FEL Theory for Pedestrians
|
|
- Derek Bates
- 5 years ago
- Views:
Transcription
1 FEL Theory for Pedestrians Peter Schmüser, Universität Hamburg Preliminary version Introduction Undulator Radiation Low-Gain Free Electron Laser One-dimensional theory of the high-gain FEL Applications of the high-gain FEL equations Typeset by FoilTEX 1
2
3 bound-electron laser
4 Sinusoidal electron trajectory in undulator small longitudinal oscillation leads to odd higher harmonics
5 Co-moving coordinate system into laboratory system Text Computation by Shintake
6 Radiation power in laboratory system is the same: P = dw dt = dw dt = P P = e 2 c γ 2 K 2 k 2 u 12πε (1 + K 2 /2) 2 Line shape of undulator radiation Electron passing an undulator with N u periods produces wave train with N u oscillations. 1 I ( ω ) / I (ω ω ) / ω Spectral intensity : I(ω) 2 sin ξ with ξ = π N u(ω ω ) ξ ω Typeset by FoilTEX 11
7 Higher harmonics of undulator radiation Complicated issue and not the topic of my FEL lecture For details see J.A. Clarke, The Science and Technology of Undulators and Wigglers Model calculation for a detector at θ = with very small aperture electric field K =.2 spectral intensity K =.2 small undulator parameter only first harmonic electric field K = 2 time spectral intensity K = ω / ω 1 large undulator parameter harmonics 1, 3, 5, 7... radiation at angles θ > has also even harmonics (see Clarke) U m (ω) [a.u.] detector of finite size centered at θ= aperture matched to bandwidth of n th harmonic photon energy [ev]
8 Theory of the Low-Gain FEL Energy transfer from electron to light wave Differential equations of the low-gain FEL The pendulum equations FEL gain, Madey theorem Higher harmonics Typeset by FoilTEX 12
9
10 Question: can there be a continuous energy transfer from electron beam to light wave? Electron energy W = γm e c 2 changes in time dt by dw = v F dt = ev x (t)e x (t) dt Average electron speed in z direction v z = c 1 1 (1 + K 2 /2) 2γ 2 Electron and light travel times for half period of undulator: <c t el = λ u /(2 v z ), t light = λ u /(2c) Continuous energy transfer happens if ω (t el t light )=π v x E x v x electron trajectory z slippage of light wave 1 optical wavelength per undulator period E x light wave Typeset by FoilTEX 14
11 From the condition ω (t el t light )=π compute light wavelength λ = λ u 2γ 2 1+ K2 2 Identical with undulator radiation wavelength in forward direction (θ =) Remark: ω (t el t light )=3π, 5π... also possible generation of odd harmonics (λ /3, λ /5...) Note however: ω (t el t light ) = 2π, 4π... yields zero net energy transfer from electron to light wave even harmonics (λ /2, λ /4...) are not present Typeset by FoilTEX 15
12 Definition of FEL bucket FEL bucket ζ FEL bucket electrons in left half remove energy from light wave (bad) - λ/2 λ/2 ζ
13 Differential equations of the low-gain FEL Energy transfer from an electron to the light wave dw dt = ev x (t)e x (t) = e ck γ cos(k uz)e cos(k z ω t + ψ ) ecke 2γ [cos ψ + cos χ] Ponderomotive phase ψ rapidly oscillating phase χ ψ =(k + k u )z(t) ω t + ψ χ =(k k u ) βct ω t + ψ Continuous energy transfer from electron to light wave if ψ is constant Optimum value ψ = Neglect longitudinal oscillation, so v z v z The condition ψ = const can only be fulfilled for a certain wavelength ψ(t) =(k + k u ) v z t k ct+ ψ = const dψ dt =(k + k u ) v z k c = Typeset by FoilTEX 16
14 Insert v z and use k u k to compute light wavelength: λ = λ u 2γ 2 1+ K2 2 Condition for sustained energy transfer yields wavelength of undulator radiation at θ = spontaneous undulator radiation can seed a SASE FEL What about phase χ? The term cos χ averages to zero χ(z) =ψ(z) 2k u z cos χ(z) cos(2k u z) 1 cos ψ cos χ z/ λ u 1 Typeset by FoilTEX 17
15 Internal bunch coordinate zeta and ponderomotive phase psi bucket center at ζ =, ψ = - π/2 Reference particle: ψ = - π/2 zero energy transfer between electron and light wave electron trajectory light wave FEL case: ψ = energy transfer from electron to light wave Laser-acceleration: ψ = - π energy transfer from light wave to electron
16 The pendulum equations Lasing process in undulator is started by monochromatic light of wavelength λ Resonance electron energy W r = γ r m e c 2 defined by λ = λ u 2γ 2 r 1+ K2 2 γ r = λ u 2λ 1+ K2 2 (Electrons with energy W = W r emit undulator radiation with wavelength λ = λ ) Consider off-resonance electron γ = γ r, define relative energy deviation η = γ γ r γ r ( < η 1) Ponderomotive phase no longer constant for η =. Also η changes due to interaction with radiation field dψ dt =2k uc η dη dt = ee K 2m e cγ 2 r cos ψ Typeset by FoilTEX 19
17 Define shifted phase ϕ = ψ + π/2 to see analogy with mathematical pendulum FEL pendulum dϕ dt dϕ dt = 2k u c η = 1 m 2 L dη dt = ee K 2m e cγ 2 r dl dt = mg sin ϕ sin ϕ R otation angular momentum L fixpoint separatrix φ φ π π Os cillation angle φ Small angles: sin ϕ ϕ pendulum carries out a harmonic oscillation: ϕ(t) =ϕ cos(ωt), L(t) = m 2 ωϕ sin(ωt) elliptic phase space curves Large angular momentum motion unharmonic. Very large angular momentum: rotation (unbounded motion) Typeset by FoilTEX 2
18 FEL phase space curves γ = γ r γ > γ r η = W / W phase φ / π phase φ / π On resonance (γ = γ r ): net energy transfer zero Above resonance (γ > γ r ): positive net energy transfer from electron beam to light wave Typeset by FoilTEX 21
19 Gain Function of Low-Gain FEL Madey Theorem: the FEL gain curve is proportional to the negative derivative of the line-shape curve of undulator radiation spectral line of undulator.5 FEL gain gain of FEL function intensity I(ω) gain G(ω) -.5 ω ω ω ω The normalized lineshape curve of undulator radiation and the gain curve of a typical low-gain FEL Note: gain of FEL amplifier is G(ω)+1 Typeset by FoilTEX 22
