Kerr Microresonator Soliton Frequency Combs at Cryogenic Temperatures
Total Page:16
File Type:pdf, Size:1020Kb
Load more
Recommended publications
-
Real-Time Observation of Dissipative Soliton Formation in Nonlinear Polarization Rotation Mode- Locked fibre Lasers
ARTICLE DOI: 10.1038/s42005-018-0022-7 OPEN Real-time observation of dissipative soliton formation in nonlinear polarization rotation mode- locked fibre lasers Junsong Peng1, Mariia Sorokina2, Srikanth Sugavanam2, Nikita Tarasov2,3, Dmitry V. Churkin3, 1234567890():,; Sergei K. Turitsyn2,3 & Heping Zeng1 Formation of coherent structures and patterns from unstable uniform state or noise is a fundamental physical phenomenon that occurs in various areas of science ranging from biology to astrophysics. Understanding of the underlying mechanisms of such processes can both improve our general interdisciplinary knowledge about complex nonlinear systems and lead to new practical engineering techniques. Modern optics with its high precision mea- surements offers excellent test-beds for studying complex nonlinear dynamics, though capturing transient rapid formation of optical solitons is technically challenging. Here we unveil the build-up of dissipative soliton in mode-locked fibre lasers using dispersive Fourier transform to measure spectral dynamics and employing autocorrelation analysis to investi- gate temporal evolution. Numerical simulations corroborate experimental observations, and indicate an underlying universality in the pulse formation. Statistical analysis identifies cor- relations and dependencies during the build-up phase. Our study may open up possibilities for real-time observation of various nonlinear structures in photonic systems. 1 State Key Laboratory of Precision Spectroscopy, East China Normal University, 200062 Shanghai, -
Fundamentals of Frequency Combs: What They Are and How They Work
Fundamentals of frequency combs: What they are and how they work Scott Diddams Time and Frequency Division National Institute of Standards and Technology Boulder, CO KISS Worshop: “Optical Frequency Combs for Space Applications” 1 Outline 1. Optical frequency combs in timekeeping • How we got to where we are now…. 2. The multiple faces of an optical frequency comb 3. Classes of frequency combs and their basic operation principles • Mode-locked lasers • Microcombs • Electro-optic frequency combs 4. Challenges and opportunities for frequency combs 2 Timekeeping: The long view Oscillator Freq. f = 1 Hz Rate of improvement f = 10 kHz since 1950: 1.2 decades / 10 years f = 10 GHz “Moore’s Law”: 1.5 decades / 10 years f = 500 THz Gravitational red shift of 10 cm Sr optical clock ? f = 10-100 PHz ?? S. Diddams, et al, Science (2004) Timekeeping: The long view Oscillator Freq. f = 1 Hz f = 10 kHz f = 10 GHz f = 500 THz Gravitational red shift of 10 cm Sr optical clock ? f = 10-100 PHz ?? S. Diddams, et al, Science (2004) Use higher frequencies ! Dividing the second into smaller pieces yields superior frequency standards and metrology tools: 15 νoptical 10 ≈ ≈ 105 νmicrowave 1010 In principle (!), optical standards could surpass their microwave counterparts by up to five orders of magnitude ... but how can one count, control and measure optical frequencies? 5 Optical Atomic Clocks Atom(s) νo Detector At NIST/JILA: Ca, Hg+, Al+, Yb, Sr & Slow Δν Laser Control Atomic Resonance Counter & Laser Read Out Fast Laser (laser frequency comb) Control •Isolated cavity narrows laser linewidth and provides short term timing reference Isolated Optical Cavity •Atoms provide long-term stability and accuracy— now now at 10-18 level! •Laser frequency comb acts as a divider/counter Outline 1. -
Optical Event Horizons from the Collision of a Soliton and Its Own Dispersive Wave S
Optical event horizons from the collision of a soliton and its own dispersive wave S. Wang, Arnaud Mussot, Matteo Conforti, A. Bendahmane, X. Zeng, Alexandre Kudlinski To cite this version: S. Wang, Arnaud Mussot, Matteo Conforti, A. Bendahmane, X. Zeng, et al.. Optical event horizons from the collision of a soliton and its own dispersive wave. Physical Review A, American Physical Society, 2015, 92 (2), 10.1103/PhysRevA.92.023837. hal-02388991 HAL Id: hal-02388991 https://hal.archives-ouvertes.fr/hal-02388991 Submitted on 2 Dec 2019 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. PHYSICAL REVIEW A 92, 023837 (2015) Optical event horizons from the collision of a soliton and its own dispersive wave S. F. Wang,1,2 A. Mussot,1 M. Conforti,1 A. Bendahmane,1 X. L. Zeng,2 and A. Kudlinski1,* 1Laboratoire PhLAM, UMR CNRS 8523, IRCICA, USR CNRS 3380, Universite´ Lille 1, 59655 Villeneuve d’Ascq, France 2Key Laboratory of Specialty Fiber Optics and Optical Access Network, Shanghai University, 200072 Shanghai, China (Received 22 May 2015; published 20 August 2015) We observe experimentally the spectral signature of the collision between a soliton and the dispersive wave initially emitted from the soliton itself. -
