| Title: |
Observation of the Eckhaus Instability in Whispering-Gallery Mode Resonators |
| Authors: |
Gomila, Damià; Parra-Rivas, Pedro; Colet, Pere; Coillet, Aurélien; Lin, Guoping; Daugey, Thomas; Diallo, Souleymane; Merolla, Jean-Marc; Chembo, Yanne |
| Contributors: |
Institute for Cross-Disciplinary Physics and Complex Systems Mallorca (IFISC); Consejo Superior de Investigaciones Cientificas España = Spanish National Research Council Spain (CSIC)-Universitat de les Illes Balears = Universidad de las Islas Baleares = University of the Balearic Islands (UIB); Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies (UMR 6174) (FEMTO-ST); Université de Technologie de Belfort-Montbeliard (UTBM)-Ecole Nationale Supérieure de Mécanique et des Microtechniques (ENSMM)-Centre National de la Recherche Scientifique (CNRS)-Université de Franche-Comté (UFC); Université Bourgogne Franche-Comté COMUE (UBFC)-Université Bourgogne Franche-Comté COMUE (UBFC) |
| Source: |
https://hal.science/hal-03013930 ; 2020. |
| Publisher Information: |
CCSD |
| Publication Year: |
2020 |
| Collection: |
Université de Franche-Comté (UFC): HAL |
| Subject Terms: |
[NLIN.NLIN-PS]Nonlinear Sciences [physics]/Pattern Formation and Solitons [nlin.PS]; [PHYS.COND]Physics [physics]/Condensed Matter [cond-mat]; [PHYS.PHYS.PHYS-OPTICS]Physics [physics]/Physics [physics]/Optics [physics.optics] |
| Description: |
The Eckhaus instability is a secondary instability of nonlinear spatiotemporal patterns in which high-wavenumber periodic solutions become unstable against small-wavenumber perturbations. We show in this letter that this instability can take place in Kerr combs generated with ultra-high Q whispering-gallery mode resonators. In our experiment, sub-critical Turing patterns (rolls) undergo Eckhaus instabilities upon changes in the laser detuning leading to cracking patterns with long-lived transients. In the spectral domain, this results in a metastable Kerr comb dynamics with a timescale that can be larger than one minute. This ultra-slow timescale is at least seven orders of magnitude larger than the intracavity photon lifetime, and is in sharp contrast with all the transient behaviors reported so far in cavity nonlinear optics, that are typically only few photon lifetimes long (i. e., in the ps to µs range). We show that this phenomenology is well explained by the Lugiato-Lefever model, as the result of an Eckhaus instability. Our theoretical analysis is found to be in excellent agreement with the experimental measurements. PACS numbers: Kerr optical frequency combs are obtained through pumping a high-Q whispering-gallery mode (WGM) cavity with a resonant laser [1]. In the last decade, the experimental and theoretical study of these combs has permitted major advances in photonics (see review articles [2-5]). From the applications standpoint, Kerr combs have been developed for time-frequency metrology, ultra-stable microwave generation, spectroscopy, and optical communications, just to name a few. From the fundamental perspective, Kerr combs have provided an ideal platform to investigate light-matter interactions in confined media. It has been shown that a wide variety of dissipative structures could be excited in the WGM res-onators, being either stationary (azimuthal roll patterns, cavity solitons, platicons) or non-stationary (breather solitons, spatiotemporal chaos, rogue waves). The primary bifurcations ... |
| Document Type: |
report |
| Language: |
English |
| Relation: |
info:eu-repo/semantics/altIdentifier/arxiv/2002.01833; ARXIV: 2002.01833 |
| Availability: |
https://hal.science/hal-03013930; https://hal.science/hal-03013930v1/document; https://hal.science/hal-03013930v1/file/2002.01833%281%29.pdf |
| Rights: |
info:eu-repo/semantics/OpenAccess |
| Accession Number: |
edsbas.2BBF4F5F |
| Database: |
BASE |