Ultralow-noise mode-locked fiber lasers and frequency combs: principles, status, and applications

We review the most recent progress in ultralow-noise mode-locked fiber lasers and fiber-based frequency-comb sources. With the rapid progress in theory, measurement, and control of noise in passively mode-locked fiber lasers, we have reached the point where the residual carrier–envelope-offset phase jitter (when stabilized) and pulse timing jitter performance of such laser sources can be fully optimized to the unprecedented levels of attoseconds regime. In this paper, first, major principles in building such low-noise passively mode-locked fiber lasers are reviewed. We then define noise in mode-locked fiber lasers and present the basic theoretical and numerical framework for analyzing the noise in mode-locked fiber lasers. More detailed discussions on theory, measurement methods, state-of-the-art performances, and stabilization methods of intensity noise, timing jitter, and comb-line frequency noise follow. Finally, we overview today’s most representative applications of such ultralow-noise mode-locked fiber lasers and frequency-comb sources. As an already powerful tool for various high-precision applications, ultralow-noise mode-locked fiber lasers will keep finding more exciting applications in optical science and photonic technology in the coming years.

[1]  Junho Shin,et al.  Characterization and analysis of timing jitter in normal-dispersion mode-locked Er-fiber lasers with intra-cavity filtering. , 2015, Optics express.

[2]  Thomas Udem,et al.  Cavity-enhanced dual-comb spectroscopy , 2009, 0908.1928.

[3]  R. Stolen,et al.  The soliton laser. , 1984, Optics letters.

[4]  Junho Shin,et al.  Reduction of timing jitter and intensity noise in normal-dispersion passively mode-locked fiber lasers by narrow band-pass filtering. , 2014, Optics express.

[5]  L. Hollberg,et al.  Femtosecond-laser-based synthesis of ultrastable microwave signals from optical frequency references. , 2005, Optics letters.

[6]  Sergei K Turitsyn,et al.  Dissipative dispersion-managed solitons in mode-locked lasers. , 2009, Optics letters.

[7]  Hermann A. Haus,et al.  Soliton versus nonsoliton operation of fiber ring lasers , 1994 .

[8]  Anton Husakou,et al.  Supercontinuum generation, four-wave mixing, and fission of higher-order solitons in photonic-crystal fibers , 2002 .

[9]  W H Knox,et al.  Vector soliton fission. , 2004, Physical review letters.

[10]  Young-Jin Kim,et al.  Frequency-comb-referenced multi-wavelength profilometry for largely stepped surfaces. , 2013, Optics express.

[11]  Hermann A. Haus,et al.  Noise of mode-locked lasers , 1993, Optical Society of America Annual Meeting.

[12]  Theodor W. Hänsch,et al.  Measuring the frequency of light with mode-locked lasers , 1999 .

[13]  Hong Lin,et al.  Optimizing polarization states in a figure-8 laser using a nonreciprocal phase shifter , 1994 .

[14]  Thomas C. Schratwieser,et al.  Highly efficient 1 GHz repetition-frequency femtosecond Yb3+:KY(WO4)2 laser. , 2012, Optics letters.

[15]  H. Haus.  Mode-locking of lasers , 2000, IEEE Journal of Selected Topics in Quantum Electronics.

[16]  Hirokazu Kubota,et al.  Analyses of coherence-maintained ultrashort optical pulse trains and supercontinuum generation in the presence of soliton–amplified spontaneous-emission interaction , 1999 .

[17]  A. Husakou,et al.  Supercontinuum generation of higher-order solitons by fission in photonic crystal fibers. , 2001, Physical review letters.

[18]  M. Fermann,et al.  Nonlinear amplifying loop mirror. , 1990, Optics letters.

[19]  J W Nicholson,et al.  Characterization of frequency noise on a broadband infrared frequency comb using optical heterodyne techniques. , 2007, Optics express.

[20]  Jun Ye,et al.  Mid-infrared Fourier transform spectroscopy with a broadband frequency comb. , 2010, Optics express.

[21]  Pierre Thomann,et al.  Frequency discriminators for the characterization of narrow-spectrum heterodyne beat signals: application to the measurement of a sub-hertz carrier-envelope-offset beat in an optical frequency comb. , 2011, The Review of scientific instruments.

[22]  Zhigang Zhang,et al.  37.4 fs pulse generation in an Er:fiber laser at a 225 MHz repetition rate. , 2010, Optics letters.

[23]  F. Kärtner,et al.  Semiconductor saturable absorber mirrors (SESAM's) for femtosecond to nanosecond pulse generation in solid-state lasers , 1996 .

[24]  M. H. Ober,et al.  Mode locking with cross-phase and self-phase modulation. , 1991, Optics letters.

[25]  P. Grelu,et al.  Dissipative solitons for mode-locked lasers , 2012, Nature Photonics.

[26]  A. Ludlow,et al.  An Atomic Clock with 10–18 Instability , 2013, Science.

[27]  F. Krausz,et al.  Intense few-cycle laser fields: Frontiers of nonlinear optics , 2000 .

[28]  I. Duling.  All-fiber ring soliton laser mode locked with a nonlinear mirror. , 1991, Optics letters.

[29]  James G. Fujimoto,et al.  Attosecond active synchronization of passively mode-locked lasers by balanced cross correlation. , 2003 .

[30]  I Hartl,et al.  Full phase stabilization of a Yb:fiber femtosecond frequency comb via high-bandwidth transducers. , 2012, Optics letters.

[31]  Tino Eidam,et al.  53 W average power few-cycle fiber laser system generating soft x rays up to the water window. , 2014, Optics letters.