Towards On-Chip Self-Referenced Frequency-Comb Sources Based on Semiconductor Mode-Locked Lasers
micromachines Review Towards On-Chip Self-Referenced Frequency-Comb Sources Based on Semiconductor Mode-Locked Lasers Marcin Malinowski 1,*, Ricardo Bustos-Ramirez 1 , Jean-Etienne Tremblay 2, Guillermo F. Camacho-Gonzalez 1, Ming C. Wu 2 , Peter J. Delfyett 1,3 and Sasan Fathpour 1,3,* 1 CREOL, The College of Optics and Photonics, University of Central Florida, Orlando, FL 32816, USA; [email protected] (R.B.-R.); [email protected] (G.F.C.-G.); [email protected] (P.J.D.) 2 Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, CA 94720, USA; [email protected] (J.-E.T.); [email protected] (M.C.W.) 3 Department of Electrical and Computer Engineering, University of Central Florida, Orlando, FL 32816, USA * Correspondence: [email protected] (M.M.); [email protected] (S.F.) Received: 14 May 2019; Accepted: 5 June 2019; Published: 11 June 2019 Abstract: Miniaturization of frequency-comb sources could open a host of potential applications in spectroscopy, biomedical monitoring, astronomy, microwave signal generation, and distribution of precise time or frequency across networks. This review article places emphasis on an architecture with a semiconductor mode-locked laser at the heart of the system and subsequent supercontinuum generation and carrier-envelope offset detection and stabilization in nonlinear integrated optics. Keywords: frequency combs; heterogeneous integration; second-harmonic generation; supercontinuum; integrated photonics; silicon photonics; mode-locked lasers; nonlinear optics 1. Introduction The field of integrated photonics aims at harnessing optical waves in submicron-scale devices and circuits, for applications such as transmitting information (communications) and gathering information about the environment (imaging, spectroscopy, etc.). -
Atomic Clocks of the Future: Using the Ultrafast and Ultrastable'
Atomic clocks of the future: using the ultrafast and ultrastable' Leo Hollberg, Scott Diddanis, Chris Oates, Anne Curtis. SCbastien Bize, and Jim Bergquist National Institute of Standards and Technology, 325 Broadway, Boulder, CO 80305 F-mai!: !~ol!ber~~,b~~!der.ni~~.gc\~ *Contribution of NlST not subject Lo copyrigl~t. Abstract. The applicalion of ultrafast mode-locked lasers and nonlinear optics to optical frequency nietrology is revolutionizing the field ofatomic clocks. The basic concepts and applications are reviewed using our recent rcsults with two optical atomic frequency standards based on laser cooled and trapped atoms. In contrast to today's atomic clocks that are based on electronic oscillators locked to microwave transitions in atoms, the nest generation of atomic clocks will ]nos[ likely employ lasers and optical transitions in lasel--cooled atoms and ions. Optical atomic frequency standards use frequency-stabilized CW lasers with good short-term stability that are stabilized to narrow atomic rcsonances using feedback control systems. At NIST we are developing two optical frequency standards, one based on laser cooled and trapped calcium atoms and the other on a single laser cooled trapped Hg+ ion. Similar research is being done at labs around the world. 1\1oving from microwave frequencies, where one cycle corresponds to 100 ps, to optical frequencies where one cycle is a femtosecond long, allows us to divide time into smaller intervals and hence gain frequency stability and timing precision. Steady progress over the past 30 years has improved the performance of optical fiquency standards to the point that they are now competitive with, and even moving beyond. -
Integrable Nonlinear Schrödinger Systems and Their Soliton Dynamics
