Transcript Slide 1
__ _ _ ___ ) ( \/\/ ) ( ,) )( \ / ) ,\ (__) \/\/ (___/ ___ __ __ (__ \ / \ / \ / __/ ( () ) ( () ) \___) \__/ \__/ ( ___ / __) \__ \ (___/ __ / ,) (_ _) (_) FEL2004 Beam Stability Issues René Bakker [email protected] [email protected] / 10-Dec-2004 __ _ _ ___ ) ( \/\/ ) ( ,) )( \ / ) ,\ (__) \/\/ (___/ ___ __ __ (__ \ / \ / \ / __/ ( () ) ( () ) \___) \__/ \__/ ( • Proceedings will become available through JACoW: http://www.jacow.org • Preliminary proceedings available on conference web-site: http://www.elettra.trieste.it/fel2004/proceedings.html (papers & slides of oral presentations) • The abstract booklet, author and affiliation index is available at: http://www.elettra.trieste.it/fel2004/abook.html ___ / __) \__ \ (___/ __ / ,) (_ _) (_) [email protected] / 10-Dec-2004 __ _ _ ___ ) ( \/\/ ) ( ,) )( \ / ) ,\ (__) \/\/ (___/ ___ __ __ (__ \ / \ / \ / __/ ( () ) ( () ) \___) \__/ \__/ ( ___ / __) \__ \ (___/ __ / ,) (_ _) (_) Types of free-electron lasers: • Single-pass devices • Storage-ring FELs • High average-power devices I will just discuss some examples, for an extensive view, please visit: • the FEL2004 web-site: http://www.elettra.trieste.it/fel2004 • FEL virtual library: http://sbfel3.ucsb.edu/www/vl_fel.html [email protected] / 10-Dec-2004 __ _ _ ___ ) ( \/\/ ) ( ,) )( \ / ) ,\ (__) \/\/ (___/ ___ __ __ (__ \ / \ / \ / __/ ( () ) ( () ) \___) \__/ \__/ ( ___ / __) \__ \ (___/ __ / ,) (_ _) (_) Types of free-electron lasers: • Single-pass devices undulator • Storage-ring FELs S S • High average-power devices accelerator Accelerator N N N S N S S N N electron beam S bunch compressor High-brighness electron source [email protected] / 10-Dec-2004 __ _ _ ___ ) ( \/\/ ) ( ,) )( \ / ) ,\ (__) \/\/ (___/ ___ __ __ (__ \ / \ / \ / __/ ( () ) ( () ) \___) \__/ \__/ ( ___ / __) \__ \ (___/ __ / ,) (_ _) (_) Types of free-electron lasers: • Single-pass devices • Storage-ring FELs electron bunch • High average-power devices mirror undulator laser micropulse [email protected] / 10-Dec-2004 __ _ _ ___ ) ( \/\/ ) ( ,) )( \ / ) ,\ (__) \/\/ (___/ ___ __ __ (__ \ / \ / \ / __/ ( () ) ( () ) \___) \__/ \__/ ( ___ / __) \__ \ (___/ __ / ,) (_ _) (_) Types of free-electron lasers: • Single-pass devices • Storage-ring FELs • High average-power devices acceleration FEL + ERL: Energy Recovery Linac Concept Injector Accelerators Dump Undulator JLAB recirculating FEL deceleration FEL resonator [email protected] / 10-Dec-2004 __ _ _ ___ ) ( \/\/ ) ( ,) )( \ / ) ,\ (__) \/\/ (___/ ___ __ __ (__ \ / \ / \ / __/ ( () ) ( () ) \___) \__/ \__/ ( ___ / __) \__ \ (___/ __ / ,) (_ _) (_) Types of free-electron lasers: • Single-pass devices: high power / short wavelengths VUV X-ray • Storage-ring FELs: optical properties / spectrum visible VUV • High average-power: IR devices [email protected] / 10-Dec-2004 __ _ _ ___ ) ( \/\/ ) ( ,) )( \ / ) ,\ (__) \/\/ (___/ ___ __ __ (__ \ / \ / \ / __/ ( () ) ( () ) \___) \__/ \__/ ( ___ / __) \__ \ (___/ __ / ,) (_ _) (_) Single Pass FEL Activity TTF / XFEL 4GLS LEUTL MIT / Bates PAL – FEL LUX BESSY FEL SCSS LCLS LEG VISA / DUV FERMI SPARC / SPARX SC technology / NC technology [email protected] / 10-Dec-2004 __ _ _ ___ ) ( \/\/ ) ( ,) )( \ / ) ,\ (__) \/\/ (___/ ___ __ __ (__ \ / \ / \ / __/ ( () ) ( () ) \___) \__/ \__/ ( ___ / __) \__ \ (___/ __ / ,) (_ _) (_) Storage Ring & High