SYNCHROTRON RADIATION
|
|
- Joleen Cameron
- 5 years ago
- Views:
Transcription
1 SYNCHROTRON RADIATION Lenny Rivkin Paul Scherrer Institute, Switzerland ICTP SCHOOL ON SYNCHROTRON RADIATION AND APPLICATIONS Trieste, Italy, May 2006
2 Useful books and references A. Hofmann, The Physics of Synchrotron Radiation Cambridge University Press 2004 H. Wiedemann, Synchrotron Radiation Springer-Verlag Berlin Heidelberg 2003 H. Wiedemann, Particle Accelerator Physics I and II Springer Study Edition, 2003 A. W. Chao, M. Tigner, Handbook of Accelerator Physics and Engineering, World Scientific 1999
3 CERN Accelerator School Proceedings Synchrotron Radiation and Free Electron Lasers Grenoble, France, April 1996 (A. Hofmann s lectures on synchrotron radiation) CERN Yellow Report Brunnen, Switzerland, 2 9 July 2003 CERN Yellow Report
4 SYNCHROTRON RADIATION
5 Curved orbit of electrons in magnet field Accelerated charge Electromagnetic radiation
6 Crab Nebula 6000 light years away GE Synchrotron New York State First light observed 1054 AD First light observed 1947
7 users world-wide
8 THEORETICAL UNDERSTANDING 1873 Maxwell s equations made evident that changing charge densities would result in electric fields that would radiate outward 1887 Heinrich Hertz demonstrated such waves:.. this is of no use whatsoever!
9 Maxwell equations (poetry) War es ein Gott, der diese Zeichen schrieb Die mit geheimnisvoll verborg nem Trieb Die Kräfte der Natur um mich enthüllen Und mir das Herz mit stiller Freude füllen. Ludwig Boltzman Was it a God whose inspiration Led him to write these fine equations Nature s fields to me he shows And so my heart with pleasure glows. translated by John P. Blewett
10 Why do they radiate? Charge at rest: Coulomb field, no radiation Uniformly moving charge does not radiate (but! Cerenkov!) v = const. Accelerated charge
11 Bremsstrahlung or breaking radiation
12 1898 Liénard: ELECTRIC AND MAGNETIC FIELDS PRODUCED BY A POINT CHARGE MOVING ON AN ARBITRARY PATH (by means of retarded potentials)
13 Liénard-Wiechert potentials ϕ t = 1 4πε 0 q r 1 n β ret A t = q 4πε 0 c 2 v r 1 n β ret and the electromagnetic fields: A + 1 c 2 ϕ t =0 (Lorentz gauge) B = A E = ϕ A t
14 Fields of a moving charge E t = q 4πε 0 n β 1 n β 3 γ 2 1 r 2 ret + q 4πε 0 c n n β β 1 n β 3 γ 2 1 r ret B t = 1 c n E
15 Transverse acceleration a v Radiation field quickly separates itself from the Coulomb field
16 Longitudinal acceleration a Radiation field cannot separate itself from the Coulomb field v
17 Moving Source of Waves
18 Time compression Electron with velocity β emits a wave with period T emit while the observer sees a different period T obs because the electron was moving towards the observer n θ β The wavelength is shortened by the same factor λ obs = ( 1 β cosθ ) λ emit in ultra-relativistic case, looking along a tangent to the trajectory since λ obs = 1 2γ 2λ emit T = ( 1 n β) obs T emit 1 β = 1 β2 1+β 1 2γ 2
19 Radiation is emitted into a narrow cone θ e v ~ c θ = 1 γ θ e θ v << c v c
20 Synchrotron radiation power Power emitted is proportional to: P E 2 B 2 P γ = cc γ E 2π ρ 4 2 C γ = 4π 3 r e 5 = m 2 3 m e c GeV 3
21 The power is all too real! P γ = cc γ E 2π ρ 4 2
22 Synchrotron radiation power Power emitted is proportional to: P E 2 B 2 P γ = 4 ccγ E 2 2π ρ P γ 2 = αhc γ 2 ρ C γ = 4π 3 r e 5 = m 2 3 m e c GeV 3 α = Energy loss per turn: hc = 197 Mev fm U 0 =C γ E4 ρ U 0 = 4π 3 αhcγ 4 ρ
23 Typical frequency of synchrotron light Due to extreme collimation of light observer sees only a small portion of electron trajectory (a few mm) l ~ 2ρ γ 1/γ Pulse length: difference in times it takes an electron and a photon to cover this distance Δt ~ l βc l c = l βc 1 β ω ~ 1 Δt ~ γ 3 ω 0 Δt ~ 2ρ γ c 1 2γ 2