[32]  Daniele Romanini,et al.  Modelocked cavity--enhanced absorption spectroscopy. , 2002 .

[33]  I Hartl,et al.  Integrated self-referenced frequency-comb laser based on a combination of fiber and waveguide technology. , 2005, Optics express.

[34]  Ming Yan,et al.  An octave-spanning mid-infrared frequency comb generated in a silicon nanophotonic wire waveguide , 2014, Nature Communications.

[35]  U. Keller,et al.  Control of solid state laser dynamics by semiconductor devices , 1995 .

[36]  H. Haus,et al.  Self-starting additive pulse mode-locked erbium fibre ring laser , 1992 .

[37]  L Gallmann,et al.  Semiconductor saturable-absorber mirror assisted Kerr-lens mode-locked Ti:sapphire laser producing pulses in the two-cycle regime. , 1999, Optics letters.

[38]  Andy Chong,et al.  Ultrafast fiber lasers based on self-similar pulse evolution: a review of current progress , 2015, Reports on progress in physics. Physical Society.

[39]  Antonio Manescau,et al.  A spectrograph for exoplanet observations calibrated at the centimetre-per-second level , 2012, Nature.

[40]  I Coddington,et al.  Invited Article: A compact optically coherent fiber frequency comb. , 2015, The Review of scientific instruments.

[41]  M. Kirchner,et al.  Ultralow phase noise microwave generation with an Er:fiber-based optical frequency divider. , 2011, Optics letters.

[42]  David A. B. Miller,et al.  Latency reduction in optical interconnects using short optical pulses , 2003 .

[43]  Franz X Kärtner,et al.  High repetition rate, low jitter, low intensity noise, fundamentally mode-locked 167 fs soliton Er-fiber laser. , 2007, Optics letters.

[44]  Zhongmin Yang,et al.  3 GHz, fundamentally mode-locked, femtosecond Yb-fiber laser. , 2012, Optics letters.

[45]  H. Haus,et al.  Noise of the stretched pulse fiber laser. I. Theory , 1997 .

[46]  Jun Ye,et al.  Precise frequency transfer through a fiber network by use of 1.5-microm mode-locked sources. , 2004, Optics letters.

[47]  J. Taylor,et al.  Noise Floor Reduction of an Er:Fiber Laser-Based Photonic Microwave Generator , 2011, IEEE Photonics Journal.

[48]  H. Haus.  Theory of mode locking with a slow saturable absorber , 1975 .

[49]  Fabian Rotermund,et al.  300-MHz-repetition-rate, all-fiber, femtosecond laser mode-locked by planar lightwave circuit-based saturable absorber. , 2015, Optics express.

[50]  Theodor W. Hänsch,et al.  Thermal-noise-limited crystalline whispering-gallery-mode resonator for laser stabilization , 2011 .

[51]  J. Rothhardt,et al.  Towards isolated attosecond pulses at megahertz repetition rates , 2013, Nature Photonics.

[52]  N. Coluccelli,et al.  Frequency-noise measurements of optical frequency combs by multiple fringe-side discriminator , 2015, Scientific Reports.

[53]  I. M. Jauncey,et al.  Low-noise erbium-doped fibre amplifier operating at 1.54μm , 1987 .

[54]  D. J. Richardson,et al.  Dissemination of an optical frequency comb over fiber with 3 × 10−18 fractional accuracy , 2012, Conference on Lasers and Electro-Optics.

[55]  Andrew Szentgyorgyi,et al.  A laser frequency comb that enables radial velocity measurements with a precision of 1 cm s-1 , 2008, Nature.

[56]  Ursula Keller,et al.  Soliton mode-locking with saturable absorbers , 1996 .

[57]  Günter Steinmeyer,et al.  On the role of shot noise in carrier‐envelope phase stabilization , 2014 .

[58]  H Matsumoto,et al.  Displacement metrology with sub-pm resolution in air based on a fs-comb wavelength synthesizer. , 2006, Optics express.

[59]  S. Kelly,et al.  Characteristic sideband instability of periodically amplified average soliton , 1992 .

[60]  M. Wilde,et al.  Optical Atomic Clocks , 2019, 2019 URSI Asia-Pacific Radio Science Conference (AP-RASC).

[61]  Jun Ye,et al.  Vacuum-ultraviolet frequency combs from below-threshold harmonics , 2009, 0901.3768.

[62]  Wei Zhang,et al.  An optical lattice clock with accuracy and stability at the 10−18 level , 2013, Nature.

[63]  Robert E. Scholten,et al.  Frequency noise characterisation of narrow linewidth diode lasers , 2002 .

[64]  Jun Ye,et al.  Mode-locked fiber laser frequency-controlled with an intracavity electro-optic modulator. , 2005, Optics letters.

[65]  M. W. Phillips,et al.  SELFSTARTING, PASSIVELY MODELOCKED ERBIUM FIBRE RING LASER BASED ON THE AMPLIFYING SAGNAC SWITCH , 1991 .

[66]  S. Kawanishi,et al.  Ultrahigh-speed optical time-division-multiplexed transmission technology based on optical signal processing , 1998 .

[67]  H Matsumoto,et al.  Frequency metrology with a turnkey all-fiber system. , 2004, Optics letters.

[68]  Galen B. King,et al.  Pump/Probe Spectroscopy by Asynchronous Optical Sampling , 1987 .

[69]  Junsu Lee,et al.  A femtosecond pulse erbium fiber laser incorporating a saturable absorber based on bulk-structured Bi2Te3 topological insulator. , 2014, Optics express.