20 One-dimensional Theory of the High-Gain FEL Microbunching Basic Elements of the 1D FEL Theory Radiation Field and Space Charge Field The Coupled First-Order Differential Equations of the High-Gain FEL The Third-Order Equation of the High-Gain FEL General analytic solution of the third-order equation Typeset by FoilTEX 25
21
22 Microbunching Essential feature of high-gain FEL: very many electrons radiate coherently Radiation grows quadratically with the number of particles P N = N 2 P 1 big problem: concentration of 1 9 electrons into a tiny volume is impossible, L bunch λ Simulation of microbunching by Sven Reiche, UCLA (code GENESIS).2 (a).2 (b).2 (c) x [mm].1.1 x [mm].1.1 x [mm] ζ.2 ζ.2 λ! ζ Electrons losing energy to light wave travel on a sinus orbit of larger amplitude than electrons gaining energy from light wave Result: modulation of longitudinal velocity Typeset by FoilTEX 26
23 Microbunching and exponential gain Simulation of microbunching (Sven Reiche) Measured FEL pulse energy at 98 nm wavelength length of undulator
24 Basic elements of the one-dimensional FEL theory 1D FEL theory: dependency of bunch charge density and electromagnetic fields on transverse coordinates x, y is neglected. Also betatron oscillations and diffraction of the light wave are disregarded. Complex notation Note: this is a constant E in the low-gain theory Ẽ x (z,t) =Ẽx(z) exp[ik z iω t] E x (z,t) = Re Ẽx (z) exp[ik z icω t] Complex amplitude function Ẽx(z), grows slowly with z Analytic description of high-gain FEL (1) coupled pendulum equations, describing phase-space motion of particles under the influence of electric field of light wave (2) inhomogeneous wave equation for electric field of light wave (3) evolution of a microbunch structure coupled with longitudinal space charge forces Typeset by FoilTEX 27
25 Initial conditions: uniform charge distribution in bunch at z =, lasing process started by seed laser Interaction with periodic light wave gradually produces density modulation periodic in ponderomotive phase ψ (resp. internal bunch coordinate ζ with period λ ) ρ(ψ,z)=ρ + ρ 1 (z)e iψ j(ψ,z)=j + j 1 (z)e iψ Oscillatory part in longitudinal velocity is neglected: z(t) = βct Higher harmonics are ignored Radiation field Wave equation for E x field 2 z c 2 t 2 E x (z,t) =µ j x t + 1 ε ρ x 1D FEL theory: charge density independent of x neglect ρ/ x High-gain FEL: complex amplitude Ẽx(z) depends on path length z in undulator E x (z,t) =Ẽx(z) exp[ik (z ct)] Ẽ x () = E Typeset by FoilTEX 28
26 First goal: find differential equation for field amplitude Ẽx(z) Slowly varying amplitude (SVA) approximation: change of amplitude within one light wavelength (growth rate) is small change of growth rate is negligible Ẽ x(z) λ Ẽx(z) Ẽ x(z) k Ẽ x (z) Ẽ x(z) k Ẽx(z) Ẽ x(z) is negligible Result: Differential equation for slowly varying amplitude dẽx dz = iµ 2k j x t exp[ ik (z ct)] Question: What is the transverse current j x? j = ρv j x = j z v x /v z j z K γ cos(k uz) dẽx dz = iµ K 2k γ j z t exp[ ik (z ct)] cos(k u z) Typeset by FoilTEX 29
27 j z t = j z ψ ψ t = iω j 1 e iψ = iω j 1 exp[ik (z ct)+ik u z]. The derivative of the transverse field becomes dẽx dz = µ ck 2γ = µ ck 4γ j 1 exp[ik (z ct)+ik u z] exp[ i(k z ct)] eikuz + e ikuz j 1 {1 + exp(i2k u z)} 2 The phase factor exp[i2k u z] carries out two oscillations per undulator period λ u and averages to zero dẽx dz = µ ck 4γ j 1 Typeset by FoilTEX 3
28 Space charge field (longitudinal field) Electric field created by modulated charge density is computed using Maxwell equation E = ρ/ε Rapidly oscillating field: E z z = ρ 1(z) ε Amplitude of longitudinal electric field is exp[i((k + k u )z ω t)] i Ẽ z = ε (k + k u ) ρ 1 iµ c 2 j 1 ω Ẽ z = iµ c 2 ω j 1 Typeset by FoilTEX 31
29 The Coupled First-Order Differential Equations Low-gain FEL: Evolution of ponderomotive phase ψ and of relative energy deviation η described by pendulum equations (note that we use z = β ct as our quasi-time) dψ dz =2k uη, dη dz = ee ˆK 2m e c 2 γr 2 cos ψ High-gain FEL: field amplitude is z dependent dη dz light wave = e ˆK 2m e c 2 γ 2 r Re(Ẽxe iψ ) Add energy change due to interaction with space charge field: dη dz space charge = e m e c 2 γ r Re(Ẽze iψ ) Typeset by FoilTEX 32
30 Combining the two effects yields dη dz = e m e c 2 Re γ r ˆKẼ x 2γ r + Ẽz e iψ Goal: study phase space motion of electrons as in low-gain case, but take growth of field amplitude Ẽx(z) into account and also evolution of space charge field Ẽz(z). Both are related to modulation amplitude j 1 (z) of electron beam current density: dẽx dz = µ ck 4γ j 1 (z) Ẽ z (z) = iµ c 2 ω j 1 (z) Obvious task: compute j 1 for a given arrangement of electrons in phase space Subdivide electron bunch into longitudinal slices of length λ corresponding to slices of length 2π in phase variable ψ Distribution function for N particles per slice S(ψ) = N n=1 δ(ψ ψ n ) ψ, ψ n [, 2π] Typeset by FoilTEX 33
31 We consider first the special case of a perfectly uniform longitudinal distribution of the electrons in the bunch and continue the function S(ψ) periodically. The more realistic case of a random longitudinal particle distribution is investigated later. Fourier series S(ψ) = c 2 + Re c k exp(ikψ) k=1, c k = 1 π 2π S(ψ) exp(ikψ)dψ The modulated current density at the first harmonic is j 1 = ecn e 2 N N n=1 exp( iψ n ) Typeset by FoilTEX 34
32 Coupled first-order equations dẽx dz j 1 = n e ec 2 N = µ c K 4γ j 1 N n=1 exp( iψ n ) dψ n dz dη n dz = 2k u η n, n =1...N = e m e c 2 γ r Re K Ẽ x 2γ r iµ c 2 ω j 1 exp(iψ n ) Coupled first-order equations describe time evolution of 1) modulated current density 2) light wave amplitude Ẽx 3) ponderomotive phase ψ n of electron number n (n =1...N) 4) relative energy deviation η n =(γ n γ r )/γ r Many-body problem without analytical solution Typeset by FoilTEX 35