24 Spectrum of synchrotron radiation Synchrotron light comes in a series of flashes every T 0 (revolution period) T 0 the spectrum consists of harmonics of ω 0 = 1 T 0 time flashes are extremely short: harmonics reach up to very high frequencies At high frequencies the individual harmonics overlap ω 3 typ γ ω0 ω ~ 1 γ ~ 4000 ω typ continuous spectrum! ~ 10 MHz 16 Hz! 0
25 dp dω = P tot ω c S ω ω c Sx = 9 3 8π x K5 5 3 x dx x 0 Sx dx =1 P tot = 2 3 hc2 α γ4 ω c = 3 2 cγ 3 ρ ρ ~ 2.1x 1 3 G 1 x =x K 5 3 x dx x ε c ev = 665 E 2 GeV BT 50% ~ 1.3 xe x x = ω/ω c
26 Synchrotron radiation flux for different LEP energies LEP Dipole Flux I = 1 ma 100 GeV Flux [photons/s/mrad/0.1%bw] GeV 50 GeV Photon energy [ev] Flux photons s mrad 0.1%BW = E[GeV] I[A]G 1 x
27 Polarisation Synchrotron radiation observed in the plane of the particle orbit is horizontally polarized, i.e. the electric field vector is horizontal Observed out of the horizontal plane, the radiation is elliptically polarized E E
28 x Polarisation: spectral distribution dp = dω Ptot ω c S x = Ptot ω S ( ) [ ( ) ( )] c σ x + S π x 7 S σ = 8 S 3:1 1 S π = 8 S
29 Angular divergence of radiation at the critical frequency γθ well below γθ ω = 0. 2ω c well above ω = 2ω c γθ
30 Angular divergence of radiation The rms opening angle R at the critical frequency: ω = ω c R 0.54 γ well below ω «ω c R 1 γ ω c ω λ ρ independent of γ! 1 3 well above ω» ω c R 0.6 γ ω c ω 1 2
31 END
SYNCHROTRON RADIATION
SYNCHROTRON RADIATION Lenny Rivkin Ecole Polythechnique Federale de Lausanne (EPFL) and Paul Scherrer Institute (PSI), Switzerland Introduction to Accelerator Physics Course CERN Accelerator School, Zakopane,
More informationSynchrotron Radiation An Introduction. L. Rivkin Swiss Light Source
Synchrotron Radiation An Introduction L. Rivkin Swiss Light Source Some references CAS Proceedings CAS - CERN Accelerator School: Synchrotron Radiation and Free Electron Lasers, Grenoble, France, 22-27
More informationSYNCHROTRON RADIATION
SYNCHROTRON RADIATION Lenny Rivkin Ecole Polythechnique Federale de Lausanne (EPFL) and Paul Scherrer Institute (PSI), Switzerland CERN Accelerator School: Introduction to Accelerator Physics November
More informationSynchrotron Radiation
Synchrotron Radiation Lenny Rivkin Paul Scherrer Institute (PSI) and Swiss Federal Institute of Technology Lausanne (EPFL) Synchrotron Radiation, L. Rivkin, CAS on FELs and ERLs, 1.06.16, Hamburg Click
More informationELECTRON DYNAMICS with SYNCHROTRON RADIATION
ELECTRON DYNAMICS with SYNCHROTRON RADIATION Lenny Rivkin École Polythechnique Fédérale de Lausanne (EPFL) and Paul Scherrer Institute (PSI), Switzerland CERN Accelerator School: Introduction to Accelerator
More informationSynchrotron Radiation Reflection from Outer Wall of Vacuum Chamber
, YerPhI Synchrotron Radiation Reflection from Outer Wall of Vacuum Chamber M.A. Aginian, S.G. Arutunian, E.G.Lazareva, A.V. Margaryan Yerevan Physics Institute The presentation is devoted to the eightieth
More informationLight Source I. Takashi TANAKA (RIKEN SPring-8 Center) Cheiron 2012: Light Source I
Light Source I Takashi TANAKA (RIKEN SPring-8 Center) Light Source I Light Source II CONTENTS Introduction Fundamentals of Light and SR Overview of SR Light Source Characteristics of SR (1) Characteristics
More informationSynchrotron radiation: A charged particle constrained to move in curved path experiences a centripetal acceleration. Due to it, the particle radiates
Synchrotron radiation: A charged particle constrained to move in curved path experiences a centripetal acceleration. Due to it, the particle radiates energy according to Maxwell equations. A non-relativistic
More information1. (16) A point charge e moves with velocity v(t) on a trajectory r(t), where t is the time in some lab frame.
