A taxonomy of optical dissipative structures in whispering-gallery mode resonators with Kerr nonlinearity

被引：6

作者：

Balakireva, Irina V. ^{[1
]}

Chembo, Yanne K. ^{[1
,2
]}

机构：

[1] Univ Bourgogne Franche Comte, FEMTO ST Inst, CNRS, Opt Dept, 15B Ave Montboucons, F-25030 Besancon, France

[2] GeorgiaTech CNRS Joint Int Lab, UMI 2958, Atlanta Mirror Site, Sch Elect & Comp Engn, 777 Atlantic Dr Northwest, Atlanta, GA 30332 USA

来源：

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2018年 / 376卷 / 2124期

关键词：

whispering-gallery mode resonators; Kerr combs; dissipative optical patterns; nonlinear optics; LUGIATO-LEFEVER EQUATION; PHASE NOISE PERFORMANCE; FREQUENCY COMBS; SPATIOTEMPORAL CHAOS; BIFURCATION-ANALYSIS; MICRORESONATORS; DISPERSION; SYSTEMS;

D O I：

10.1098/rsta.2017.0381

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, the research related to the formation of optical dissipative structures in Kerr-nonlinear whispering-gallery mode resonators pumped with continuous-wave lasers is reviewed. Pattern formation in these systems can be analysed using the paradigmatic Lugiato-Lefever model, which is a partial differential equation ruling the dynamics of the intra-cavity laser field. Various dissipative structures such as Turing rolls, solitons, breathers and spatio-temporal chaos can emerge in the resonator depending on the laser power and frequency. The bifurcation analysis enables a classification of these patterns, and also permits identification of their basins of attraction. This article is part of the theme issue 'Dissipative structures in matter out of equilibrium: from chemistry, photonics and biology (part 1)'.

引用

页数：10

共 42 条

[1] Observation of Fermi-Pasta-Ulam Recurrence Induced by Breather Solitons in an Optical Microresonator [J].

Bao, Chengying ;

Jaramillo-Villegas, Jose A. ;

Xuan, Yi ;

Leaird, Daniel E. ;

Qi, Minghao ;

Weiner, Andrew M. .

PHYSICAL REVIEW LETTERS, 2016, 117 (16)

[2] Theory and applications of the Lugiato-Lefever Equation [J].

Chembo, Yanne K. ;

Gomila, Damia ;

Tlidi, Mustapha ;

Menyuk, Curtis R. .

EUROPEAN PHYSICAL JOURNAL D, 2017, 71 (11)

[3] Kerr optical frequency combs: theory, applications and perspectives [J].

Chembo, Yanne K. .

NANOPHOTONICS, 2016, 5 (02) :214-230

[4] Spatiotemporal dynamics of Kerr-Raman optical frequency combs [J].

Chembo, Yanne K. ;

Grudinin, Ivan S. ;

Yu, Nan .

PHYSICAL REVIEW A, 2015, 92 (04)

[5] Spatiotemporal Lugiato-Lefever formalism for Kerr-comb generation in whispering-gallery-mode resonators [J].

Chembo, Yanne K. ;

Menyuk, Curtis R. .

PHYSICAL REVIEW A, 2013, 87 (05)

[6] Modeling of octave-spanning Kerr frequency combs using a generalized mean-field Lugiato-Lefever model [J].

Coen, Stephane ;

Randle, Hamish G. ;

Sylvestre, Thibaut ;

Erkintalo, Miro .

OPTICS LETTERS, 2013, 38 (01) :37-39

[7]

Coillet A., 2013, JOVE-J VIS EXP, V78, P50423, DOI DOI 10.3791/50423)

[8] Optical frequency comb generation from a monolithic microresonator [J].

Del'Haye, P. ;

Schliesser, A. ;

Arcizet, O. ;

Wilken, T. ;

Holzwarth, R. ;

Kippenberg, T. J. .

NATURE, 2007, 450 (7173) :1214-1217

[9] Brillouin Lasing in Ultra-High-Q Lithium Fluoride Disk Resonators [J].

Diallo, Souleymane ;

Lin, Guoping ;

Martinenghi, Romain ;

Furfaro, Luca ;

Jacquot, Maxime ;

Chembo, Yanne K. .

IEEE PHOTONICS TECHNOLOGY LETTERS, 2016, 28 (09) :955-958

[10] Localized structures and spatiotemporal chaos: comparison between the driven damped sine-Gordon and the Lugiato-Lefever model [J].

Ferre, Michel A. ;

Clerc, Marcel G. ;

Coulibally, Saliya ;

Rojas, Rene G. ;

Tlidi, Mustapha .

EUROPEAN PHYSICAL JOURNAL D, 2017, 71 (06)

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