[70]  Masud Mansuripur,et al.  Femtosecond laser pulse generation with a fiber taper embedded in carbon nanotube/polymer composite. , 2007, Optics letters.

[71]  N. Newbury,et al.  Response dynamics of the frequency comb output from a femtosecond fiber laser. , 2005, Optics express.

[72]  K. Cossel,et al.  Ultrabroadband coherent supercontinuum frequency comb , 2011, 1105.2093.

[73]  I. Duling.  Subpicosecond all-fibre erbium laser , 1991 .

[74]  Fabrizio Berizzi,et al.  A fully photonics-based coherent radar system , 2014, Nature.

[75]  J. Dudley,et al.  Supercontinuum generation in photonic crystal fiber , 2006 .

[76]  I. Coddington,et al.  Coherent dual-comb spectroscopy at high signal-to-noise ratio , 2010 .

[77]  Charles C. Harb,et al.  Feedback control of laser intensity noise , 1998 .

[78]  Jun Ye,et al.  Mid-Infrared Frequency Comb Fourier Transform Spectrometer , 2010, 1007.0716.

[79]  Yohei Kobayashi,et al.  Impact of dispersion on amplitude and frequency noise in a Yb-fiber laser comb. , 2011, Optics letters.

[80]  Franz X Kärtner,et al.  Compact, stable 1 GHz femtosecond Er-doped fiber lasers. , 2010, Applied optics.

[81]  Jun Ye,et al.  Simple piezoelectric-actuated mirror with 180 kHz servo bandwidth. , 2010, Optics express.

[82]  Zuxing Zhang,et al.  All-fiber-integrated soliton-similariton laser with in-line fiber filter. , 2012, Optics letters.

[83]  Shinji Yamashita,et al.  Carbon nanotube mode lockers with enhanced nonlinearity via evanescent field interaction in D-shaped fibers. , 2007, Optics letters.

[84]  James G. Fujimoto,et al.  Optical flywheels with attosecond jitter , 2012, Nature Photonics.

[85]  D. Linde.  Characterization of the noise in continuously operating mode-locked lasers , 1986 .

[86]  Esther Baumann,et al.  Optical two-way time and frequency transfer over free space , 2013 .

[87]  H. Haus.  Parameter ranges for CW passive mode locking , 1976 .

[88]  Matthew E. Grein,et al.  Measuring timing jitter with optical cross correlations , 2002 .

[89]  C R Menyuk,et al.  The quantum-limited comb lineshape of a mode-locked laser: fundamental limits on frequency uncertainty. , 2008, Optics express.

[90]  Andrew M. Weiner,et al.  Optical arbitrary waveform generation , 2010 .

[91]  W. Denk,et al.  Deep tissue two-photon microscopy , 2005, Nature Methods.

[92]  Alexander Klenner,et al.  Gigahertz frequency comb from a diode-pumped solid-state laser. , 2014, Optics express.

[93]  Knight,et al.  Optical frequency synthesizer for precision spectroscopy , 2000, Physical review letters.

[94]  T. Hänsch.  Nobel Lecture: Passion for precision* , 2006 .

[95]  Machida,et al.  Amplitude squeezing in a pump-noise-suppressed laser oscillator. , 1986, Physical review. A, General physics.

[96]  H. Haus.  Theory of mode locking with a fast saturable absorber , 1975 .

[97]  Markus Brehm,et al.  Frequency-comb infrared spectrometer for rapid, remote chemical sensing. , 2005, Optics express.

[98]  Peng Li,et al.  Characterization of the carrier envelope offset frequency from a 490 MHz Yb-fiber-ring laser. , 2012, Optics express.

[99]  Jun Ye,et al.  Phase-Coherent Optical Pulse Synthesis from Separate Femtosecond Lasers , 2001, Science.

[100]  Alfred Leitenstorfer,et al.  All-passive phase locking of a compact Er:fiber laser system. , 2011, Optics letters.

[101]  Jun Ye,et al.  Quantum-noise-limited optical frequency comb spectroscopy. , 2011, Physical review letters.

[102]  T. Hänsch,et al.  Optical frequency metrology , 2002, Nature.

[103]  R. Scott,et al.  High-dynamic-range laser amplitude and phase noise measurement techniques , 2001 .

[104]  Harald Schnatz,et al.  Providing $10^{-16}$ Short-Term Stability of a 1.5-$\mu\hbox{m}$ Laser to Optical Clocks , 2013, IEEE Transactions on Instrumentation and Measurement.

[105]  Bo Liu,et al.  Simultaneously precise frequency transfer and time synchronization using feed-forward compensation technique via 120 km fiber link , 2015, Scientific reports.

[106]  T. Hänsch,et al.  Adaptive real-time dual-comb spectroscopy , 2012, Nature Communications.

[107]  Ursula Keller,et al.  Mode-locking with slow and fast saturable absorbers-what's the difference? , 1998 .

[108]  Christian Chardonnet,et al.  Ultra-stable long distance optical frequency distribution using the Internet fiber network and application to high-precision molecular spectroscopy , 2012, Optics express.

[109]  U. Keller,et al.  Optical phase noise and carrier-envelope offset noise of mode-locked lasers , 2006 .

[110]  Frank W. Wise,et al.  Amplifier similaritons in a dispersion-mapped fiber laser [Invited] , 2011, Optics express.

[111]  Ingmar Hartl,et al.  Ultrafast fibre lasers , 2013, Nature Photonics.