Electrodynamics II Exam 3. Part A (120 pts.) Closed Book Radiation from Acceleration Name KSU 2016/05/10 14:00-15:50 Instructions: Some small derivations here, state your responses clearly, define your
More informationELECTRON DYNAMICS WITH SYNCHROTRON RADIATION
ELECTRON DYNAMICS WITH SYNCHROTRON RADIATION Lenny Rivkin Ecole Polythechnique Federale de Lausanne (EPFL) and Paul Scherrer Institute (PSI), Switzerland CERN Accelerator School: Introduction to Accelerator
More informationIntroduction to electron and photon beam physics. Zhirong Huang SLAC and Stanford University
Introduction to electron and photon beam physics Zhirong Huang SLAC and Stanford University August 03, 2015 Lecture Plan Electron beams (1.5 hrs) Photon or radiation beams (1 hr) References: 1. J. D. Jackson,
More informationLecture 21 April 15, 2010
Lecture 21 April 15, 2010 We found that the power radiated by a relativistic particle is given by Liénard, P = 2 q 2 [ 3 c γ6 β ) 2 β ] β ) 2. This is an issue for high-energy accelerators. There are two
More information- Potentials. - Liénard-Wiechart Potentials. - Larmor s Formula. - Dipole Approximation. - Beginning of Cyclotron & Synchrotron
- Potentials - Liénard-Wiechart Potentials - Larmor s Formula - Dipole Approximation - Beginning of Cyclotron & Synchrotron Maxwell s equations in a vacuum become A basic feature of these eqns is the existence
More informationr,t r R Z j ³ 0 1 4π² 0 r,t) = 4π
5.4 Lienard-Wiechert Potential and Consequent Fields 5.4.1 Potential and Fields (chapter 10) Lienard-Wiechert potential In the previous section, we studied the radiation from an electric dipole, a λ/2
More informationChapter 2 Undulator Radiation
Chapter 2 Undulator Radiation 2.1 Magnetic Field of a Planar Undulator The motion of an electron in a planar undulator magnet is shown schematically in Fig. 2.1. The undulator axis is along the direction
More informationSynchrotron radiation: A charged particle constrained to move in curved path experiences a centripetal acceleration. Due to this acceleration, the
Synchrotron radiation: A charged particle constrained to move in curved path experiences a centripetal acceleration. Due to this acceleration, the particle radiates energy according to Maxwell equations.
More informationInsertion Devices Lecture 2 Wigglers and Undulators. Jim Clarke ASTeC Daresbury Laboratory
Insertion Devices Lecture 2 Wigglers and Undulators Jim Clarke ASTeC Daresbury Laboratory Summary from Lecture #1 Synchrotron Radiation is emitted by accelerated charged particles The combination of Lorentz
More informationno incoming fields c D r
A x 4 D r xx ' J x ' d 4 x ' no incoming fields c D r xx ' : the retarded Green function e U x 0 r 0 xr d J e c U 4 x ' r d xr 0 0 x r x x xr x r xr U f x x x i d f d x x xi A x e U Ux r 0 Lienard - Wiechert
More informationMaxwell s equations and EM waves. From previous Lecture Time dependent fields and Faraday s Law
Maxwell s equations and EM waves This Lecture More on Motional EMF and Faraday s law Displacement currents Maxwell s equations EM Waves From previous Lecture Time dependent fields and Faraday s Law 1 Radar
More informationParticle Accelerators
Experimental Methods of Particle Physics Particle Accelerators Andreas Streun, PSI andreas.streun@psi.ch https://ados.web.psi.ch/empp-streun Andreas Streun, PSI 1 Particle Accelerators 1. Introduction
More informationClassical Field Theory
April 13, 2010 Field Theory : Introduction A classical field theory is a physical theory that describes the study of how one or more physical fields interact with matter. The word classical is used in
More informationLow Emittance Machines
CERN Accelerator School Advanced Accelerator Physics Course Trondheim, Norway, August 2013 Low Emittance Machines Part 1: Beam Dynamics with Synchrotron Radiation Andy Wolski The Cockcroft Institute, and
More informationResearch with Synchrotron Radiation. Part I
Research with Synchrotron Radiation Part I Ralf Röhlsberger Generation and properties of synchrotron radiation Radiation sources at DESY Synchrotron Radiation Sources at DESY DORIS III 38 beamlines XFEL
More informationX-ray non-resonant and resonant magnetic scattering Laurent C. Chapon, Diamond Light Source. European School on Magnetism L. C.