Dynamics of PDE, Vol.1, No.3, 239-299, 2004 Integrable Nonlinear Schr¨odinger Systems and their Soliton Dynamics M. J. Ablowitz, B. Prinari, and A. D. Trubatch Communicated by Charles Li, received June 16, 2004. Abstract. Nonlinear Schr¨odinger (NLS) systems are important examples of physically-significant nonlinear evolution equations that can be solved by the inverse scattering transform (IST) method. In fact, the IST for discrete and continuous, as well as scalar and vector, NLS systems all fit into the same framework, which is reviewed here. The parallel presentation of the IST for each of these systems not only clarifies the common structure of the IST, but also highlights the key variations. Importantly, these variations manifest themselves in the dynamics of the solutions. With the IST approach, one can explicitly construct the soliton solutions of each of these systems, as well as formulas from which one can determine the dynamics of soliton interaction. In particular, vector solitons, both continuous and discrete, are partially charac- terized by a polarization vector, which is shifted by soliton interaction. Here, we give a complete account of the nature of this polarization shift. The po- larization vector can be used to encode the value of a binary digit (“bit”) and the soliton interaction arranged so as to effect logical computations. Contents 1. Introduction 240 2. Scalar Nonlinear Schr¨odinger equation (NLS) 244 3. Integrable Discrete Nonlinear Schr¨odinger equation (IDNLS) 253 4. Vector Nonlinear Schr¨odinger (VNLS) equation 266 5. Integrable Discrete Vector Nonlinear Schr¨odinger equation (IDVNLS) 274 6. Soliton Interactions 288 7. -
Soliton Crystals in Kerr Resonators
Soliton crystals in Kerr resonators Daniel C. Cole1,2, Erin S. Lamb1, Pascal Del’Haye1,†, Scott A. Diddams1, and Scott B. Papp1 1National Institute of Standards and Technology (NIST), Boulder, CO 80305, USA 2Department of Physics, University of Colorado, Boulder, CO 80309, USA †Present address: National Physical Laboratory (NPL), Teddington, TW11 0LW, United Kingdom Corresponding author: [email protected] Strongly interacting solitons confined to an optical resonator would offer unique capabilities for experiments in communication, computation, and sensing with light. Here we report on the discovery of soliton crystals in monolithic Kerr microresonators—spontaneously and collectively ordered ensembles of co-propagating solitons whose interactions discretize their allowed temporal separations. We unambiguously identify and characterize soliton crystals through analysis of their ‘fingerprint’ optical spectra, which arise from spectral interference between the solitons. We identify a rich space of soliton crystals exhibiting crystallographic defects, and time-domain measurements directly confirm our inference of their crystal structure. The crystallization we observe is explained by long-range soliton interactions mediated by resonator mode degeneracies, and we probe the qualitative difference between soliton crystals and a soliton liquid that forms in the absence of these interactions. Our work explores the rich physics of monolithic Kerr resonators in a new regime of dense soliton occupation and offers a way to greatly increase the efficiency of Kerr combs; further, the extreme degeneracy of the configuration space of soliton crystals suggests an implementation for a robust on-chip optical buffer. Optical solitons have recently found a new realization in frequency combs generated in passive, monolithic Kerr- nonlinear resonators1 (microcombs). -
Plasmon-Soliton
Plasmon-Soliton Eyal Feigenbaum and Meir Orenstein Department of Electrical Engineering, Technion, Haifa 32000, Israel [email protected] Abstract : Formation of a novel hybrid-vector spatial plasmon-soliton in a Kerr slab embedded in-between metal plates is predicted and analyzed with a modified NLSE, encompassing hybrid vector field characteristics. Assisted by the transverse plasmonic effect, the self trapping dimension of the plasmon-soliton was substantially compressed (compared to the dielectrically cladded slab case) when reducing the slab width. The practical limitation of the Plasmon-soliton size reduction is determined by available nonlinear materials and metal loss. For the extreme reported values of nonlinear index change, we predict soliton with a cross section of 300nm×30nm (average dimension of 100nm). 