33 The Third-Order Equation of the High-Gain FEL Main physics of high-gain FEL is contained in the coupled first-order equations Drawback: they can only be solved numerically. Goal: find differential equation containing only the electric field amplitude Ẽx(z) of light wave. For a small periodic density modulation the quantities ψ n and η n characterizing the particle dynamics in the bunch can be eliminated by defining a normalized particle distribution function F (ψ, η,z) = Re F (ψ, η,z) = F (η) + Re F1 (η,z) e iψ η ζ η ψ ψ Typeset by FoilTEX 36
34 F (ψ, η, z) obeys the Vlasov equation, a generalized continuity equation df dz = F z + F ψ ψ z + F η η z = After many mathematical steps one finds the third-order equation Ẽ x Γ 3 +2i η ρ FEL Ẽx Γ 2 + k 2 p Γ 2 η ρ FEL 2 Ẽ x Γ i Ẽx =. Three important parameters: simplest form gain parameter Γ = space charge parameter k p = ω p c FEL parameter ρ FEL = Γ 2k u µ K 2 e 2 k u n e 4γrm 3 e 1/3 2λ γ r λ u, ω p = FEL bandwidth n e e 2 γ r ε m e Typeset by FoilTEX 37
35 Third-order differential equation is solved analytically by trial function Ẽ x (z) =A exp(αz) Special case η =and k p =, i.e. energy on resonance and negligible space charge: α 3 = i Γ 3 α 1 = iγ, α 2 =(i + 3)Γ/2, α 3 =(i 3)Γ/2 Second solution leads to exponential growth of Ẽx(z). Power of light wave grows as exp( 3Γz) exp(z/l g ) Power gain length L g = 1 = 1 3Γ 3 4γ 3 rm e µ K2 e 2 k u n e 1/3 Typeset by FoilTEX 38
36 General analytic solution of the third-order equation Third-order differential equation is solved by assuming a z dependence of the form exp(αz). Cubic equation for exponent α has three solutions α 1, α 2, α 3. Field amplitude is linear combination of the three eigenfunctions Ẽ x (z) =c 1 V 1 (z)+c 2 V 2 (z)+c 3 V 3 (z) V j (z) = exp(α j z) First and second derivative Ẽ x(z) = c 1 α 1 V 1 (z)+c 2 α 2 V 2 (z)+c 3 α 3 V 3 (z) Ẽ x(z) = c 1 α 2 1V 1 (z)+c 2 α 2 2V 2 (z)+c 3 α 2 3V 3 (z) Since V j () = 1 the coefficients c j can be computed by specifying the initial conditions for Ẽx(z), Ẽx(z) and Ẽ x(z) at the beginning of the undulator at z =. The initial values can be expressed in matrix form by Ẽ x () Ẽ x() Ẽ x() = A c 1 c 2 c 3 with A = α 1 α 2 α α1 2 α2 2 α3 2 Typeset by FoilTEX 39
37 Coefficient vector is given by c 1 c 2 c 3 = A 1 Ẽ x () Ẽ x() Ẽ x() Consider now the simple case η =and k p =, i.e. beam energy on resonance and negligible space charge. Then the eigenvalues are α 1 = iγ, α 2 =(i + 3)Γ/2, α 3 =(i 3)Γ/2 A 1 = i/γ 1 /Γ 2 1 ( 3 i)/(2γ) ( i 3 + 1)/(2Γ 2 ) 1 ( 3 i)/(2γ) (i 3 + 1)/(2Γ 2 ) Start FEL process by an incident plane light wave of wavelength λ and amplitude E E x (z,t) =E cos(k z ω t) with k = ω /c =2π/λ Typeset by FoilTEX 4
38 Initial condition is Ẽ x () Ẽ x() Ẽ x() = E All three coefficients have the same value, c j = E /3 Ẽx(z) = E 3 exp( iγz) + exp((i + 3)Γz/2) + exp((i 3)Γz/2) First term oscillates along undulator axis, third term carries out a damped oscillation. Second term exhibits exponential growth and dominates at large z. FEL power grows asymptotically as P (z) = P 9 exp( 3Γz) = P 9 exp(z/l g) for z 32L g P power of incident seed light wave Typeset by FoilTEX 41
39 FEL startup by seed laser radiation, incident power P P(z) / P() red curve: analytic solution of third-order equation blue line: approximation P(z)= (P/9) exp(z/lg) P number of gain lengths lethargy regime Solid red curve: analytic solution about 3 gain lengths Dashed blue line: P (z) = P 9 exp(z/l g) Typeset by FoilTEX 42
40 Applications of the High-Gain FEL Equations FEL gain curve Consider electron beam which is not on resonance but has still energy spread zero γ = γ r η = σ η = Lasing process seeded by incident plane wave Gain G(η,z) as a function of the relative energy deviation η and the position z in the undulator is 2 Ẽx (η,z) G(η,z)= 1 (Field Ẽx inside undulator depends implicitely on η through η dependence of the eigenvalues α j ) E remember: gain function G is defined as G=gain-1 Typeset by FoilTEX 43
41 Short undulator: low-gain limit Take undulator magnet that is shorter than one gain length L und L g.7 gain function G(η) Red curve: high-gain theory Blue circles: low-gain theory relative energy deviation η Note: maximum gain is only 1.5 (gain (G = gain 1=.5) -1= low-gain regime. The quantitative agreement proves that the low-gain FEL theory is the limiting case of the more general high-gain theory. Typeset by FoilTEX 44
42 Long undulator: high-gain regime Red: high-gain theory, blue: low-gain theory.6 2 L g 8 4 L g gain G(η) L g L g gain G(η) relative energy deviation η relative energy deviation η For z L g : maximum amplification near η =(on resonance) Typeset by FoilTEX 45
43 Bandwidth of FEL Analysis of third-order equation shows that FEL gain drops significantly when relative energy deviation exceeds the FEL ρ parameter η > ρ FEL = 1 4π 3 λu L g 1 2 L g normalized gain G(η).5 z dependent energy bandwidth η/ρ η(z) =3 πρ FEL Lg z Normalized gain at z = 2 L g as a function of η/ρ FEL Gain curve has a FWHM 1. ρ FEL Typeset by FoilTEX 46 high-gain FEL acts as a narrow-band amplifier typical bandwidth about.1
44 analytic solution of third-order equation power gain P(z) / P() numerical solution of coupled first-order equations position in undulator z / L g
45 Comparison of different input powers of seed radiation. FEL power [arb. units] FEL power in arbitrary units Red: seed power.1 Blue: seed power number 1of gain lengths 2 3 z / L g FEL power depends linearly on input power in exponential regime However: saturation level is independent of input power FEL power oscillates in the saturation regime between electron beam and light wave. energy is pumped back and forth Typeset by FoilTEX 5