X-ray non-resonant and resonant magnetic scattering Laurent C. Chapon, Diamond Light Source 1 The Diamond synchrotron 3 GeV, 300 ma Lienard-Wiechert potentials n.b: Use S.I units throughout. rq : position
More informationRadiation by Moving Charges
May 27, 2008 1 1 J.D.Jackson, Classical Electrodynamics, 3rd Edition, Chapter 14 Liénard - Wiechert Potentials The Liénard-Wiechert potential describes the electromagnetic effect of a moving charge. Built
More informationAccelerator Physics. Lecture 13. Synchrotron Radiation Basics Free Electron Laser Applications + Facilities. Accelerator Physics WS 2012/13
Accelerator Physics Lecture 13 Synchrotron Radiation Basics Free Electron Laser Applications + Facilities 1 Synchrotron Radiation Atomic Physics Chemistry (Micro-)Biology Solid State Physics Medical Research
More information3. Synchrotrons. Synchrotron Basics
1 3. Synchrotrons Synchrotron Basics What you will learn about 2 Overview of a Synchrotron Source Losing & Replenishing Electrons Storage Ring and Magnetic Lattice Synchrotron Radiation Flux, Brilliance
More information2. X-ray Sources 2.1 Electron Impact X-ray Sources - Types of X-ray Source - Bremsstrahlung Emission - Characteristic Emission
. X-ray Sources.1 Electron Impact X-ray Sources - Types of X-ray Source - Bremsstrahlung Emission - Characteristic Emission. Synchrotron Radiation Sources - Introduction - Characteristics of Bending Magnet
More informationInvestigation of the Feasibility of a Free Electron Laser for the Cornell Electron Storage Ring and Linear Accelerator
Investigation of the Feasibility of a Free Electron Laser for the Cornell Electron Storage Ring and Linear Accelerator Marty Zwikel Department of Physics, Grinnell College, Grinnell, IA, 50 Abstract Free
More informationRadiative Processes in Astrophysics
Radiative Processes in Astrophysics 9. Synchrotron Radiation Eline Tolstoy http://www.astro.rug.nl/~etolstoy/astroa07/ Useful reminders relativistic terms, and simplifications for very high velocities
More informationPhase Space Study of the Synchrotron Oscillation and Radiation Damping of the Longitudinal and Transverse Oscillations
ScienceAsia 28 (2002 : 393-400 Phase Space Study of the Synchrotron Oscillation and Radiation Damping of the Longitudinal and Transverse Oscillations Balabhadrapatruni Harita*, Masumi Sugawara, Takehiko
More informationCLASSICAL ELECTRICITY
CLASSICAL ELECTRICITY AND MAGNETISM by WOLFGANG K. H. PANOFSKY Stanford University and MELBA PHILLIPS Washington University SECOND EDITION ADDISON-WESLEY PUBLISHING COMPANY Reading, Massachusetts Menlo
More informationElectromagnetic Theory
Summary: Electromagnetic Theory Maxwell s equations EM Potentials Equations of motion of particles in electromagnetic fields Green s functions Lienard-Weichert potentials Spectral distribution of electromagnetic
More informationRadiation from a Moving Charge
Radiation from a Moving Charge 1 The Lienard-Weichert radiation field For details on this theory see the accompanying background notes on electromagnetic theory (EM_theory.pdf) Much of the theory in this
More informationLow Emittance Machines
Advanced Accelerator Physics Course RHUL, Egham, UK September 2017 Low Emittance Machines Part 1: Beam Dynamics with Synchrotron Radiation Andy Wolski The Cockcroft Institute, and the University of Liverpool,
More informationLorentz Force. Acceleration of electrons due to the magnetic field gives rise to synchrotron radiation Lorentz force.
Set 10: Synchrotron Lorentz Force Acceleration of electrons due to the magnetic field gives rise to synchrotron radiation Lorentz force 0 E x E y E z dp µ dτ = e c F µ νu ν, F µ E x 0 B z B y ν = E y B
More informationFundamentals of Accelerators
Fundamentals of Accelerators - 2015 Lecture 9 - Synchrotron Radiation William A. Barletta Director, Dept. of Physics, MIT Economics Faculty, University of Ljubljana Photon energy to frequency conversion
More informationRADIATION SOURCES AT SIBERIA-2 STORAGE RING
RADIATION SOURCES AT SIBERIA-2 STORAGE RING V.N. Korchuganov, N.Yu. Svechnikov, N.V. Smolyakov, S.I. Tomin RRC «Kurchatov Institute», Moscow, Russia Kurchatov Center Synchrotron Radiation undulator undulator
More informationSynchrotron Radiation: II. Spectrum
Synchrotron Radiation: II. Spectrum Massimo Ricotti ricotti@astro.umd.edu University of Maryland Synchrotron Radiation: II. Spectrum p.1/18 ds=v dt_em dt=ds cos(theta)/c=v/c cos(theta)dt_em Synchrotron
More information- Synchrotron emission: A brief history. - Examples. - Cyclotron radiation. - Synchrotron radiation. - Synchrotron power from a single electron
