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Walk-Off-Induced Modulation Instability, Temporal Pattern Formation, and Frequency Comb Generation in Cavity-Enhanced

F Leo1, T Hansson2,3, I Ricciardi4

  • 1The Dodd-Walls Centre for Photonic and Quantum Technologies, Department of Physics, The University of Auckland, Auckland 1142, New Zealand.

Physical Review Letters
|February 6, 2016
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Summary
This summary is machine-generated.

We discovered new nonlinear dynamics in cavity-enhanced second-harmonic generation. Temporal walk-off causes unique optical frequency combs and dissipative structures, enabling predictive modeling.

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Area of Science:

  • Nonlinear optics
  • Quantum optics
  • Photonics

Background:

  • Singly resonant cavity-enhanced second-harmonic generation (CR-SHG) systems are crucial for frequency conversion.
  • Understanding the full temporal and spectral dynamics in these systems is essential for advanced applications.
  • Existing models often simplify or neglect the impact of temporal walk-off.

Purpose of the Study:

  • To develop a comprehensive time-domain model for CR-SHG systems.
  • To investigate the role of temporal walk-off in nonlinear dynamics.
  • To identify and characterize novel phenomena, including optical frequency comb formation.

Main Methods:

  • Derivation of a time-domain mean-field equation.
  • Linear stability analysis.
  • Numerical simulations of light propagation and interaction within the cavity.

Main Results:

  • Identified temporal walk-off as a critical factor influencing nonlinear behavior.
  • Discovered a new quadratic modulation instability.
  • Observed the formation of optical frequency combs and time-domain dissipative structures.
  • Numerical results show excellent agreement with experimental data.

Conclusions:

  • The derived model accurately captures complex temporal and spectral dynamics in CR-SHG.
  • Temporal walk-off leads to a new, experimentally accessible regime of nonlinear dynamics.
  • This work provides a predictive framework for frequency comb generation in nonlinear resonators.
  • Findings are applicable to a broad range of dispersive, quadratically nonlinear systems.