Quartic dissipative solitons in optical Kerr cavities

Area of Science:

• Nonlinear optics
• Quantum optics
• Optical frequency combs

Background:

• Solitons are self-reinforcing wave packets crucial in nonlinear sciences, particularly in optical fibers and microresonators.
• Dissipative Kerr solitons (DKS) in optical microresonators, driven by continuous wave (CW) light, are central to optical frequency comb research.
• Traditional DKS have a sech-shaped envelope, arising from cubic nonlinearity and quadratic group velocity dispersion (GVD).

Purpose of the Study:

• To investigate the formation and properties of solitons in Kerr resonators with quartic GVD.
• To analytically and numerically characterize a novel pure quartic soliton (PQS) with a Gaussian envelope.
• To compare the performance of PQS with DKS for optical frequency comb applications.

Main Methods:

• Utilized the Lagrangian variational method for analytical derivation of soliton properties.
• Derived analytical expressions for pulse parameters and an area theorem for PQS.
• Validated analytical predictions through extensive numerical simulations.

Main Results:

• Demonstrated the formation of pure quartic solitons (PQS) with Gaussian envelopes in Kerr resonators featuring quartic GVD.
• Derived analytical formulas for PQS parameters and an area theorem, applicable to various resonator types.
• Showcased that PQS exhibit broader bandwidth and flatter spectral envelopes compared to DKS of similar pulse width and peak power.

Conclusions:

• Pure quartic solitons represent a significant advancement over dissipative Kerr solitons for specific applications.
• The PQS's superior spectral characteristics make it ideal for applications demanding minimal line-to-line power variation in frequency combs.
• The findings are broadly applicable to fiber-based, spatial, and microresonator Kerr systems.