- Synchrotron emission: A brief history - Examples - Cyclotron radiation - Synchrotron radiation - Synchrotron power from a single electron - Relativistic beaming - Relativistic Doppler effect - Spectrum
More informationIntroduction to Accelerators. Scientific Tools for High Energy Physics and Synchrotron Radiation Research
Introduction to Accelerators. Scientific Tools for High Energy Physics and Synchrotron Radiation Research Pedro Castro Introduction to Particle Accelerators DESY, July 2010 What you will see Pedro Castro
More informationCharacteristics and Properties of Synchrotron Radiation
Characteristics and Properties of Synchrotron Radiation Giorgio Margaritondo Vice-président pour les affaires académiques Ecole Polytechnique Fédérale de Lausanne (EPFL) Outline: How to build an excellent
More informationIntroduction to Accelerators
Introduction to Accelerators D. Brandt, CERN CAS Platja d Aro 2006 Introduction to Accelerators D. Brandt 1 Why an Introduction? The time where each accelerator sector was working alone in its corner is
More informationFundamental Concepts of Particle Accelerators V : Future of the High Energy Accelerators. Koji TAKATA KEK. Accelerator Course, Sokendai
.... Fundamental Concepts of Particle Accelerators V : Future of the High Energy Accelerators Koji TAKATA KEK koji.takata@kek.jp http://research.kek.jp/people/takata/home.html Accelerator Course, Sokendai
More informationElectromagnetic Radiation from Relativistic Electron Beams
Electromagnetic Radiation from Relativistic Electron Beams Helmut Wiedemann Stanford University April 2000 Abstract These notes represent an introduction to the physics of synchrotron radiation. Such radiation
More information1 Monday, November 7: Synchrotron Radiation for Beginners
1 Monday, November 7: Synchrotron Radiation for Beginners An accelerated electron emits electromagnetic radiation. The most effective way to accelerate an electron is to use electromagnetic forces. Since
More informationChapter 2 Radiation of an Accelerated Charge
Chapter 2 Radiation of an Accelerated Charge Whatever the energy source and whatever the object, (but with the notable exception of neutrino emission that we will not consider further, and that of gravitational
More informationPulsars. The maximum angular frequency of a spinning star can be found by equating the centripetal and gravitational acceleration M R 2 R 3 G M
Pulsars Pulsating stars were discovered in 1967 via radio dipole antennae by Jocelyn Bell and Anthony Hewish Pulse period of PSR 1919+21 is 1.337 s Most pulsars have periods between 0.25 s and 2 s The
More informationSLAC Summer School on Electron and Photon Beams. Tor Raubenheimer Lecture #2: Inverse Compton and FEL s
SLAC Summer School on Electron and Photon Beams Tor Raubenheimer Lecture #: Inverse Compton and FEL s Outline Synchrotron radiation Bending magnets Wigglers and undulators Inverse Compton scattering Free
More informationA Superfluid Universe
Dark Energy and Dark matter in A Superfluid Universe Kerson Huang Physics Department, MIT, Cambridge, USA Institute of Advanced Studies, NTU, Singapore 1 Dr. Johann Faust (Heidelberg 1509) 2 From Goethe
More informationFundamental Concepts of Particle Accelerators III : High-Energy Beam Dynamics (2) Koji TAKATA KEK. Accelerator Course, Sokendai. Second Term, JFY2012
.... Fundamental Concepts of Particle Accelerators III : High-Energy Beam Dynamics (2) Koji TAKATA KEK koji.takata@kek.jp http://research.kek.jp/people/takata/home.html Accelerator Course, Sokendai Second
More informationUndulator Radiation Inside a Dielectric Waveguide
Undulator Radiation Inside a Dielectric Waveguide A.S. Kotanjyan Department of Physics, Yerevan State University Yerevan, Armenia Content Motivation On features of the radiation from an electron moving
More informationContents. LC : Linear Collider. µ-µ Collider. Laser-Plasma Wave Accelerator. Livingston Chart 6 References
.... Fundamental Concepts of Particle Accelerators V : Future of the High Energy Accelerators VI : References Koji TAKATA KEK koji.takata@kek.jp http://research.kek.jp/people/takata/home.html Accelerator
More informationRadiative Processes in Astrophysics. Lecture 9 Nov 13 (Wed.), 2013 (last updated Nov. 13) Kwang-Il Seon UST / KASI
Radiative Processes in Astrophysics Lecture 9 Nov 13 (Wed.), 013 (last updated Nov. 13) Kwang-Il Seon UST / KASI 1 Equation of Motion Equation of motion of an electron in a uniform magnetic field: Solution:
More informationAccelerator Physics Homework #3 P470 (Problems: 1-5)
