Chip-Based Optical Frequency Combs for High-Capacity Optical
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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. -
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. -
Orthogonally Polarized Kerr Frequency Combs
Orthogonally Polarized Kerr Frequency Combs Changjing Bao1*, Peicheng Liao1, Arne Kordts2, Lin Zhang3, Andrey Matsko4, Maxim Karpov2, Martin H. P. Pfeiffer2, Guodong Xie1, Yinwen Cao1, Yan Yan1, Ahmed Almaiman1, Zhe Zhao1, Amirhossein Mohajerin-Ariaei1, Ahmad Fallahpour1, Fatemeh Alishahi1, Moshe Tur5, Lute Maleki4, Tobias J. Kippenberg2, Alan E. Willner1 1Department of Electrical Engineering, University of Southern California, Los Angeles, CA 90089, USA. 2École Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland 3School of Precision Instrument and Opto-electronics Engineering, Tianjin University, Tianjin 300072, China 4OEwaves Inc., 465 N. Halstead Street, Pasadena, California 91107, USA 5School of Electrical Engineering, Tel Aviv University, Ramat Aviv 69978, Israel Corresponding author: [email protected] Abstract: Kerr optical frequency combs with multi-gigahertz spacing have previously been demonstrated in chip-scale microresonators, with potential applications in coherent communication, spectroscopy, arbitrary waveform generation, and radio frequency photonic oscillators. In general, the harmonics of a frequency comb are identically polarized in a single microresonator. In this work, we report that one comb in one polarization is generated by an orthogonally polarized soliton comb and two low-noise, orthogonally polarized combs interact with each other and exist simultaneously in a single microresonator. The second comb generation is attributed to the strong cross-phase modulation with the orthogonally polarized soliton comb and the high peak power of the intracavity soliton pulse. Experimental results show that a second 1 frequency comb is excited even when a continuous wave light as a "seed"—with power as low as 0.1 mW—is input, while its own power level is below the threshold of comb generation. -
Frequency Microcomb Stabilization Via Dual-Microwave Control
ARTICLE https://doi.org/10.1038/s42005-021-00573-9 OPEN Frequency microcomb stabilization via dual- microwave control ✉ ✉ Abhinav Kumar Vinod1,3 , Shu-Wei Huang1 , Jinghui Yang 1, Mingbin Yu2, Dim-Lee Kwong2 & ✉ Chee Wei Wong1 Optical frequency comb technology has been the cornerstone for scientific breakthroughs in precision metrology. In particular, the unique phase-coherent link between microwave and optical frequencies solves the long-standing puzzle of precision optical frequency synthesis. While the current bulk mode-locked laser frequency comb has had great success in extending the scientific frontier, its use in real-world applications beyond the laboratory setting remains 1234567890():,; an unsolved challenge due to the relatively large size, weight and power consumption. Recently microresonator-based frequency combs have emerged as a candidate solution with chip-scale implementation and scalability. The wider-system precision control and stabili- zation approaches for frequency microcombs, however, requires external nonlinear processes and multiple peripherals which constrain their application space. Here we demonstrate an internal phase-stabilized frequency microcomb that does not require nonlinear second-third harmonic generation nor optical external frequency references. We demonstrate that the optical frequency can be stabilized by control of two internally accessible parameters: an intrinsic comb offset ξ and the comb spacing frep. Both parameters are phase-locked to microwave references, with phase noise residuals of 55 and 20 mrad respectively, and the resulting comb-to-comb optical frequency uncertainty is 80 mHz or less. Out-of-loop mea- surements confirm good coherence and stability across the comb, with measured optical frequency instability of 2 × 10−11 at 20-second gate time. -
Smooth Coherent Kerr Frequency Combs Generation with Broadly Tunable Pump by Higher Order Mode Suppression