46 Simulation of microbunching The coupled first-order differential equations permit to study microbunching Use typical parameters of ultraviolet FEL FLASH.1 12 L g. 6 1 power gain I I number of gain lengths Typeset by FoilTEX 51
47 Numerical study of microbunching in a long undulator magnet Martin Dohlus, DESY consider 3 slices start with uniform distribution Important Note: the FEL result: buckets move, Microbunches mainly in the lethargy are located regime in the right half of the slices microbunches are formed in the right halves of the buckets
48 What happens if the undulator is too long? z = 2 Lg z = 23 Lg norm. charge density ρn norm. charge density ρn.1 relative energy deviation η relative energy deviation η.1 5 ponderomotive phase ψ 1-2π 2π ponderomotive phase ψ electrons move into left half of FEL buckets and take energy out of light wave
49 Evolution of particle phases along undulator axis 2π ponderomotive phase ψ -2π -4π position in undulator z/l g phases of field Ex and current j1 Vorschlag zu Fig. 5.9 central bucket microbunch bucket center central bucket phases of field and current 2π π field current z / L g position in undulator z/l g
50 Self Amplified Spontaneous Emission Modulated current density resulting from shot noise in electron beam j 1 = 2 e I ω π Sb S b beam cross section FEL power [W] FEL power [ W ] Continuous 1 red curve: computed SASE FEL power Dashed blue curve: FEL startup by seeding with a laser field of E =.7 MV/m Typeset by FoilTEX 54 z / L g z / L g SASE computed analytically with third-oder equation Laser seeding computed numerically with coupled first-oder equations
51 Measured power rise in LCLS at a wavelength of 1.5 Angström Figure courtesy Zhirong Huang.2 a) b) c) x / mm x / mm x / mm π 2π 4π ψ.2 2π 2π 4π ψ.2 2π 2π 4π ψ
52 Acknowledgements and references I want to thank Martin Dohlus and Jörg Rossbach for numerous fruitful discussions The FEL lectures are mainly based on the book Ultraviolet and Soft X-Ray Free-Electron Lasers by P. Schmüser, M. Dohlus and J. Rossbach, Springer 28 Furthermore, the following references have been extensively used: Duke, P.J.: Synchrotron Radiation: Production and Properties. Oxford University Press, Oxford (2) Wiedemann, H.: Particle Accelerator Physics II, 2nd ed., Springer, Berlin (1999) Clarke, J.A.: The Science and Technology of Undulators and Wigglers. Oxford University Press, Oxford (24) Wille, K.: The Physics of Particle Accelerators. An Introduction. Oxford University Press, Oxford (21) Murphy, J.B., Pellegrini, C.: Introduction to the physics of the free electron laser. In: Colson, W.B., Pellegrini, C., Renieri, A. (eds.) Laser Handbook vol. 6, Free Electron Lasers, p. 11. North Holland, Amsterdam (199) Colson, W.B.: Classical free electron laser theory. Laser Handbook vol. 6, p (199) 292, 1853 (21) Pellegrini, C., Reiche, S.: The development of X-ray free-electron lasers, IEEE J. Quantum Electron. 1(6), 1393 (24) Pellegrini, C., Reiche, S.: Free-Electron Lasers. The Optics Encyclopedia, p Wiley-VCH (23) Saldin, E.L., Schneidmiller, E.A., Yurkov, M.V.: The Physics of Free Electron Lasers. Springer, Berlin, Heidelberg (2) Huang, Z., Kim, K.-J. Review of x-ray free-electron laser theory. Phys. Rev. ST Accel. Beams 1, 3481 (27)
Short Wavelength SASE FELs: Experiments vs. Theory. Jörg Rossbach University of Hamburg & DESY
Short Wavelength SASE FELs: Experiments vs. Theory Jörg Rossbach University of Hamburg & DESY Contents INPUT (electrons) OUTPUT (photons) Momentum Momentum spread/chirp Slice emittance/ phase space distribution
More informationFree-electron lasers. Peter Schmüser Institut für Experimentalphysik, Universität Hamburg, Germany
Free-electron lasers Peter Schmüser Institut für Experimentalphysik, Universität Hamburg, Germany Introduction Abstract The synchrotron radiation of relativistic electrons in undulator magnets and the
More information4 FEL Physics. Technical Synopsis
4 FEL Physics Technical Synopsis This chapter presents an introduction to the Free Electron Laser (FEL) physics and the general requirements on the electron beam parameters in order to support FEL lasing
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 informationCoherence properties of the radiation from SASE FEL
CERN Accelerator School: Free Electron Lasers and Energy Recovery Linacs (FELs and ERLs), 31 May 10 June, 2016 Coherence properties of the radiation from SASE FEL M.V. Yurkov DESY, Hamburg I. Start-up
More informationHarmonic Lasing Self-Seeded FEL
Harmonic Lasing Self-Seeded FEL E. Schneidmiller and M. Yurkov FEL seminar, DESY Hamburg June 21, 2016 In a planar undulator (K ~ 1 or K >1) the odd harmonics can be radiated on-axis (widely used in SR
More informationSimple Physics for Marvelous Light: FEL Theory Tutorial
Simple Physics for Marvelous Light: FEL Theory Tutorial Kwang-Je Kim ANL, U of C, POSTECH August 22, 26, 2011 International FEL Conference Shanghai, China Undulators and Free Electron Lasers Undulator
More informationTransverse Coherence Properties of the LCLS X-ray Beam
LCLS-TN-06-13 Transverse Coherence Properties of the LCLS X-ray Beam S. Reiche, UCLA, Los Angeles, CA 90095, USA October 31, 2006 Abstract Self-amplifying spontaneous radiation free-electron lasers, such
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 informationFirst operation of a Harmonic Lasing Self-Seeded FEL
First operation of a Harmonic Lasing Self-Seeded FEL E. Schneidmiller and M. Yurkov ICFA workshop, Arcidosso, Italy, 22.09.2017 Outline Harmonic lasing Harmonic lasing self-seeded (HLSS) FEL Experiments
More informationCoherence Properties of the Radiation from X-ray Free Electron Lasers
Proceedings of the CAS CERN Accelerator School: Free Electron Lasers and Energy Recovery Linacs, Hamburg, Germany, 31 May 10 June 2016, edited by R. Bailey, CERN Yellow Reports: School Proceedings, Vol.