1 The downscaling of conventional photonics is halted when approaching a transverse dimension of ~ λ/2 ( λ is the wavelength). This limitation can be alleviated by the incorporation of metals, giving rise to surface plasmon polaritons (SPP) [1,2]. Here we analyze a novel configuration where light is transversely tightly guided between two metal layers, and laterally self trapped by a nonlinear Kerr effect to yield a plasmon-soliton. The tight field confinement of this scheme is important for potential excitation of plasmon-solitons by a low power continuous wave optical source, which is further assisted by the expected small group velocity of the plasmon-soliton. In this letter we present for the first time both an analysis of TM spatial solitons, using the Non- linear Schrödinger Equation (NLSE), where the full vectorial field is considered, as well as the prediction and characteristics of SPP based solitons. -
Discrete Diffraction Managed Spatial Solitons
VOLUME 87, NUMBER 25 PHYSICAL REVIEW LETTERS 17DECEMBER 2001 Discrete Diffraction Managed Spatial Solitons Mark J. Ablowitz and Ziad H. Musslimani Department of Applied Mathematics, University of Colorado, Campus Box 526, Boulder, Colorado 80309-0526 (Received 25 June 2001; published 30 November 2001) Motivated by recent experimental observations of anomalous diffraction in linear waveguide array, we propose a novel model governing the propagation of an optical beam in a diffraction managed nonlinear waveguide array. This model supports discrete spatial solitons whose beamwidth and peak amplitude evolve periodically. A nonlocal integral equation governing the slow evolution of the soliton amplitude is derived and its stationary soliton solutions are obtained. DOI: 10.1103/PhysRevLett.87.254102 PACS numbers: 05.45.Yv Discrete spatial solitons in nonlinear media have at- Kerr media in the presence of both normal and anomalous tracted considerable attention in the scientific community diffraction. Importantly, even though optical diffraction for many years [1]. They have been demonstrated to exist and chromatic dispersion originate from different physics in a wide range of physical systems such as atomic chains (the former being geometric and the latter being media de- [2,3], molecular crystals [4], biophysical systems [5], elec- pendent), nevertheless, discrete diffraction spatial solitons trical lattices [6], and recently in arrays of coupled nonlin- and dispersion managed solitons share many properties ear optical waveguides [7,8]. Such discrete excitations can which highlight the universality and diversity of solitons. form when discrete diffraction is balanced by nonlinearity. A nonlocal integral equation governing the slow evolution In an optical waveguide array this can be achieved by using of the beam amplitude is derived, and its stationary soli- an intense laser beam which locally changes the nonlinear ton solutions are obtained. -
Soliton-Guided Quantum Information Processing
Chapter 1 Soliton-Guided Quantum Information Processing Ken Steiglitz Computer Science Department Princeton University Princeton NJ 08544 Abstract We describe applications of solitons and soliton collisions to the transport, transfer, and beam-splitting of qubits carried by optical photons. The transport and transfer realize the “flying qubits” necessary for quantum information processing, and the beam-splitting leads, in theory, to an implementation of quantum computing using linear optics. These proposed applications are embedded in a uniform optical fiber and require no special device fabrication, no cooling, and no vacuum. The pioneering papers of Feynman [1] and Deutsch [2] in the 1980s sparked the rapid development of the field of quantum information processing. The theoretical and experimentalprogress has been remarkable, with the development, for example, of quantum error correction and a fast algorithm for factoring, and the exploration of a wide variety of physical implementations. In the latter category, the optical photon as the carrier of a qubit has played an important role in the experimental demonstra- tion of quantum cryptography and other important applications to communications and information processing. At the same time there has been tremendous progress in our understanding of classical nonlinear waves, and, in particular, solitons in op- tical fibers. In this chapter we will explore what role solitons and soliton collisions might play in the development of quantum information processing with optical pho- tons. For a more detailed account, the reader is referred to [3, 4, 5], from which the material in this chapter was drawn. 1 2 Steiglitz 1.1 Photon trapping A pulse traveling down a fiber forms a soliton when the dispersion, which tends to widen the pulse, is counterbalanced by the nonlinear Kerr effect, whereby the elec- tric field changes the index of refraction of the material. -