[112]  Sergei K. Turitsyn,et al.  Amplifier similariton fibre laser with nonlinear spectral compression , 2012, 2012 38th European Conference and Exhibition on Optical Communications.

[113]  John L. Hall,et al.  Nobel Lecture: Defining and measuring optical frequencies , 2006 .

[114]  Harald Schnatz,et al.  Ultraprecise measurement of optical frequency ratios. , 2002, Physical review letters.

[115]  R. Windeler,et al.  Fundamental noise limitations to supercontinuum generation in microstructure fiber. , 2002, Physical review letters.

[116]  Jun Ye,et al.  Cavity-enhanced direct frequency comb spectroscopy: technology and applications. , 2010, Annual review of analytical chemistry.

[117]  N. Doran,et al.  Nonlinear-optical loop mirror. , 1988, Optics letters.

[118]  S. Namiki,et al.  Noise of the stretched pulse fiber laser. II. Experiments , 1997 .

[119]  P. Ho.  Phase and amplitude fluctuations in a mode-locked laser , 1985 .

[120]  Khanh Kieu,et al.  Sub-femtosecond timing jitter, all-fiber, CNT-mode-locked Er-laser at telecom wavelength. , 2013, Optics express.

[121]  Jun Ye,et al.  Mid-infrared virtually imaged phased array spectrometer for rapid and broadband trace gas detection. , 2012, Optics letters.

[122]  R Paschotta,et al.  Sub-100 attosecond timing jitter from low-noise passively mode-locked solid-state laser at telecom wavelength. , 2013, Optics letters.

[123]  George C Valley,et al.  Photonic analog-to-digital converters. , 2007, Optics express.

[124]  J. G. Fujimoto,et al.  Attosecond timing jitter pulse trains from semiconductor saturable absorber mode-locked Cr:LiSAF lasers , 2012, 2012 Conference on Lasers and Electro-Optics (CLEO).

[125]  Xiaoqin Li,et al.  Solid-state carrier-envelope-phase noise measurements with intrinsically balanced detection. , 2004, Optics express.

[126]  Eiji Yoshida,et al.  Coherence Degradation in the Process of Supercontinuum Generation in an Optical Fiber , 1998 .

[127]  Kwanil Lee,et al.  Active control of all-fibre graphene devices with electrical gating , 2015, Nature Communications.

[128]  C. Schmidt,et al.  Femtosecond all-optical synchronization of an X-ray free-electron laser , 2015, Nature Communications.

[129]  Kwangyun Jung,et al.  Subfemtosecond synchronization of microwave oscillators with mode-locked Er-fiber lasers. , 2012, Optics letters.

[130]  Wilson Sibbett,et al.  Fundamentally mode-locked, femtosecond waveguide oscillators with multi-gigahertz repetition frequencies up to 15 GHz. , 2013, Optics express.

[131]  P. Bucksbaum,et al.  Remote two-color optical-to-optical synchronization between two passively mode-locked lasers. , 2014, Optics letters.

[132]  Songnian Fu,et al.  Observation of timing jitter reduction induced by spectral filtering in a fiber laser mode locked with a carbon nanotube-based saturable absorber. , 2010, Optics letters.

[133]  Nathan R Newbury,et al.  Phase-locked, erbium-fiber-laser-based frequency comb in the near infrared. , 2004, Optics letters.

[134]  Rüdiger Paschotta,et al.  Noise of mode-locked lasers (Part I): numerical model , 2004 .

[135]  Jun Ye,et al.  Detailed studies and control of intensity-related dynamics of femtosecond frequency combs from mode-locked Ti:sapphire lasers , 2003 .

[136]  Alfred Leitenstorfer,et al.  Attosecond relative timing jitter and 13 fs tunable pulses from a two-branch Er:fiber laser. , 2007, Optics letters.

[137]  Long-Sheng Ma,et al.  Optical frequency comb with an absolute linewidth of 0.6 Hz–1.2 Hz over an octave spectrum , 2013 .

[138]  Xing Li,et al.  Timing-Jitter Reduction by Use of a Spectral Filter in a Broadband Femtosecond Fiber Laser , 2015, IEEE Photonics Technology Letters.

[139]  Scott A. Diddams,et al.  Generation of a 660-2100 nm laser frequency comb based on an erbium fiber laser. , 2012, Optics letters.

[140]  P Fritschel,et al.  Frequency fluctuations of a diode-pumped Nd:YAG ring laser. , 1989, Optics letters.

[141]  O. Okhotnikov,et al.  Ultra-fast fibre laser systems based on SESAM technology: new horizons and applications , 2004 .

[142]  Periklis Petropoulos,et al.  High-resolution microwave frequency transfer over an 86-km-long optical fiber network using a mode-locked laser. , 2011, Optics letters.

[143]  F. Ilday,et al.  Intensity noise of mode-locked fiber lasers. , 2009, Optics letters.

[144]  J. Fujimoto,et al.  Optical Coherence Tomography , 1991 .

[145]  D. Mccumber,et al.  Intensity Fluctuations in the Output of cw Laser Oscillators. I , 1966 .

[146]  Günter Steinmeyer,et al.  Performance comparison of interferometer topologies for carrier-envelope phase detection , 2009 .

[147]  Kwangyun Jung,et al.  Timing jitter optimization of mode-locked Yb-fiber lasers toward the attosecond regime. , 2011, Optics express.

[148]  I Hartl,et al.  Fiber-laser frequency combs with subhertz relative linewidths. , 2006, Optics letters.