More informationThe peak brilliance of VUV/X-ray free electron lasers (FEL) is by far the highest.
Free electron lasers The peak brilliance of VUV/X-ray free electron lasers (FEL) is by far the highest. Normal lasers are based on stimulated emission between atomic energy levels, i. e. the radiation
More informationGeneration of GW-level, sub-angstrom Radiation in the LCLS using a Second-Harmonic Radiator. Abstract
SLAC PUB 10694 August 2004 Generation of GW-level, sub-angstrom Radiation in the LCLS using a Second-Harmonic Radiator Z. Huang Stanford Linear Accelerator Center, Menlo Park, CA 94025 S. Reiche UCLA,
More informationFree Electron Laser. Project report: Synchrotron radiation. Sadaf Jamil Rana
Free Electron Laser Project report: Synchrotron radiation By Sadaf Jamil Rana History of Free-Electron Laser (FEL) The FEL is the result of many years of theoretical and experimental work on the generation
More informationSome Sample Calculations for the Far Field Harmonic Power and Angular Pattern in LCLS-1 and LCLS-2
Some Sample Calculations for the Far Field Harmonic Power and Angular Pattern in LCLS-1 and LCLS-2 W.M. Fawley February 2013 SLAC-PUB-15359 ABSTRACT Calculations with the GINGER FEL simulation code are
More informationBrightness and Coherence of Synchrotron Radiation and Free Electron Lasers. Zhirong Huang SLAC, Stanford University May 13, 2013
Brightness and Coherence of Synchrotron Radiation and Free Electron Lasers Zhirong Huang SLAC, Stanford University May 13, 2013 Introduction GE synchrotron (1946) opened a new era of accelerator-based
More informationReview of x-ray free-electron laser theory
PHYSICAL REVIEW SPECIAL TOPICS - ACCELERATORS AND BEAMS 1, 3481 (7) Review of x-ray free-electron laser theory Zhirong Huang Stanford Linear Accelerator Center, Stanford, California 9439, USA Kwang-Je
More informationEmittance Limitation of a Conditioned Beam in a Strong Focusing FEL Undulator. Abstract
SLAC PUB 11781 March 26 Emittance Limitation of a Conditioned Beam in a Strong Focusing FEL Undulator Z. Huang, G. Stupakov Stanford Linear Accelerator Center, Stanford, CA 9439 S. Reiche University of
More informationNON LINEAR PULSE EVOLUTION IN SEEDED AND CASCADED FELS
NON LINEAR PULSE EVOLUTION IN SEEDED AND CASCADED FELS L. Giannessi, S. Spampinati, ENEA C.R., Frascati, Italy P. Musumeci, INFN & Dipartimento di Fisica, Università di Roma La Sapienza, Roma, Italy Abstract
More informationGenerating intense attosecond x-ray pulses using ultraviolet-laser-induced microbunching in electron beams. Abstract
Febrary 2009 SLAC-PUB-13533 Generating intense attosecond x-ray pulses using ultraviolet-laser-induced microbunching in electron beams D. Xiang, Z. Huang and G. Stupakov SLAC National Accelerator Laboratory,
More informationLinac Based Photon Sources: XFELS. Coherence Properties. J. B. Hastings. Stanford Linear Accelerator Center
Linac Based Photon Sources: XFELS Coherence Properties J. B. Hastings Stanford Linear Accelerator Center Coherent Synchrotron Radiation Coherent Synchrotron Radiation coherent power N 6 10 9 incoherent
More informationVARIABLE GAP UNDULATOR FOR KEV FREE ELECTRON LASER AT LINAC COHERENT LIGHT SOURCE
LCLS-TN-10-1, January, 2010 VARIABLE GAP UNDULATOR FOR 1.5-48 KEV FREE ELECTRON LASER AT LINAC COHERENT LIGHT SOURCE C. Pellegrini, UCLA, Los Angeles, CA, USA J. Wu, SLAC, Menlo Park, CA, USA We study
More informationTraveling Wave Undulators for FELs and Synchrotron Radiation Sources
LCLS-TN-05-8 Traveling Wave Undulators for FELs and Synchrotron Radiation Sources 1. Introduction C. Pellegrini, Department of Physics and Astronomy, UCLA 1 February 4, 2005 We study the use of a traveling
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 informationNumerical Modeling of Collective Effects in Free Electron Laser
Numerical Modeling of Collective Effects in Free Electron Laser Mathematical Model and Numerical Algorithms Igor Zagorodnov Deutsches Elektronen Synchrotron, Hamburg, Germany ICAP 1, Rostock 1. August
More informationFree-Electron Laser. A) Motivation and Introduction. B) Theoretical Approach. C) Experimental Realization / Challenges
Free-Electron Laser A) Motivation and Introdction B) Theoretical Approach C) Experimental Realization / Challenges v1 A) Motivation and Introdction need for short wavelengths why FELs? free electron wave
More informationElectron Linear Accelerators & Free-Electron Lasers
Electron Linear Accelerators & Free-Electron Lasers Bryant Garcia Wednesday, July 13 2016. SASS Summer Seminar Bryant Garcia Linacs & FELs 1 of 24 Light Sources Why? Synchrotron Radiation discovered in
More informationSTUDIES OF UNDULATOR TAPERING FOR THE CLARA FEL
STUDIES OF UNDULATOR TAPERING FOR THE CLARA FEL I.P.S. Martin, Diamond Light Source, Oxfordshire, UK R. Bartolini, Diamond Light Source, Oxfordshire, UK and John Adams Institute, University of Oxford,
More informationAnalysis of FEL Performance Using Brightness Scaled Variables
Analysis of FEL Performance Using Brightness Scaled Variables Michael Gullans with G. Penn, J. Wurtele, and M. Zolotorev Lawrence Berkeley National Laboratory, Berkeley, CA 94720 Outline Introduce brightness
More informationSPARCLAB. Source For Plasma Accelerators and Radiation Compton. On behalf of SPARCLAB collaboration
SPARCLAB Source For Plasma Accelerators and Radiation Compton with Laser And Beam On behalf of SPARCLAB collaboration EMITTANCE X X X X X X X X 2 BRIGHTNESS (electrons) B n 2I nx ny A m 2 rad 2 The current
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 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 informationSTART-TO-END SIMULATIONS FOR IR/THZ UNDULATOR RADIATION AT PITZ
Proceedings of FEL2014, Basel, Switzerland MOP055 START-TO-END SIMULATIONS FOR IR/THZ UNDULATOR RADIATION AT PITZ P. Boonpornprasert, M. Khojoyan, M. Krasilnikov, F. Stephan, DESY, Zeuthen, Germany B.
