Nonlinear dynamics of optical frequency combs

We discuss recent advances in the modelling of optical frequency comb generation in quadratic and cubic microresonators. Different time domain models are presented and compared, and their solutions are analysed by numerical methods.

[1]  Dmitry V. Skryabin,et al.  Optical solitons due to quadratic nonlinearities: from basic physics to futuristic applications , 2002 .

[2]  S Wabnitz,et al.  Suppression of interactions in a phase-locked soliton optical memory. , 1993, Optics letters.

[3]  Costantino De Angelis,et al.  Nonlinear envelope equation for broadband optical pulses in quadratic media , 2010, 1001.1874.

[4]  Pasquale Maddaloni,et al.  Direct generation of optical frequency combs in χ(2) nonlinear cavities , 2015, 1510.08074.

[5]  T. Kippenberg,et al.  Optical frequency comb generation from a monolithic microresonator , 2007, Nature.

[6]  S. Wabnitz,et al.  Single envelope equation modeling of multi-octave comb arrays in microresonators with quadratic and cubic nonlinearities , 2016, 1602.08087.

[7]  Michal Lipson,et al.  Silicon-chip mid-infrared frequency comb generation , 2014, Nature Communications.

[8]  D. Modotto,et al.  Second and third order susceptibilities mixing for supercontinuum generation and shaping , 2012 .

[9]  M. Gorodetsky,et al.  Universal formation dynamics and noise of Kerr-frequency combs in microresonators , 2012, Nature Photonics.

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

[11]  C. Conti,et al.  Highly noninstantaneous solitons in liquid-core photonic crystal fibers. , 2010, Physical review letters.

[12]  Michal Lipson,et al.  Octave-spanning frequency comb generation in a silicon nitride chip. , 2011, Optics letters.

[13]  T. Hansson,et al.  Singly resonant second-harmonic-generation frequency combs , 2017 .

[14]  Hermann A. Haus,et al.  Raman response function of silica-core fibers , 1989, Annual Meeting Optical Society of America.

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

[16]  G Genty,et al.  Nonlinear envelope equation modeling of sub-cycle dynamics and harmonic generation in nonlinear waveguides. , 2007, Optics express.

[17]  T. Hansson,et al.  Mid-infrared soliton and Raman frequency comb generation in silicon microrings. , 2014, Optics Letters.

[18]  M. Lipson,et al.  Octave-spanning mid-infrared supercontinuum generation in silicon nanowaveguides. , 2014, Optics letters.

[19]  Daniele Modotto,et al.  Dynamics of the modulational instability in microresonator frequency combs , 2013 .

[20]  G. Agrawal,et al.  Impact of two-photon absorption on self-phase modulation in silicon waveguides. , 2007, Optics letters.

[21]  F Baronio,et al.  Ultrabroadband Optical Phenomena in Quadratic Nonlinear Media , 2010, IEEE Photonics Journal.

[22]  Marc Haelterman,et al.  Dissipative modulation instability in a nonlinear dispersive ring cavity , 1992 .

[23]  Alexander L. Gaeta,et al.  Effects of multiphoton absorption on parametric comb generation in silicon microresonators , 2014, 2014 Conference on Lasers and Electro-Optics (CLEO) - Laser Science to Photonic Applications.

[24]  G. Agrawal,et al.  Nonlinear optical phenomena in silicon waveguides: modeling and applications. , 2007, Optics express.

[25]  T. Hansson,et al.  Walk-Off-Induced Modulation Instability, Temporal Pattern Formation, and Frequency Comb Generation in Cavity-Enhanced Second-Harmonic Generation. , 2015, Physical review letters.

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

[27]  Ting Wang,et al.  Multi-photon absorption and third-order nonlinearity in silicon at mid-infrared wavelengths. , 2013, Optics express.

[28]  S. Wabnitz,et al.  Frequency comb formation in doubly resonant second-harmonic generation , 2016, 1602.03517.

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

[30]  S. Wabnitz,et al.  Harmonic and supercontinuum generation in quadratic and cubic nonlinear optical media , 2010 .

[31]  Pasquale Maddaloni,et al.  Frequency comb generation in quadratic nonlinear media , 2014, CLEO 2015.

[32]  Marc Haelterman,et al.  Modulational instability induced by cavity boundary conditions in a normally dispersive optical fiber , 1997 .

[33]  Michal Lipson,et al.  Ultrashort free-carrier lifetime in low-loss silicon nanowaveguides. , 2010, Optics express.

[34]  S. Coen,et al.  Temporal cavity solitons in one-dimensional Kerr media as bits in an all-optical buffer , 2010 .

[35]  Yoshitomo Okawachi,et al.  Route to stabilized ultrabroadband microresonator-based frequency combs. , 2013, Optics letters.

[36]  S. Wabnitz,et al.  On the numerical simulation of Kerr frequency combs using coupled mode equations , 2013, 1307.3428.

[37]  T. Kippenberg,et al.  Microresonator based optical frequency combs , 2012, 2012 Conference on Lasers and Electro-Optics (CLEO).