[149]  Jia Haur Wong,et al.  Noise conversion from pump to the passively mode-locked fiber lasers at 1.5 μm. , 2012, Optics letters.

[150]  Lei Chen,et al.  A sub-40-mHz-linewidth laser based on a silicon single-crystal optical cavity , 2011, Nature Photonics.

[151]  H. Haus,et al.  Random walk of coherently amplified solitons in optical fiber transmission. , 1986, Optics letters.

[152]  Kwangyun Jung,et al.  All-fibre photonic signal generator for attosecond timing and ultralow-noise microwave , 2015, Scientific Reports.

[153]  David A. B. Miller,et al.  The benefits of ultrashort optical pulses in optically interconnected systems , 2003 .

[154]  U. Keller,et al.  Carrier–envelope-offset dynamics and stabilization of femtosecond pulses , 2002, CLEO 2002.

[155]  William C. Swann,et al.  Suppression of pump-induced frequency noise in fiber-laser frequency combs leading to sub-radian fceo phase excursions , 2006 .

[156]  S. Diddams,et al.  Photonic microwave generation with high-power photodiodes , 2013, 2013 IEEE Photonics Conference.

[157]  M. Fermann,et al.  Additive-pulse-compression mode locking of a neodymium fiber laser. , 1991, Optics letters.

[158]  Bianca E. N. Keeler.  Wavelength division multiplexed optical interconnects using short pulses , 2003 .

[159]  R. Windeler,et al.  Noise amplification during supercontinuum generation in microstructure fiber. , 2003, Optics letters.

[160]  A Husakou,et al.  Carrier-envelope phase stabilization with sub-10 as residual timing jitter. , 2011, Optics letters.

[161]  Holger Schlarb,et al.  Long-term femtosecond timing link stabilization using a single-crystal balanced cross correlator , 2007 .

[162]  T. Schibli,et al.  Timing jitter characterization of mode-locked lasers with <1 zs/√Hz resolution using a simple optical heterodyne technique. , 2015, Optics letters.

[163]  Young-Jin Kim,et al.  Testing of a femtosecond pulse laser in outer space , 2014, Scientific Reports.

[164]  Franz X Kärtner,et al.  Balanced optical-microwave phase detector for sub-femtosecond optical-RF synchronization. , 2014, Optics express.

[165]  F. Wise,et al.  Self-similar evolution of parabolic pulses in a laser. , 2004, Physical review letters.

[166]  Jun Ye,et al.  Cavity-enhanced optical frequency comb spectroscopy: application to human breath analysis. , 2008, Optics express.

[167]  Zhipei Sun,et al.  74-fs nanotube-mode-locked fiber laser , 2012 .

[168]  Jun Ye,et al.  Testing ultrafast mode-locking at microhertz relative optical linewidth. , 2008, Optics express.

[169]  B. E. Nelson,et al.  Skew and jitter removal using short optical pulses for optical interconnection , 2000, IEEE Photonics Technology Letters.

[170]  Jun Ye,et al.  Optical frequency comb with submillihertz linewidth and more than 10 W average power , 2008 .

[171]  Takao Fuji,et al.  Controlling the carrier-envelope phase of ultrashort light pulses with optical parametric amplifiers. , 2002, Physical review letters.

[172]  Takeshi Yasui,et al.  Fiber-based, hybrid terahertz spectrometer using dual fiber combs. , 2010, Optics letters.

[173]  Norihiko Nishizawa,et al.  Flatly broadened, wideband and low noise supercontinuum generation in highly nonlinear hybrid fiber. , 2004, Optics express.

[174]  J. Rothhardt,et al.  Improving carrier-envelope phase stability in optical parametric chirped-pulse amplifiers by control of timing jitter. , 2012, Optics letters.

[175]  Kwangyun Jung,et al.  Sub-100-as timing jitter optical pulse trains from mode-locked Er-fiber lasers. , 2011, Optics letters.

[176]  William C. Swann,et al.  Low-noise fiber-laser frequency combs (Invited) , 2007 .

[177]  Jie Sun,et al.  Photonic ADC: overcoming the bottleneck of electronic jitter. , 2012, Optics express.

[178]  Giuseppe Marra,et al.  High-stability microwave frequency transfer by propagation of an optical frequency comb over 50 km of optical fiber. , 2010, Optics letters.

[179]  Jaroslaw Sotor,et al.  Mode-locked erbium-doped fiber laser based on evanescent field interaction with Sb2Te3 topological insulator , 2014 .

[180]  Jun Ye,et al.  Direct frequency comb spectroscopy in the extreme ultraviolet , 2011, Nature.

[181]  Albrecht Bartels,et al.  Offset frequency dynamics and phase noise properties of a self-referenced 10 GHz Ti:sapphire frequency comb. , 2011, Optics express.

[182]  F. Kärtner,et al.  Drift-free femtosecond timing synchronization of remote optical and microwave sources , 2008 .

[183]  I. Coddington,et al.  Coherent multiheterodyne spectroscopy using stabilized optical frequency combs. , 2007, Physical review letters.

[184]  G Santarelli,et al.  Optical-fiber pulse rate multiplier for ultralow phase-noise signal generation. , 2011, Optics letters.

[185]  J Kim,et al.  Balanced optical-microwave phase detectors for optoelectronic phase-locked loops. , 2006, Optics letters.

[186]  Young-Jin Kim,et al.  Hybrid mode-locked Er-doped fiber femtosecond oscillator with 156 mW output power. , 2012, Optics express.