More informationX-ray production by cascading stages of a High-Gain Harmonic Generation Free-Electron Laser I: basic theory
SLAC-PUB-494 June 4 X-ray production by cascading stages of a High-Gain Harmonic Generation Free-Electron Laser I: basic theory Juhao Wu Stanford Linear Accelerator Center, Stanford University, Stanford,
More informationA Review of X-ray Free-Electron Laser Theory. Abstract
SLAC PUB 12262 December 2006 A Review of X-ray Free-Electron Laser Theory Zhirong Huang Stanford Linear Accelerator Center, Stanford University, Stanford, CA 94309 Kwang-Je Kim Advanced Photon Source,
More informationTheory of Nonlinear Harmonic Generation In Free-Electron Lasers with Helical Wigglers
Theory of Nonlinear Harmonic Generation In Free-Electron Lasers with Helical Wigglers Gianluca Geloni, Evgeni Saldin, Evgeni Schneidmiller and Mikhail Yurkov Deutsches Elektronen-Synchrotron DESY, Hamburg
More informationIntroduction to single-pass FELs for UV X-ray production
Introduction to single-pass FELs for UV X-ray production S. Di Mitri, Elettra Sincrotrone Trieste INSC - 08/2014 simone.dimitri@elettra.eu 1 Outlook Motivations Radiation emission in undulator Self-Amplified
More informationFemtosecond and sub-femtosecond x-ray pulses from a SASE-based free-electron laser. Abstract
SLAC-PUB-12 Femtosecond and sub-femtosecond x-ray pulses from a SASE-based free-electron laser P. Emma, K. Bane, M. Cornacchia, Z. Huang, H. Schlarb, G. Stupakov, and D. Walz Stanford Linear Accelerator
More informationExpected properties of the radiation from VUV-FEL / femtosecond mode of operation / E.L. Saldin, E.A. Schneidmiller, M.V. Yurkov
Expected properties of the radiation from VUV-FEL / femtosecond mode of operation / E.L. Saldin, E.A. Schneidmiller, M.V. Yurkov TESLA Collaboration Meeting, September 6-8, 2004 Experience from TTF FEL,
More informationLinac Driven Free Electron Lasers (III)
Linac Driven Free Electron Lasers (III) Massimo.Ferrario@lnf.infn.it SASE FEL Electron Beam Requirements: High Brightness B n ( ) 1+ K 2 2 " MIN r #$ % &B! B n 2 n K 2 minimum radiation wavelength energy
More informationHigh Energy Gain Helical Inverse Free Electron Laser Accelerator at Brookhaven National Laboratory
High Energy Gain Helical Inverse Free Electron Laser Accelerator at Brookhaven National Laboratory J. Duris 1, L. Ho 1, R. Li 1, P. Musumeci 1, Y. Sakai 1, E. Threlkeld 1, O. Williams 1, M. Babzien 2,
More informationLINAC BASED FREE-ELECTRON LASER
TSA-F Report 4-8 INAC BASD FR-CTRON ASR J. Rossbach Universität Hamburg, Hamburg, Germany Abstract A basic treatment of the principle of the linac-driven free-electron laser (F) is given. The first part
More informationAn overview of near-field vs. far-field radiation characteristics of the Linac Coherent Light Source (LCLS) 1. INTRODUCTION
An overview of near-field vs. far-field radiation characteristics of the Linac Coherent Light Source (LCLS) R. Tatchyn a Stanford Synchrotron Radiation Laboratory, Stanford Linear Accelerator Center, Stanford,
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 informationIntroduction to the Physics of Tapered Undulator FELs
Introduction to the Physics of Tapered Undulator FELs William M. Fawley Workshop on the Physics and Applications of High Efficiency FELs UCLA 11-13 April 2018 Outline What is undulator tapering and why
More informationASTRA simulations of the slice longitudinal momentum spread along the beamline for PITZ
ASTRA simulations of the slice longitudinal momentum spread along the beamline for PITZ Orlova Ksenia Lomonosov Moscow State University GSP-, Leninskie Gory, Moscow, 11999, Russian Federation Email: ks13orl@list.ru
More informationUndulator radiation from electrons randomly distributed in a bunch
Undulator radiation from electrons randomly distributed in a bunch Normally z el >> N u 1 Chaotic light Spectral property is the same as that of a single electron /=1/N u Temporal phase space area z ~(/
More informationTwo-Stage Chirped-Beam SASE-FEL for High Power Femtosecond X-Ray Pulse Generation
Two-Stage Chirped-Beam SASE-FEL for High ower Femtosecond X-Ray ulse Generation C. Schroeder*, J. Arthur^,. Emma^, S. Reiche*, and C. ellegrini* ^ Stanford Linear Accelerator Center * UCLA 12-10-2001 LCLS-TAC
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 informationSteady State Analysis of Short-wavelength, High-gain FELs in a Large Storage Ring. Abstract
SLAC PUB 12858 October 2007 Steady State Analysis of Short-wavelength, High-gain FELs in a Large Storage Ring Z. Huang, K. Bane, Y. Cai, A. Chao, R. Hettel Stanford Linear Accelerator Center, Menlo Park,
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 informationModeling of Space Charge Effects and Coherent Synchrotron Radiation in Bunch Compression Systems. Martin Dohlus DESY, Hamburg
Modeling of Space Charge Effects and Coherent Synchrotron Radiation in Bunch Compression Systems Martin Dohlus DESY, Hamburg SC and CSR effects are crucial for design & simulation of BC systems CSR and
More informationEcho-Enabled Harmonic Generation
Echo-Enabled Harmonic Generation G. Stupakov SLAC NAL, Stanford, CA 94309 IPAC 10, Kyoto, Japan, May 23-28, 2010 1/29 Outline of the talk Generation of microbunching in the beam using the echo effect mechanism
More informationIntroduction to Free Electron Lasers and Fourth-Generation Light Sources. 黄志戎 (Zhirong Huang, SLAC)
