusions:

    • The derived scaling laws provide a unified approach to understanding frequency comb broadening in mode-locked lasers.
    • The findings offer insights into controlling and optimizing frequency comb properties by managing pulse jitter and output power.
    • This work bridges the gap between fundamental laser dynamics and practical frequency comb applications.