[187]  F. Kartner,et al.  Attosecond-resolution timing jitter characterization of free-running mode-locked lasers , 2007, 2008 Conference on Lasers and Electro-Optics and 2008 Conference on Quantum Electronics and Laser Science.

[188]  K. Minoshima,et al.  High-accuracy measurement of 240-m distance in an optical tunnel by use of a compact femtosecond laser. , 2000, Applied optics.

[189]  Erik Benkler,et al.  Circumvention of noise contributions in fiber laser based frequency combs. , 2005, Optics express.

[190]  Hermann A. Haus,et al.  Quantum noise in a solitonlike repeater system , 1991 .

[191]  F. Kärtner,et al.  Pulse synthesis in the single-cycle regime from independent mode-locked lasers using attosecond-precision feedback. , 2012, Optics letters.

[192]  Franz X Kärtner,et al.  Complete characterization of quantum-limited timing jitter in passively mode-locked fiber lasers. , 2010, Optics letters.

[193]  Anne C. Tropper,et al.  Continuous-wave oscillation of a monomode ytterbium-doped fibre laser , 1988 .

[194]  Rüdiger Paschotta,et al.  Noise of mode-locked lasers (Part II): timing jitter and other fluctuations , 2004 .

[195]  Franz X Kärtner,et al.  High-repetition-rate, 491 MHz, femtosecond fiber laser with low timing jitter. , 2008, Optics letters.

[196]  Feng-Lei Hong,et al.  Narrow linewidth comb realized with a mode-locked fiber laser using an intra-cavity waveguide electro-optic modulator for high-speed control. , 2012, Optics express.

[197]  I Hartl,et al.  Frequency comb stabilization with bandwidth beyond the limit of gain lifetime by an intracavity graphene electro-optic modulator. , 2012, Optics letters.

[198]  Kwangyun Jung,et al.  Low timing jitter and intensity noise from a soliton Er-fiber laser mode-locked by a fiber taper carbon nanotube saturable absorber. , 2012, Optics express.

[199]  L. Hollberg,et al.  Study of the excess noise associated with demodulation of ultra-short infrared pulses , 2005, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[200]  T. Hänsch,et al.  Laser Frequency Combs for Astronomical Observations , 2008, Science.

[201]  Mietek Lisak,et al.  Wave breaking in nonlinear-optical fibers , 1992 .

[202]  Laura C Sinclair,et al.  Broadband Phase Spectroscopy over Turbulent Air Paths. , 2015, Physical review letters.

[203]  Young-Jin Kim,et al.  Time-of-flight measurement with femtosecond light pulses , 2010 .

[204]  Ahmed H. Zewail Prof..  Femtochemistry: Atomic-Scale Dynamics of the Chemical Bond Using Ultrafast Lasers (Nobel Lecture) , 2000 .

[205]  E. Mazur,et al.  Ultrafast laser processing of materials: a review , 2015 .

[206]  E. Wintner,et al.  Low-noise operation modes of a passively mode-locked fiber laser , 1991, IEEE Photonics Technology Letters.

[207]  A. Hati,et al.  Sub-femtosecond absolute timing jitter with a 10 GHz hybrid photonic-microwave oscillator , 2012 .

[208]  I. Hartl,et al.  Ultrafast Fiber Laser Technology , 2009, IEEE Journal of Selected Topics in Quantum Electronics.

[209]  Tsung-Han Wu,et al.  Low noise erbium fiber fs frequency comb based on a tapered-fiber carbon nanotube design. , 2011, Optics express.

[210]  David Blair,et al.  A very high stability sapphire loaded superconducting cavity oscillator , 1990 .

[211]  Jie Zong,et al.  All-fiber fundamentally mode-locked 12  GHz laser oscillator based on an Er/Yb-doped phosphate glass fiber. , 2014, Optics letters.

[212]  Charles C. Harb,et al.  Intensity-noise dependence of Nd:YAG lasers on their diode-laser pump source , 1997 .

[213]  G A Cranch.  Frequency noise reduction in erbium-doped fiber distributed-feedback lasers by electronic feedback. , 2002, Optics letters.

[214]  Junho Shin,et al.  Frequency comb-based microwave transfer over fiber with 7×10(-19) instability using fiber-loop optical-microwave phase detectors. , 2014, Optics letters.

[215]  Manoj Das,et al.  Frequency ratio of Yb and Sr clocks with 5 × 10 −17 uncertainty at 150 seconds averaging time , 2016 .

[216]  Tobias Wilken,et al.  Generation of low-timing-jitter femtosecond pulse trains with 2 GHz repetition rate via external repetition rate multiplication. , 2008, Optics letters.

[217]  O. Prochnow,et al.  Quantum-limited noise performance of a femtosecond all-fiber ytterbium laser. , 2009, Optics express.

[218]  Jun Ye,et al.  Remote transfer of ultrastable frequency references via fiber networks. , 2007, The Review of scientific instruments.

[219]  Kaoru Minoshima,et al.  Extremely high-accuracy correction of air refractive index using two-colour optical frequency combs , 2013, Scientific Reports.

[220]  F. Torrisi,et al.  Sub 200 fs pulse generation from a graphene mode-locked fiber laser , 2010, 1010.1329.

[221]  Christian Hapke,et al.  Pulse duration and energy scaling of femtosecond all-normal dispersion fiber oscillators. , 2012, Optics express.

[222]  F. Kartner,et al.  Carrier-envelope phase dynamics and noise analysis in octave-spanning Ti:sapphire lasers , 2006, 2006 Conference on Lasers and Electro-Optics and 2006 Quantum Electronics and Laser Science Conference.