Collision of Akhmediev Breathers in Nonlinear Fiber Optics
PHYSICAL REVIEW X 3, 041032 (2013) Collision of Akhmediev Breathers in Nonlinear Fiber Optics B. Frisquet, B. Kibler,* and G. Millot Laboratoire Interdisciplinaire Carnot de Bourgogne (ICB), UMR 6303 CNRS-Universite´ de Bourgogne, Dijon, France (Received 1 July 2013; published 19 December 2013) We report here a novel fiber-based test bed using tailored spectral shaping of an optical-frequency comb to excite the formation of two Akhmediev breathers that collide during propagation. We have found specific initial conditions by controlling the phase and velocity differences between breathers that lead, with certainty, to their efficient collision and the appearance of a giant-amplitude wave. Temporal and spectral characteristics of the collision dynamics are in agreement with the corresponding analytical solution. We anticipate that experimental evidence of breather-collision dynamics is of fundamental importance in the understanding of extreme ocean waves and in other disciplines driven by the continuous nonlinear Schro¨dinger equation. DOI: 10.1103/PhysRevX.3.041032 Subject Areas: Interdisciplinary Physics, Nonlinear Dynamics, Optics I. INTRODUCTION randomization inherent to the study of incoherent waves or chaotic states, various numerical works have shown the Nonlinear coherent phenomena in continuous media spontaneous emergence of coherent localized waves (even have been a key subject of research over the last decades rational solutions of the NLSE) from a turbulent environ- in the framework of the nonlinear Schro¨dinger equation ment [7,13–15]. Rogue waves are not just an offshoot of (NLSE), with applications to plasma physics, fluid dynam- breather collisions, but other mechanisms depending on the ics, and nonlinear optics [1]. In particular, much attention physical system must be taken into account in the forma- has been focused on the common solitary wave structures, tion of rogue waves, including the statistical approach, known as solitons, and their interactions in almost conser- when noise is present [16]. -
Self-Referencing a CW Laser with Efficient Nonlinear Optics
Self-referencing a CW laser with efficient nonlinear optics Scott Papp, Katja Beha, Pascal Del’Haye, Daniel Cole, Aurélien Coillet, Scott Diddams Time and Frequency Division, National Institute of Standards and Technology, Boulder, CO 80305 USA [email protected] Abstract: We present self-referencing of a CW laser via nonlinear pulse broadening of a Kerr microcomb and an electro-optic modulation (EOM) comb. Our experiments demonstrate the first phase-coherent optical-to-microwave link via f-2f self-referencing with such combs. OCIS codes: (190.4410) Nonlinear optics, parametric processes; (140.3948) Microcavity devices; (190.4380) Nonlinear optics, four-wave mixing. 1. Overview of experimental results Modelocked-laser frequency combs have revolutionized optical frequency metrology and precision time keeping by providing an equidistant set of absolute reference lines that span in excess of an octave. Their typically sub-GHz repetition frequency and <100 fs optical pulses enable nonlinear broadening for self-referencing, and feature among the highest spectral purity of any oscillator. Such devices have enabled myriad applications from optical clocks (1– 6) to precisely calibrated spectroscopy to quantum information. Moreover, experimental control of carrier-envelope offset phase contributes to ultrafast science. Frequency combs generated from a CW laser via Kerr parametric nonlinear optics in microcavities (Kerr microcombs) (7, 8) and electro-optic modulation (EOM) (9–13) are interesting new platforms for experimenters. The 10’s of GHz or higher repetition frequency and the offset frequency of such combs are tunable to match a fuller range of comb applications in optical communications, metrology, arbitrary waveform generation, and with quantum-based systems.