Nonlinear frequency response of the multi-resonant ring cavities

[1]  K. Ikeda Multiple-valued stationary state and its instability of the transmitted light by a ring cavity system , 1979 .

[2]  F. Arecchi,et al.  A new class of optical multistabilities and instabilities induced by atomic coherence , 1983 .

[3]  H. Gibbs Optical Bistability Controlling Light With Light , 1985 .

[4]  R. Lefever,et al.  Spatial dissipative structures in passive optical systems. , 1987, Physical review letters.

[5]  V. I. Arnolʹd Bifurcation theory and catastrophe theory , 1994 .

[6]  L. Maleki,et al.  Optoelectronic microwave oscillator , 1996 .

[7]  I. V. Barashenkov,et al.  Existence and stability chart for the ac-driven, damped nonlinear Schrödinger solitons. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[8]  A. Yariv Universal relations for coupling of optical power between microresonators and dielectric waveguides , 2000 .

[9]  A. Yariv Critical coupling and its control in optical waveguide-ring resonator systems , 2002, IEEE Photonics Technology Letters.

[10]  J. Hopwood,et al.  Low-power microwave plasma source based on a microstrip split-ring resonator , 2003 .

[11]  David D. Smith,et al.  Whispering-gallery mode splitting in coupled microresonators , 2003 .

[12]  A. Matsko,et al.  Low threshold optical oscillations in a whispering gallery mode CaF(2) resonator. , 2004, Physical review letters.

[13]  S. Blair,et al.  Nonlinearity enhancement in finite coupled-resonator slow-light waveguides. , 2004, Optics express.

[14]  Y. Dumeige,et al.  Dispersive tristability in microring resonators. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[15]  A. Matsko,et al.  Optical hyperparametric oscillations in a whispering-gallery-mode resonator: Threshold and phase diffusion , 2005 .

[16]  Nonstationary nonlinear effects in optical microspheres , 2005 .

[17]  N. Yu,et al.  Modal expansion approach to optical-frequency-comb generation with monolithic whispering-gallery-mode resonators , 2010 .

[18]  Mingzhong Wu Nonlinear Spin Waves in Magnetic Film Feedback Rings , 2010 .

[19]  M. Gorodetsky,et al.  Octave spanning tunable frequency comb from a microresonator. , 2011, Physical review letters.

[20]  A. Nikitin,et al.  Theoretical investigation of the resonance properties of an active ring made of a ferrite-ferroelectric layered structure , 2012 .

[21]  P. Dumon,et al.  Silicon microring resonators , 2012 .

[22]  C. Menyuk,et al.  Spatiotemporal Lugiato-Lefever formalism for Kerr-comb generation in whispering-gallery-mode resonators , 2012, 1210.8210.

[23]  T. Hansson,et al.  Dynamics of the modulational instability in microresonator frequency combs , 2013, 2013 Conference on Lasers & Electro-Optics Europe & International Quantum Electronics Conference CLEO EUROPE/IQEC.

[24]  Anna Sterkhova,et al.  Simulation of Self-Pulsing in Kerr-Nonlinear Coupled Ring Resonators , 2013, 1308.3981.

[25]  T. Sylvestre,et al.  Modeling of octave-spanning Kerr frequency combs using a generalized mean-field Lugiato-Lefever model. , 2012, Optics letters.

[26]  C. Bruder,et al.  Equivalence between an optomechanical system and a Kerr medium , 2013, 1306.0415.

[27]  M. Gorodetsky,et al.  Temporal solitons in optical microresonators , 2012, Nature Photonics.

[28]  A. Nikitin,et al.  Magnetically Tunable Microwave Spin-Wave Photonic Oscillator , 2015, IEEE Magnetics Letters.

[29]  T. Hansson,et al.  Frequency comb generation beyond the Lugiato–Lefever equation: multi-stability and super cavity solitons , 2015, 1503.03274.

[30]  B. Kalinikos,et al.  Theory of a tunable spin-wave optoelectronic microwave oscillator , 2015 .

[31]  S. Diddams,et al.  Soliton crystals in Kerr resonators , 2016, 1610.00080.

[32]  Jianping Yao,et al.  Integrated microwave photonics , 2012, 1211.4114.

[33]  M. Gorodetsky,et al.  Soliton dual frequency combs in crystalline microresonators. , 2016, Optics letters.

[34]  Y. Kartashov,et al.  Multistability and coexisting soliton combs in ring resonators: the Lugiato-Lefever approach. , 2017, Optics express.

[35]  S. Coen,et al.  Coexistence of multiple nonlinear states in a tristable passive kerr resonator , 2017, 1702.00782.

[36]  R. Morandotti,et al.  Micro-combs: A novel generation of optical sources , 2017 .

[37]  Multi-resonant Lugiato-Lefever model. , 2017, Optics letters.

[38]  Y. Chembo,et al.  Nonlinear photonics with high-Q whispering-gallery-mode resonators , 2017 .

[39]  A. Nikitin,et al.  Microwave Bistability in Active Ring Resonators With Dual Spin-Wave and Optical Nonlinearities , 2018, IEEE Magnetics Letters.

[40]  M. Gorodetsky,et al.  Dissipative Kerr solitons in optical microresonators , 2015, Science.

[41]  Cavity solitons in a microring dimer with gain and loss. , 2018, Optics letters.

[42]  Bingkun Zhou,et al.  Super-efficient temporal solitons in mutually coupled optical cavities , 2018, Nature Photonics.

[43]  Tere M. Seara,et al.  Phase-locked states in oscillating neural networks and their role in neural communication , 2019, Commun. Nonlinear Sci. Numer. Simul..