Smooth coherent Kerr frequency combs generation with broadly tunable pump by higher order mode suppression S.-W. Huang1*+, H. Liu1+, J. Yang1, M. Yu2, D.-L. Kwong2, and C. W. Wong1* 1Mesoscopic Optics and Quantum Electronics Laboratory, University of California Los Angeles, CA, USA 2Institute of Microelectronics, Singapore, Singapore *[email protected], [email protected] +these authors contributed equally to this work High-Q microresonator has been suggested a promising platform for optical frequency comb generation, via dissipative soliton formation. To achieve a higher Q and obtain the necessary anomalous dispersion, Si3N4 microresonators made of multi-mode waveguides were previously implemented. However, coupling between different transverse mode families in the multi-mode waveguides results in periodic disruption of dispersion and quality factor, introducing perturbation to dissipative soliton formation and amplitude modulation to the corresponding spectrum. Careful choice of pump wavelength to avoid the mode crossing region is thus critical in conventional Si3N4 microresonators. Here, we report a novel design of Si3N4 microresonator such that single mode operation, high quality factor, and anomalous dispersion are attained simultaneously. The microresonator is consisted of uniform single mode waveguides in the semi-circle region, to eliminate bending induced mode coupling, and adiabatically tapered waveguides in the straight region, to avoid excitation of higher order modes. The intrinsic Q of the microresonator reaches 1.36×106 while the GVD remains to be anomalous at -50 fs2/mm. We demonstrate, with 1 this novel microresonator, broadband phase-locked Kerr frequency combs with flat and smooth spectra can be generated by pumping at any resonances in the optical C-band. -
Photonic-Crystal-Reflector Nanoresonators for Kerr-Frequency
Article Cite This: ACS Photonics XXXX, XXX, XXX−XXX pubs.acs.org/journal/apchd5 Photonic-Crystal-Reflector Nanoresonators for Kerr-Frequency Combs † ‡ † ‡ ¶ † ‡ § † ‡ Su-Peng Yu,*, , Hojoong Jung, , , Travis C. Briles, , Kartik Srinivasan, and Scott B. Papp , † Time and Frequency Division, NIST, Boulder, Colorado 80305, United States ‡ Department of Physics, University of Colorado, Boulder, Colorado 80309, United States § Microsystems and Nanotechnology Division, NIST, Gaithersburg, Maryland 20899, United States ABSTRACT: We demonstrate Kerr-frequency-comb gener- ation with nanofabricated Fabry−Perot resonators, which are formed with photonic-crystal-reflector (PCR) mirrors. The PCR group-velocity dispersion (GVD) is engineered to counteract the strong normal GVD of a rectangular wave- guide, fabricated on a thin, 450 nm silicon nitride device layer. The reflectors enable resonators with both high optical quality factor and anomalous GVD, which are required for Kerr-comb generation. We report design, fabrication, and characterization of devices in the 1550 nm wavelength bands. Kerr-comb generation is achieved by exciting the devices with a continuous-wave laser. The versatility of PCRs enables a general design principle and a material-independent device infrastructure for Kerr-nonlinear-resonator processes, opening new possibilities for manipulation of light. Visible and multispectral-band resonators appear to be natural extensions of the PCR approach. KEYWORDS: photonic crystal, microresonator, dispersion engineering, nonlinear optics, -
Kerr Microresonator Soliton Frequency Combs at Cryogenic Temperatures
Kerr Microresonator Soliton Frequency Combs at Cryogenic Temperatures Gregory Moille,1, 2, ∗ Xiyuan Lu,1, 2 Ashutosh Rao,1, 2 Qing Li,1, 2, 3 Daron A. Westly,1 Leonardo Ranzani,4 Scott B. Papp,5, 6 Mohammad Soltani,4 and Kartik Srinivasan1, 7, y 1Microsystems and Nanotechnology Division, National Institute of Standards and Technology, Gaithersburg, MD 20899, USA 2Institute for Research in Electronics and Applied Physics and Maryland Nanocenter, University of Maryland,College Park, Maryland 20742, USA 3Electrical and Computer Engineering, Carnegie Mellon University, Pittsburgh, PA 15213, USA 4Raytheon BBN Technologies, 10 Moulton Street, Cambridge, MA, 02138, USA 5Time and Frequency Division, National Institute of Standards and Technology, 385 Broadway, Boulder, CO 80305, USA 6Department of Physics, University of Colorado, Boulder, Colorado, 80309, USA 7Joint Quantum Institute, NIST/University of Maryland, College Park, Maryland 20742, USA (Dated: February 19, 2020) We investigate the accessibility and projected low-noise performance of single soliton Kerr fre- quency combs in silicon nitride microresonators enabled by operating at cryogenic temperatures