Introduction to Free Electron Lasers and Fourth-Generation Light Sources 黄志戎 (Zhirong Huang, SLAC) FEL References K.-J. Kim and Z. Huang, FEL lecture note, available electronically upon request Charles
More informationOPTIMIZATION OF A HIGH EFFICIENCY FREE ELECTRON LASER AMPLIFIER
Proceedings of FEL, Daejeon, Korea MOC OPTIMIZATION OF A HIGH EFFICIENCY FREE ELECTRON LASER AMPLIFIER E.A. Schneidmiller, M.V. Yurkov, DESY, Hamburg, Germany Abstract Technique of undulator tapering in
More informationCooled-HGHG and Coherent Thomson Sca ering
Cooled-HGHG and Coherent Thomson Sca ering using KEK compact ERL beam CHEN Si Institute of Heavy Ion Physics Peking University chensi9@mailsucasaccn Seminar, KEK 213117 Outline 1 Accelerator-based Light
More informationBeam Echo Effect for Generation of Short Wavelength Radiation
Beam Echo Effect for Generation of Short Wavelength Radiation G. Stupakov SLAC NAL, Stanford, CA 94309 31st International FEL Conference 2009 Liverpool, UK, August 23-28, 2009 1/31 Outline of the talk
More informationCommissioning of the new Injector Laser System for the Short Pulse Project at FLASH
Commissioning of the new Injector Laser System for the Short Pulse Project at FLASH Uni Hamburg tim.plath@desy.de 05.11.2013 Supported by BMBF under contract 05K10GU2 & FS FLASH 301 Motivation short pulses
More informationparameter symbol value beam energy E 15 GeV transverse rms beam size x;y 25 m rms bunch length z 20 m charge per bunch Q b 1nC electrons per bunch N b
LCLS{TN{98{2 March 1998 SLAC/AP{109 November 1997 Ion Eects in the LCLS Undulator 1 Frank Zimmermann Stanford Linear Accelerator Center, Stanford University, Stanford, CA 94309 Abstract I calculate the
More informationFAST: a three-dimensional time-dependent FEL simulation code
Nuclear Instruments and Methods in Physics Research A 429 (1999) 233}237 FAST: a three-dimensional time-dependent FEL simulation code E.L. Saldin, E.A. Schneidmiller, M.V. Yurkov* Automatic Systems Corporation,
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 informationIntroduction to Classical and Quantum FEL Theory R. Bonifacio University of Milano and INFN LNF
Introduction to Classical and Quantum FEL Theory R. Bonifacio University of Milano and INFN LNF Natal 2016 1 1 OUTLINE Classical SASE and spiking Semi-classical FEL theory: quantum purification Fully quantum
More informationSimulations of the IR/THz Options at PITZ (High-gain FEL and CTR)
Case Study of IR/THz source for Pump-Probe Experiment at the European XFEL Simulations of the IR/THz Options at PITZ (High-gain FEL and CTR) Introduction Outline Simulations of High-gain FEL (SASE) Simulation
More informationExcitements and Challenges for Future Light Sources Based on X-Ray FELs
Excitements and Challenges for Future Light Sources Based on X-Ray FELs 26th ADVANCED ICFA BEAM DYNAMICS WORKSHOP ON NANOMETRE-SIZE COLLIDING BEAMS Kwang-Je Kim Argonne National Laboratory and The University
More informationUpdate on and the Issue of Circularly-Polarized On-Axis Harmonics
Update on FERMI@Elettra and the Issue of Circularly-Polarized On-Axis Harmonics W. Fawley for the FERMI Team Slides courtesy of S. Milton & Collaborators The FERMI@Elettra Project FERMI@Elettra is a single-pass
More informationfree- electron lasers I (FEL)
free- electron lasers I (FEL) produc'on of copious radia'on using charged par'cle beam relies on coherence coherence is achieved by insuring the electron bunch length is that desired radia'on wavelength
More informationA two-oscillator echo enabled tunable soft x-rays
A two-oscillator echo enabled tunable soft x-rays FLS 2010 Workshop SLAC J.S. Wurtele Co workers: P. Gandhi, X.-W. Gu, G. Penn, A. Zholents R. R. Lindberg, K.-J. Kim 1. Overview of scheme 2. Walkthrough
More informationTHE TESLA FREE ELECTRON LASER CONCEPT AND STATUS
THE TESLA FREE ELECTRON LASER CONCEPT AND STATUS J. Rossbach, for the TESLA FEL Collaboration Deutsches Elektronen-Synchrotron, DESY, 603 Hamburg, Germany Abstract The aim of the TESLA Free Electron Laser
More informationfree- electron lasers II (FEL)
free- electron lasers II (FEL) undulator radia+on in the lab frame has the wavelength undulator period l = u 2 2 beam Lorentz factor K = eb 0 = eb 0 u mck u 2 mc ' 0.934B 0[T] u[cm] 1+ K2 2 + 2 2 angle
More informationGeneration and characterization of ultra-short electron and x-ray x pulses
Generation and characterization of ultra-short electron and x-ray x pulses Zhirong Huang (SLAC) Compact XFEL workshop July 19-20, 2010, Shanghai, China Ultra-bright Promise of XFELs Ultra-fast LCLS Methods
More informationLongitudinal dynamics Yannis PAPAPHILIPPOU CERN
Longitudinal dynamics Yannis PAPAPHILIPPOU CERN United States Particle Accelerator School, University of California - Santa-Cruz, Santa Rosa, CA 14 th 18 th January 2008 1 Outline Methods of acceleration
More informationSuppression of Radiation Excitation in Focusing Environment * Abstract
SLAC PUB 7369 December 996 Suppression of Radiation Excitation in Focusing Environment * Zhirong Huang and Ronald D. Ruth Stanford Linear Accelerator Center Stanford University Stanford, CA 94309 Abstract
More informationLinac optimisation for the New Light Source
Linac optimisation for the New Light Source NLS source requirements Electron beam requirements for seeded cascade harmonic generation LINAC optimisation (2BC vs 3 BC) CSR issues energy chirp issues jitter
