Reversible Self-Replication of Spatio-Temporal Kerr Cavity Patterns
arXiv:2101.05729 · doi:10.1103/PhysRevLett.126.063903
Abstract
We uncover a novel and robust phenomenon that causes the gradual self-replication of spatiotemporal Kerr cavity patterns in cylindrical microresonators. These patterns are inherently synchronised multi-frequency combs. Under proper conditions, the axially-localized nature of the patterns leads to a fundamental drift instability that induces transitions amongst patterns with a different number of rows. Self-replications, thus, result in the stepwise addition or removal of individual combs along the cylinder's axis. Transitions occur in a fully reversible and, consequently, deterministic way. The phenomenon puts forward a novel paradigm for Kerr frequency comb formation and reveals important insights into the physics of multi-dimensional nonlinear patterns.
13 pages, 9 figures, to appear in Physical Review Letters
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- Robust three-dimensional high-order solitons and breathers in driven dissipative systems: a Kerr cavity realization
- Dynamics of temporal Kerr cavity solitons in the presence of rapid parameter inhomogeneities: from bichromatic driving to third-order dispersion
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