as low as 7 K. The resulting two orders of magnitude reduction in the thermo-refractive coefficient relative to room-temperature enables direct access to single bright Kerr soliton states through adia- batic frequency tuning of the pump laser while remaining in thermal equilibrium. Our experimental results, supported by theoretical modeling, show that single solitons are easily accessible at tem- peratures below 60 K for the microresonator device under study. We further demonstrate that the cryogenic temperature primarily impacts the thermo-refractive coefficient. Other parameters critical to the generation of solitons, such as quality factor, dispersion, and effective nonlinearity, are unaltered. -
Photonic Chip-Based Resonant Supercontinuum Via Pulse-Driven Kerr Microresonator Solitons Miles H
Research Article Vol. 8, No. 6 / June 2021 / Optica 771 Photonic chip-based resonant supercontinuum via pulse-driven Kerr microresonator solitons Miles H. Anderson,1 Romain Bouchand,1 Junqiu Liu,1 Wenle Weng,1 Ewelina Obrzud,2,3 Tobias Herr,4 AND Tobias J. Kippenberg1,* 1Institute of Physics, Swiss Federal Institute of Technology (EPFL), Lausanne, Switzerland 2Swiss Center for Electronics and Microtechnology (CSEM), Time and Frequency, Neuchâtel, Switzerland 3Department of Astronomy & Geneva Observatory/PlanetS, University of Geneva, Versoix, Switzerland 4Center for Free-Electron Laser Science (CFEL), Deutsches Elektronen-Synchrotron (DESY), Hamburg, Germany *Corresponding author: [email protected] Received 20 July 2020; revised 10 November 2020; accepted 15 April 2021 (Doc. ID 403302); published 24 May 2021 Supercontinuum generation and soliton microcomb formation both represent key techniques for the formation of coherent, ultrabroad optical frequency combs, enabling the RF-to-optical link. Coherent supercontinuum generation typically relies on ultrashort pulses with kilowatt peak power as a source, and so are often restricted to repetition rates less than 1 GHz. Soliton microcombs, conversely, have an optical conversion efficiency that is best at ultrahigh repetition rates such as 1 THz. Neither technique easily approaches the microwave domain, i.e., 10 s of GHz, while maintaining an ultrawide spectrum. Here, we bridge the efficiency gap between the two approaches in the form of resonant supercontin- uum generation by driving a dispersion-engineered photonic-chip-based microresonator with picosecond pulses of the order of 1-W peak power. We generate a smooth 2200-line soliton-based comb at an electronically detectable 28 GHz repetition rate. -
High Spectral Purity Kerr Frequency Comb Radio Frequency Photonic Oscillator
ARTICLE Received 5 Sep 2014 | Accepted 1 Jul 2015 | Published 11 Aug 2015 DOI: 10.1038/ncomms8957 OPEN High spectral purity Kerr frequency comb radio frequency photonic oscillator W. Liang1, D. Eliyahu1, V.S. Ilchenko1, A.A. Savchenkov1, A.B. Matsko1, D. Seidel1 & L. Maleki1 Femtosecond laser-based generation of radio frequency signals has produced astonishing improvements in achievable spectral purity, one of the basic features characterizing the performance of an radio frequency oscillator. Kerr frequency combs hold promise for trans- forming these lab-scale oscillators to chip-scale level. In this work we demonstrate a min- iature 10 GHz radio frequency photonic oscillator characterized with phase noise better than À 60 dBc Hz À 1 at 10 Hz, À 90 dBc Hz À 1 at 100 Hz and À 170 dBc Hz À 1 at 10 MHz. The frequency stability of this device, as represented by Allan deviation measurements, is at the level of 10 À 10 at 1–100 s integration time—orders of magnitude better than existing radio frequency photonic devices of similar size, weight and power consumption. 1 OEwaves Inc., 465 North Halstead Street, Suite 140, Pasadena, California 91107, USA. Correspondence and requests for materials should be addressed to A.B.M. (email: [email protected]). NATURE COMMUNICATIONS | 6:7957 | DOI: 10.1038/ncomms8957 | www.nature.com/naturecommunications 1 & 2015 Macmillan Publishers Limited. All rights reserved. ARTICLE NATURE COMMUNICATIONS | DOI: 10.1038/ncomms8957 ith the recent exponential growth of communications phase-locked lasers, with their output frequency limited only by data, the available frequency bands are crowded, the bandwidth of the detector. -
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.