[223]  Noriaki Miyanaga,et al.  Generation of sub-7-cycle optical pulses from a mode-locked ytterbium-doped single-mode fiber oscillator pumped by polarization-combined 915 nm laser diodes. , 2012, Optics letters.

[224]  J. Campbell,et al.  Optical amplification and pulse interleaving for low-noise photonic microwave generation. , 2013, Optics letters.

[225]  T. Hänsch,et al.  A 920-Kilometer Optical Fiber Link for Frequency Metrology at the 19th Decimal Place , 2012, Science.

[226]  Manoj Das,et al.  Frequency ratios of Sr, Yb, and Hg based optical lattice clocks and their applications , 2015 .

[227]  Jun Wang,et al.  463-MHz fundamental mode-locked fiber laser based on few-layer MoS(2) saturable absorber. , 2015, Optics letters.

[228]  Albert Schliesser,et al.  Mid-infrared frequency combs , 2012, Nature Photonics.

[229]  M. H. Ober,et al.  Characterization of ultrashort pulse formation in passively mode-locked fiber lasers , 1992 .

[230]  Jun Ye,et al.  Phase-stabilized, 1.5 W frequency comb at 2.8-4.8 microm. , 2009, Optics letters.

[231]  Bowen Liu,et al.  Enhanced spectral breathing for sub-25 fs pulse generation in a Yb-fiber laser. , 2013, Optics letters.

[232]  Guy Millot,et al.  Asymptotic characteristics of parabolic similariton pulses in optical fiber amplifiers. , 2004, Optics letters.

[233]  D. C. Hanna,et al.  Efficient high-power continuous-wave operation of monomode Tm-doped fibre laser at 2 mu m pumped by Nd:YAG laser at 1.064 mu m , 1989 .

[234]  O. Ilday,et al.  All-Fiber Low-Noise High-Power Femtosecond Yb-Fiber Amplifier System Seeded by an All-Normal Dispersion Fiber Oscillator , 2009, IEEE Journal of Selected Topics in Quantum Electronics.

[235]  E. M. Dianov,et al.  Efficient silica-based Ho3+ fibre laser for 2 µm spectral region pumped at 1.15 µm , 2000 .

[236]  Kevin Bandura,et al.  A Radio-Frequency-over-Fiber link for large-array radio astronomy applications , 2013, 1308.5481.

[237]  J Reichert,et al.  Accurate measurement of large optical frequency differences with a mode-locked laser. , 1999, Optics letters.

[238]  J. Jiang,et al.  All polarization-maintaining Er fiber-based optical frequency combs with nonlinear amplifying loop mirror. , 2016, Optics express.

[239]  F. Ömer Ilday,et al.  Soliton–similariton fibre laser , 2010 .

[240]  I Hartl,et al.  Broadband phase noise suppression in a Yb-fiber frequency comb. , 2011, Optics letters.

[241]  Hall,et al.  Carrier-envelope phase control of femtosecond mode-locked lasers and direct optical frequency synthesis , 2000, Science.

[242]  A. Luiten,et al.  Ultra-low noise microwave extraction from fiber-based optical frequency comb , 2009, EFTF-2010 24th European Frequency and Time Forum.

[243]  Kwangyun Jung,et al.  Characterization of timing jitter spectra in free-running mode-locked lasers with 340  dB dynamic range over 10 decades of Fourier frequency. , 2015, Optics letters.

[244]  Shu Namiki,et al.  Observation of nearly quantum-limited timing jitter in an all-fiber ring laser , 1996 .

[245]  Hiroyuki Yokoyama,et al.  Quantum-limited noise performance of a mode-locked laser diode. , 2002, Optics letters.

[246]  Scott A. Diddams,et al.  Molecular fingerprinting with the resolved modes of a femtosecond laser frequency comb , 2007, Nature.

[247]  Rüdiger Paschotta,et al.  Q-switching stability limits of continuous-wave passive mode locking , 1999 .

[248]  Zhengming Zhang,et al.  All-fiber nonlinearity- and dispersion-managed dissipative soliton nanotube mode-locked laser , 2015 .

[249]  L. Nenadovic,et al.  Rapid and precise absolute distance measurements at long range , 2009 .

[250]  N. Schuhler,et al.  Frequency-comb-referenced two-wavelength source for absolute distance measurement. , 2006, Optics letters.

[251]  Leo W. Hollberg,et al.  Low-noise synthesis of microwave signals from an optical source , 2005 .

[252]  Shinji Yamashita,et al.  Multi-gigahertz repetition rate passively modelocked fiber lasers using carbon nanotubes. , 2011, Optics express.

[253]  M. Kirchner,et al.  Generation of ultrastable microwaves via optical frequency division , 2011, 1101.3616.

[254]  Günter Steinmeyer,et al.  Supercontinuum generation as a signal amplifier , 2015 .

[255]  A. Siegman,et al.  FM and AM mode locking of the homogeneous laser - Part I: Theory , 1970 .

[256]  A. Weiner,et al.  Optical frequency comb technology for ultra‐broadband radio‐frequency photonics , 2014, 1403.2776.

[257]  Jun Ye,et al.  Extreme ultraviolet radiation with coherence time greater than 1 s , 2014, Nature Photonics.

[258]  Kwangyun Jung,et al.  5-Femtosecond Laser-Electron Synchronization for Pump-Probe Crystallography and Diffraction , 2015 .

[259]  McClelland,et al.  Intensity-noise properties of injection-locked lasers. , 1996, Physical review. A, Atomic, molecular, and optical physics.

