Nonlinear Cavity and Frequency Comb Radiations Induced by Negative Frequency Field Effects

Area of Science:

• Optics and Photonics
• Nonlinear Optics
• Quantum Optics

Background:

• Optical Kerr frequency combs (KFCs) are vital for metrology, spectroscopy, and timekeeping.
• High-quality factor resonators are key for generating compact KFCs.
• Existing theoretical models, like the Lugiato-Lefever equation, omit the negative frequency (NF) component of optical fields.

Purpose of the Study:

• To investigate the role of the negative frequency (NF) component in nonlinear optical emissions within high-quality factor resonators.
• To extend the Lugiato-Lefever equation to incorporate NF components.
• To analytically and numerically validate the enhanced theoretical model.

Main Methods:

• Theoretical modeling by extending the Lugiato-Lefever equation to include negative frequency components.
• Analytical solutions derived from the extended model.
• Full numerical simulations to validate theoretical predictions.

Main Results:

• The inclusion of the negative frequency component enhances nonlinear optical emissions in KFCs.
• The extended Lugiato-Lefever equation accurately predicts these enhanced emissions.
• Analytical results show excellent agreement with numerical simulations.

Conclusions:

• The negative frequency component plays a crucial role in nonlinear emissions within optical Kerr frequency combs.
• The developed theoretical framework provides accurate predictions for KFC behavior.
• These findings have implications for Bose-Einstein condensates, mode-locked lasers, nonlinear plasmonics, and polaritonics.