Accelerator Physics Homework #3 P470 (Problems: -5). Particle motion in the presence of magnetic field errors is (Sect. II.2) y + K(s)y = B Bρ, where y stands for either x or z. Here B = B z for x motion,
More informationLienard-Wiechert for constant velocity
Problem 1. Lienard-Wiechert for constant velocity (a) For a particle moving with constant velocity v along the x axis show using Lorentz transformation that gauge potential from a point particle is A x
More informationFundamental Concepts of Particle Accelerators V: Future of the High Energy Accelerators VI: References. Koji TAKATA KEK. Accelerator Course, Sokendai
.... Fundamental Concepts of Particle Accelerators V: Future of the High Energy Accelerators VI: References Koji TAKATA KEK koji.takata@kek.jp http://research.kek.jp/people/takata/home.html Accelerator
More informationThe Larmor Formula (Chapters 18-19)
2017-02-28 Dispersive Media, Lecture 12 - Thomas Johnson 1 The Larmor Formula (Chapters 18-19) T. Johnson Outline Brief repetition of emission formula The emission from a single free particle - the Larmor
More informationAccelerator Physics NMI and Synchrotron Radiation. G. A. Krafft Old Dominion University Jefferson Lab Lecture 16
Accelerator Physics NMI and Synchrotron Radiation G. A. Krafft Old Dominion University Jefferson Lab Lecture 16 Graduate Accelerator Physics Fall 17 Oscillation Frequency nq I n i Z c E Re Z 1 mode has
More informationFinal Exam - Solutions PHYS/ECE Fall 2011
Final Exam - Solutions PHYS/ECE 34 - Fall 211 Problem 1 Cosmic Rays The telescope array project in Millard County, UT can detect cosmic rays with energies up to E 1 2 ev. The cosmic rays are of unknown
More informationLecture 13 Interstellar Magnetic Fields
Lecture 13 Interstellar Magnetic Fields 1. Introduction. Synchrotron radiation 3. Faraday rotation 4. Zeeman effect 5. Polarization of starlight 6. Summary of results References Zweibel & Heiles, Nature
More informationX-ray Free-electron Lasers
X-ray Free-electron Lasers Ultra-fast Dynamic Imaging of Matter II Ischia, Italy, 4/30-5/3/ 2009 Claudio Pellegrini UCLA Department of Physics and Astronomy Outline 1. Present status of X-ray free-electron
More informationAn Introduction to Particle Accelerators. v short
An Introduction to Particle Accelerators v1.42 - short LHC FIRST BEAM 10-sep-2008 Introduction Part 1 Particle accelerators for HEP LHC: the world biggest accelerator, both in energy and size (as big as
More informationSynchrotron radiation
Synchrotron radiation When a particle with velocity v is deflected it emits radiation : the synchrotron radiation. Relativistic particles emits in a characteristic cone 1/g The emitted power is strongly
More informationTransverse dynamics Selected topics. Erik Adli, University of Oslo, August 2016, v2.21
Transverse dynamics Selected topics Erik Adli, University of Oslo, August 2016, Erik.Adli@fys.uio.no, v2.21 Dispersion So far, we have studied particles with reference momentum p = p 0. A dipole field
More informationRadiative processes from energetic particles II: Gyromagnetic radiation
Hale COLLAGE 2017 Lecture 21 Radiative processes from energetic particles II: Gyromagnetic radiation Bin Chen (New Jersey Institute of Technology) e - Shibata et al. 1995 e - magnetic reconnection Previous
More informationChapter 1. From Classical to Quantum Mechanics
Chapter 1. From Classical to Quantum Mechanics Classical Mechanics (Newton): It describes the motion of a classical particle (discrete object). dp F ma, p = m = dt dx m dt F: force (N) a: acceleration
More informationCERN Accelerator School. Intermediate Accelerator Physics Course Chios, Greece, September Low Emittance Rings
CERN Accelerator School Intermediate Accelerator Physics Course Chios, Greece, September 2011 Low Emittance Rings Part 1: Beam Dynamics with Synchrotron Radiation Andy Wolski The Cockcroft Institute, and
More informationSynchrotron Radiation. How is synchrotron light made? by accelerating electrons
Synchrotron Radiation How is synchrotron light made? by accelerating electrons Electromagnetic Radiation Electrons accelerating by running up and down in a radio antenna emit radio waves Radio waves are
More information3. Particle-like properties of E&M radiation
3. Particle-like properties of E&M radiation 3.1. Maxwell s equations... Maxwell (1831 1879) studied the following equations a : Gauss s Law of Electricity: E ρ = ε 0 Gauss s Law of Magnetism: B = 0 Faraday
More informationCONCEPTUAL STUDY OF A SELF-SEEDING SCHEME AT FLASH2
CONCEPTUAL STUDY OF A SELF-SEEDING SCHEME AT FLASH2 T. Plath, L. L. Lazzarino, Universität Hamburg, Hamburg, Germany K. E. Hacker, T.U. Dortmund, Dortmund, Germany Abstract We present a conceptual study