[260]  Alfred Leitenstorfer,et al.  Free-running performance and full control of a passively phase-stable Er:fiber frequency comb , 2015 .

[261]  Wei Chen,et al.  Few-femtosecond timing jitter from a picosecond all-polarization-maintaining Yb-fiber laser. , 2016, Optics express.

[262]  S. P. Craig-Ryan,et al.  Femtosecond fibre laser , 1990 .

[263]  T. C. Briles,et al.  Optical frequency comb spectroscopy. , 2011, Faraday discussions.

[264]  Pierre Brochard,et al.  Characterizing the carrier-envelope offset in an optical frequency comb without traditional f-to-2f interferometry. , 2015, Optics letters.

[265]  Rüdiger Paschotta,et al.  Timing jitter and phase noiseof mode-locked fiber lasers. , 2010, Optics express.

[266]  J W Nicholson,et al.  Direct-comb molecular spectroscopy with accurate, resolved comb teeth over 43 THz. , 2012, Optics letters.

[267]  Burghard Lipphardt,et al.  Kerr-lens, mode-locked lasers as transfer oscillators for optical frequency measurements , 2002 .

[268]  J G Fujimoto,et al.  Sub-two-cycle pulses from a Kerr-lens mode-locked Ti:sapphire laser. , 1999, Optics letters.

[269]  Hall,et al.  Direct link between microwave and optical frequencies with a 300 THz femtosecond laser comb , 2000, Physical review letters.

[270]  Jun Ye,et al.  Colloquium: Femtosecond optical frequency combs , 2003 .

[271]  L S Ma,et al.  Delivering the same optical frequency at two places: accurate cancellation of phase noise introduced by an optical fiber or other time-varying path. , 1994, Optics letters.

[272]  N. Newbury,et al.  Microwave generation with low residual phase noise from a femtosecond fiber laser with an intracavity electro-optic modulator. , 2011, Optics express.

[273]  David A. B. Miller,et al.  Receiver-less optical clock injection for clock distribution networks , 2003 .

[274]  T. Kane,et al.  Intensity noise in diode-pumped single-frequency Nd:YAG lasers and its control by electronic feedback , 1990, IEEE Photonics Technology Letters.

[275]  Young-Jin Kim,et al.  Femtosecond laser pulses for fast 3-D surface profilometry of microelectronic step-structures. , 2013, Optics express.

[276]  Scott A. Diddams,et al.  The evolving optical frequency comb [Invited] , 2010 .

[277]  Junho Shin,et al.  Ultralow Phase Noise Microwave Generation From Mode-Locked Er-Fiber Lasers With Subfemtosecond Integrated Timing Jitter , 2013, IEEE Photonics Journal.

[278]  Matthew E. Grein,et al.  Noise of mode-locked semiconductor lasers , 2001 .

[279]  Vladislav Gerginov,et al.  A strontium lattice clock with 3 × 10 − 17 ?> inaccuracy and its frequency , 2013, 1312.3419.

[280]  J. Jiang,et al.  Ultra-low noise all polarization-maintaining Er fiber-based optical frequency combs facilitated with a graphene modulator. , 2015, Optics express.

[281]  A. Zewail,et al.  Femtochemistry: Atomic-Scale Dynamics of the Chemical Bond Using Ultrafast Lasers (Nobel Lecture) Copyright((c)) The Nobel Foundation 2000. We thank the Nobel Foundation, Stockholm, for permission to print this lecture. , 2000, Angewandte Chemie.

[282]  I. Coddington,et al.  Spectroscopy of the methane {nu}{sub 3} band with an accurate midinfrared coherent dual-comb spectrometer , 2011 .

[283]  Thomas Udem,et al.  Attosecond control of optical waveforms , 2005 .

[284]  Brandon Botzer,et al.  Demonstration of on-sky calibration of astronomical spectra using a 25 GHz near-IR laser frequency comb. , 2012, Optics express.

[285]  J.W. Nicholson,et al.  High-Repetition-Frequency Low-Noise Fiber Ring Lasers Mode-Locked With Carbon Nanotubes , 2008, IEEE Photonics Technology Letters.

[286]  N. Newbury,et al.  Elimination of pump-induced frequency jitter on fiber-laser frequency combs. , 2006, Optics letters.

[287]  F. Kärtner,et al.  Photonic subsampling analog-to-digital conversion of microwave signals at 40-GHz with higher than 7-ENOB resolution. , 2008, Optics express.

[288]  S. Radic,et al.  Overcoming Kerr-induced capacity limit in optical fiber transmission , 2015, Science.

[289]  K. Miura,et al.  Writing waveguides in glass with a femtosecond laser. , 1996, Optics letters.

[290]  Kwangyun Jung,et al.  Impact of pulse dynamics on timing jitter in mode-locked fiber lasers. , 2011, Optics letters.

[291]  F. Kärtner,et al.  Stabilization of solitonlike pulses with a slow saturable absorber. , 1995, Optics letters.

[292]  N. Newbury,et al.  Theory of the frequency comb output from a femtosecond fiber laser , 2005, IEEE Journal of Quantum Electronics.

[293]  T. Newson,et al.  Selfstarting passively mode-locked fibre ring soliton laser exploiting nonlinear polarisation rotation , 1992 .

[294]  Günter Steinmeyer,et al.  Carrier-envelope offset phase control: A novel concept for absolute optical frequency measurement and ultrashort pulse generation , 1999 .

[295]  Alfred Leitenstorfer,et al.  Synthesis of a single cycle of light with compact erbium-doped fibre technology , 2010 .