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 informationExcitements and Challenges for Future Light Sources Based on X-Ray FELs
Excitements and Challenges for Future Light Sources Based on X-Ray FELs 26th ADVANCED ICFA BEAM DYNAMICS WORKSHOP ON NANOMETRE-SIZE COLLIDING BEAMS Kwang-Je Kim Argonne National Laboratory and The University
More informationSASE FEL PULSE DURATION ANALYSIS FROM SPECTRAL CORRELATION FUNCTION
SASE FEL PULSE DURATION ANALYSIS FROM SPECTRAL CORRELATION FUNCTION Shanghai, 4. August. Alberto Lutman Jacek Krzywinski, Yuantao Ding, Yiping Feng, Juhao Wu, Zhirong Huang, Marc Messerschmidt X-ray pulse
More informationSTUDIES OF A TERAWATT X-RAY FREE-ELECTRON LASER
STUDIES OF A TERAWATT X-RAY FREE-ELECTRON LASER H.P. Freund, 1,2,3 1 Department of Electrical and Computer Engineering, University of New Mexico, Albuquerque, New Mexico USA 2 Department of Electrical
More informationShort Wavelength Regenerative Amplifier FELs (RAFELs)
Short Wavelength Regenerative Amplifier FELs (RAFELs) Neil Thompson, David Dunning ASTeC, Daresbury Laboratory, Warrington UK Brian McNeil Strathclyde University, Glasgow, UK Jaap Karssenberg & Peter van
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 informationCoherence Requirements for Various Seeding Schemes
Coherence Requirements for Various Seeding Schemes G. Penn 2.5 1 1 2. 1 1 sase 4 high current 4 low current SSSFEL12 Trieste 1 December 212 # photons / mev 1.5 1 1 1. 1 1 5. 1 9 1238.5 1239 1239.5 124
More informationLinac-based Free-Electron Lasers
inac-based Free-Electron asers Jörg Rossbach Hamburg University & DESY -9 July J. Rossbach: CERN acc.school, Brunnen: inac FEs Outline: Free Electron aser by finger physics Free Electron aser: ow Gain
More informationLayout of the HHG seeding experiment at FLASH
Layout of the HHG seeding experiment at FLASH V. Miltchev on behalf of the sflash team: A. Azima, J. Bödewadt, H. Delsim-Hashemi, M. Drescher, S. Düsterer, J. Feldhaus, R. Ischebeck, S. Khan, T. Laarmann
More information4. Complex Oscillations
4. Complex Oscillations The most common use of complex numbers in physics is for analyzing oscillations and waves. We will illustrate this with a simple but crucially important model, the damped harmonic
More informationSimulations of the IR/THz source at PITZ (SASE FEL and CTR)
Simulations of the IR/THz source at PITZ (SASE FEL and CTR) Introduction Outline Simulations of SASE FEL Simulations of CTR Summary Issues for Discussion Mini-Workshop on THz Option at PITZ DESY, Zeuthen
More informationResearch Letter Physics of Superpulses in Storage Ring Free-Electron Lasers
Research Letters in Physics Volume 8, Article ID 9869, pages doi:1.11/8/9869 Research Letter Physics of Superpulses in Storage Ring Free-Electron Lasers Vladimir N. Litvinenko Collider-Accelerator Department,
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 informationLCLS Commissioning Status
LCLS Commissioning Status Paul Emma (for the LCLS Commissioning Team) June 20, 2008 LCLS ANL LLNL UCLA FEL Principles Electrons slip behind EM wave by λ 1 per undulator period ( (λ u ) x K/γ e λ u v x
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 informationFree-Electron Lasers
Introduction to Free-Electron Lasers Neil Thompson ASTeC Outline Introduction: What is a Free-Electron Laser? How does an FEL work? Choosing the required parameters Laser Resonators for FELs FEL Output
More informationDeutsches Elektronen-Synchrotron (DESY), Notkestrasse 85, D Hamburg, space charge eld is found to be the main eect driving the instability.
TESLA-FEL-2003-02 May 2003 Longitudinal Space Charge Driven Microbunching Instability in TTF2 linac E.L. Saldin a, E.A. Schneidmiller a, M.V. Yurkov b a Deutsches Elektronen-Synchrotron (DESY), Notkestrasse
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 informationHARMONIC LASING OPTIONS FOR LCLS-II
MOP54 Proceedings of FEL4, Basel, Switzerland HARMONIC LASING OPTIONS FOR LCLS-II G. Marcus, Y. Ding, Z. Huang, T. Raubenheimer, SLAC, Menlo Park, CA 945, USA G. Penn, LBNL, Berkeley, CA 947, USA Copyright
More informationarxiv: v1 [physics.acc-ph] 23 Mar 2016
Modelling elliptically polarised Free Electron Lasers arxiv:1603.07155v1 [physics.acc-ph] 3 Mar 016 Submitted to: New J. Phys. J R Henderson 1,, L T Campbell 1,, H P Freund 3 and B W J M c Neil 1 1 SUPA,
More informationCharacterization of an 800 nm SASE FEL at Saturation
Characterization of an 800 nm SASE FEL at Saturation A.Tremaine*, P. Frigola, A. Murokh, C. Pellegrini, S. Reiche, J. Rosenzweig UCLA, Los Angeles, CA 90095 M. Babzien, I. Ben-Zvi, E. Johnson, R. Malone,
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 informationCSR Microbunching: Gain Calculation
CSR Microbunching: Gain Calculation Zhirong Huang, Kwang-Je Kim Argonne National Laboratory Integral Equation for CSR Microbunching For bunching parameter b at mod. wavelength λ = 2π/k b( k; where kernel
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 informationTHE TESLA FREE ELECTRON LASER
THE TESLA FREE ELECTRON LASER J. Rossbach, for the TESLA FEL collaboration DESY, Notkestrasse 85, D22603 Hamburg, Germany Abstract The TESLA Free Electron Laser (FEL) makes use of the high electron beam
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 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 information