More informationSpecial Relativity and Electromagnetism
1/32 Special Relativity and Electromagnetism Jonathan Gratus Cockcroft Postgraduate Lecture Series October 2016 Introduction 10:30 11:40 14:00? Monday SR EM Tuesday SR EM Seminar Four lectures is clearly
More informationChapter 11. Vibrations and Waves
Chapter 11 Vibrations and Waves Driven Harmonic Motion and Resonance RESONANCE Resonance is the condition in which a time-dependent force can transmit large amounts of energy to an oscillating object,
More informationFree-electron laser SACLA and its basic. Yuji Otake, on behalf of the members of XFEL R&D division RIKEN SPring-8 Center
Free-electron laser SACLA and its basic Yuji Otake, on behalf of the members of XFEL R&D division RIKEN SPring-8 Center Light and Its Wavelength, Sizes of Material Virus Mosquito Protein Bacteria Atom
More informationTheory English (Official)
Q3-1 Large Hadron Collider (10 points) Please read the general instructions in the separate envelope before you start this problem. In this task, the physics of the particle accelerator LHC (Large Hadron
More informationD. Brandt, CERN. CAS Frascati 2008 Accelerators for Newcomers D. Brandt 1
Accelerators for Newcomers D. Brandt, CERN D. Brandt 1 Why this Introduction? During this school, you will learn about beam dynamics in a rigorous way but some of you are completely new to the field of
More informationNonlinear Optics (WiSe 2015/16) Lecture 12: January 15, 2016
Nonlinear Optics (WiSe 2015/16) Lecture 12: January 15, 2016 12 High Harmonic Generation 12.1 Atomic units 12.2 The three step model 12.2.1 Ionization 12.2.2 Propagation 12.2.3 Recombination 12.3 Attosecond
More informationX-ray and Gamma-ray. Emission Pulsars and Pulsar Wind Nebulae. K.S. Cheng Department of Physics University of Hong Kong Hong Kong, China
X-ray and Gamma-ray Emission Pulsars and Pulsar Wind Nebulae K.S. Cheng Department of Physics University of Hong Kong Hong Kong, China X-ray luminosity (L x ) vs spin-down power (L sd ) Becker and Trumper
More informationPhysics 221B Spring 2018 Notes 34 The Photoelectric Effect
Copyright c 2018 by Robert G. Littlejohn Physics 221B Spring 2018 Notes 34 The Photoelectric Effect 1. Introduction In these notes we consider the ejection of an atomic electron by an incident photon,
More informationECE 240a - Notes on Spontaneous Emission within a Cavity
ECE 0a - Notes on Spontaneous Emission within a Cavity Introduction Many treatments of lasers treat the rate of spontaneous emission as specified by the time constant τ sp as a constant that is independent
More informationSynchrotron radiation reaction force (Lecture 24)
Synchrotron radiation reaction force (Lecture 24) February 3, 2016 378/441 Lecture outline In contrast to the earlier section on synchrotron radiation, we compute the fields observed close to the beam.
More informationIntroduction to Longitudinal Beam Dynamics
Introduction to Longitudinal Beam Dynamics B.J. Holzer CERN, Geneva, Switzerland Abstract This chapter gives an overview of the longitudinal dynamics of the particles in an accelerator and, closely related
More informationBernhard Holzer, CERN-LHC
Bernhard Holzer, CERN-LHC * 1 ... in the end and after all it should be a kind of circular machine need transverse deflecting force Lorentz force typical velocity in high energy machines: old greek dictum
More informationin Electromagnetics Numerical Method Introduction to Electromagnetics I Lecturer: Charusluk Viphavakit, PhD
2141418 Numerical Method in Electromagnetics Introduction to Electromagnetics I Lecturer: Charusluk Viphavakit, PhD ISE, Chulalongkorn University, 2 nd /2018 Email: charusluk.v@chula.ac.th Website: Light
More informationFURTHER UNDERSTANDING THE LCLS INJECTOR EMITTANCE*
Proceedings of FEL014, Basel, Switzerland FURTHER UNDERSTANDING THE LCLS INJECTOR EMITTANCE* F. Zhou, K. Bane, Y. Ding, Z. Huang, and H. Loos, SLAC, Menlo Park, CA 9405, USA Abstract Coherent optical transition
More informationPhysics 663. Particle Physics Phenomenology. April 9, Physics 663, lecture 2 1
Physics 663 Particle Physics Phenomenology April 9, 2002 Physics 663, lecture 2 1 History Two Principles Electrostatic Cockcroft-Walton Accelerators Van de Graaff and tandem Van de Graaff Transformers
More informationLaser-driven undulator source
Laser-driven undulator source Matthias Fuchs, R. Weingartner, A.Maier, B. Zeitler, S. Becker, D. Habs and F. Grüner Ludwig-Maximilians-Universität München A.Popp, Zs. Major, J. Osterhoff, R. Hörlein, G.
More informationSOFT X-RAYS AND EXTREME ULTRAVIOLET RADIATION
SOFT X-RAYS AND EXTREME ULTRAVIOLET RADIATION Principles and Applications DAVID ATTWOOD UNIVERSITY OF CALIFORNIA, BERKELEY AND LAWRENCE BERKELEY NATIONAL LABORATORY PUBLISHED BY THE PRESS SYNDICATE OF
More informationIntroduction to accelerators for teachers (Korean program) Mariusz Sapiński CERN, Beams Department August 9 th, 2012
Introduction to accelerators for teachers (Korean program) Mariusz Sapiński (mariusz.sapinski@cern.ch) CERN, Beams Department August 9 th, 2012 Definition (Britannica) Particle accelerator: A device producing
More informationLECTURE 18. Beam loss and beam emittance growth. Mechanisms for beam loss. Mechanisms for emittance growth and beam loss Beam lifetime:
LCTUR 18 Beam loss and beam emittance growth Mechanisms for emittance growth and beam loss Beam lifetime: from residual gas interactions; Touschek effect; quantum lifetimes in electron machines; Beam lifetime
More informationElectromagnetic radiation in accelerator physics
Electromagnetic radiation in accelerator physics Gennady Stupakov SLAC National Accelerator Laboratory, Stanford, CA 94309 FEL Conference 2011 Shanghai, China 1/55 Outline of the talk Introduction, order
More informationPlasma Effects. Massimo Ricotti. University of Maryland. Plasma Effects p.1/17
Plasma Effects p.1/17 Plasma Effects Massimo Ricotti ricotti@astro.umd.edu University of Maryland Plasma Effects p.2/17 Wave propagation in plasma E = 4πρ e E = 1 c B t B = 0 B = 4πJ e c (Faraday law of
More informationGreen s function for the wave equation
Green s function for the wave equation Non-relativistic case January 2018 1 The wave equations In the Lorentz Gauge, the wave equations for the potentials are (Notes 1 eqns 44 and 43): 1 2 2 2 2 0 (1)
More informationAccelerator Physics Synchrotron Radiation. G. A. Krafft Old Dominion University Jefferson Lab Lecture 17
Accelerator Physics Synchrotron Radiation G. A. Krafft Old Dominion University Jefferson Lab Lecture 17 Relativistic Kinematics In average rest frame the insertion device is Lorentz contracted, and so
More informationFree electron lasers
Preparation of the concerned sectors for educational and R&D activities related to the Hungarian ELI project Free electron lasers Lecture 2.: Insertion devices Zoltán Tibai János Hebling 1 Outline Introduction
More informationThe reaction p(e,e'p)π 0 to calibrate the Forward and the Large Angle Electromagnetic Shower Calorimeters
The reaction p(e,e'p)π 0 to calibrate the Forward and the Large Angle Electromagnetic Shower Calorimeters M.Battaglieri, M.Anghinolfi, P.Corvisiero, A.Longhi, M.Ripani, M.Taiuti Istituto Nazionale di Fisica
More informationRelativistic Aspects of the Centripetal Force M. Conte
ISTITUTO NAZIONALE DI FISICA NUCLEARE Sezione di Genova INFN-17-11/GE 29 th May 2017 Relativistic Aspects of the Centripetal Force M. Conte Dipartimento di Fisica dell'università di Genova and INFN-Sezione
More informationPhysics 214 Final Exam Solutions Winter 2017
Physics 14 Final Exam Solutions Winter 017 1 An electron of charge e and mass m moves in a plane perpendicular to a uniform magnetic field B If the energy loss by radiation is neglected, the orbit is a
More informationEmphasis on what happens to emitted particle (if no nuclear reaction and MEDIUM (i.e., atomic effects)
LECTURE 5: INTERACTION OF RADIATION WITH MATTER All radiation is detected through its interaction with matter! INTRODUCTION: What happens when radiation passes through matter? Emphasis on what happens
More information!"#$%$!&'()$"('*+,-')'+-$#..+/+,0)&,$%.1&&/$ LONGITUDINAL BEAM DYNAMICS
LONGITUDINAL BEAM DYNAMICS Elias Métral BE Department CERN The present transparencies are inherited from Frank Tecker (CERN-BE), who gave this course last year and who inherited them from Roberto Corsini
More information