Average Power FELs BINP / VEPP3 4GLS UVSOR JAERI FEL New SUBARU DFEL SACO IR-FEL EUFELE No longer operational [email protected] / 10-Dec-2004 __ _ _ ___ ) ( \/\/ ) ( ,) )( \ / ) ,\ (__) \/\/ (___/ ___ __ __ (__ \ / \ / \ / __/ ( () ) ( () ) \___) \__/ \__/ ( Existing FELs EXISTING FELs FEL-CAT UCSB mm FEL Novosibirsk (RTM) Korea (KAERI-FEL) Himeji (LEENA) UCSB (FIR FEL) Osaka (ILE/ILT) Osaka (ISIR) Tokai (JAERI-FEL) Bruyeres (ELSA) Osaka (FELI4) UCLA-Kurchatov LANL (RAFEL) Stanford (FIREFLY) UCLA-Kurchatov-LANL Maryland (MIRFEL) Beijing (BFEL) Dresden (ELBE1) Korea (KAERI HP FEL) Newport News (IR demo) Darmstadt (FEL) BNL (HGHG) Osaka (iFEL1) Tokyo (KHI-FEL) Nieuwegein (FELIX) Duke (MARKIII) Stanford (SCAFEL) Orsay (CLIO) Vanderbilt (FELI) Osaka (iFEL2) Nihon (LEBRA) UCLA-BNL (VISA) BNL (ATF) Dortmund (FELICITAI) BNL NSLS (DUVFEL) Orsay (Super-ACO) Osaka (iFEL3) Okazaki (UVSOR) Tsukuba (NIJI-IV) Italy (ELETTRA) Duke (OK-4) ANL (APSFEL) DESY (TTF1) (m) 760 340 120-180 97-1200 65-75 60 47 40 22 20 18-40 16 15.5 15-80 12 12-21 5-20 3-22 3-20 3, 6, 10 6-8 5.3 5.5 4-16 3-250 2.7-6.5 3-13 3-53 2.0-9.8 1.88 0.9-6.5 0.8 0.6 0.42 0.1 0.3-0.6 0.3-0.7 0.2-0.6 0.2-0.6 0.2-0.4 0.193-2.1 0.13 0.08-012 z (ps) 15-20 25000 70 25 10 25000 3 30 2.5-5 30 10 3 15 1-5 5 5 4 10 10-20 0.2 2 6 10 2 1 3 0.5-12 0.1-3 0.7 10 <1 0.5 6 50 0.7 15 5 6 14 28 0.1-10 0.3 0.04 E (MeV) 1.8 6 12 4.3-6.5 5.4 6 8 17 17 18 33 13.5 17 15-32 18 9-14 30 40 20-40 160 25-50 40 33.2 32-40 50 31-41.5 22-45 21-50 43 68 58-100 70.9 50 450 300 800 155 607 310 1000 1200 399 250 I (A) N 5 2 10 0.5 10 2 50 50 200 100 40 80 300 14 170 100 15-20 8 30 270 2.7 120 42 30 50 20 10 80 50 42 10-20 250 100 90 500 0.1 60 10 10 150 35 400 3000 16 42 2×33 80 50 150 50 32 52 30 30 40 200 25 100 73 50 2×34 30×2 25 80 60 58 43 38 47 72 38 52 78 50 220 70 17 256 2×10 67 2×9 2×42 2×19 2×33 648 492 ___ / __) \__ \ (___/ __ / ,) (_ _) (_) Proposed FELs 0 (cm) 2.5 7.1 12 2.5 1.6 2 2 6 3.3 3 8 1.5 2 6 2 1.4 3 2.73 3.5 20 3.2 3.3 3.4 3.2 6.5 2.3 3.1 5 2.3 3.8 4.8 1.8 0.88 25 3.9 13 4 11 7.2 10 10 3.3 2.73 K (rms) 0.75 0.7 0.71 1.0-1.6 0.5 0.1 0.5 1 0.7 0.8 1.3-1.7 1 0.9 1 0.7 0.2 1 0.3-0.8 0.5-0.8 4.5 1 1.44 1 0.7-1.8 1.8 1 0.8 1.4 1.3 1 0.7-1.4 1.2 0.4 2 0.7 4.5 1.4 2 2 4.2 0-4.75 2.2 0.81 Table 2: Proposed Free Electron Lasers (2004) RF,O EA,O RF,O MA,O RF,O EA,O RF,O RF,O RF,O RF,O RF,O RF,A RF,O RF,O RF,A RF,O RF,O RF,O RF,O RF,O RF,O RF,A RF,O RF,O RF,O RF,O RF,O RF,O RF,O RF,O RF,O RF,S RF,O SR,O RF,SH SR,O RF,O SR,O SR,O SR,O SR,O RF,S RF,S PROPOSED FELs Tokyo (FIR-FEL) Netherlands (TEUFEL) Rutgers (IRFEL) Novosibirsk (RTM1) Dresden (ELBE) Daresbury (4GLS-IRFEL) Novosibirsk (RTM) Frascati (SPARC) TJNAF (UVFEL) Hawaii (FEL) Harima (SUBARU) Shanghai (SDUV-FEL) Frascati (COSA) Daresbury (4GLS-VUV) Daresbury (4GLS-XUV) Duke (OK-5,VUV) DESY (TTF2) Italy (SPARX) BESSY (Soft X-ray) Trieste (FERMI) RIKEN (SPring8 SCSS) MIT (Bates X-Ray FEL) SLAC (LCLS) DESY (TESLA) Pohang (PAL X-FEL) (m) 300-1000 180 140 3-20 30-750 5-100 2-11 0.533 0.25-1 0.3-3 0.2-10 0.5-0.088 0.08 0.4-0.1 0.1-0.01 0.03-1 0.006 0.0015 0.0012 0.001-0.1 0.00036 0.0003 0.00015 0.0001 0.0003 z (ps) 5 20 25 10 1-5 0.2-1 20 0.1 0.2 2 26 1 10 0.1-1 0.1-1 0.1-10 0.17 0.1 0.08 0.1 0.5 0.05 0.07 0.08 0.1 E (MeV) 10 6 38 50 10-40 50 98 142 160 100 1500 300 215 600 600 1200 1000 2500 2300 3000 1000 4000 14350 30000 3000 I (A) 30 350 1.4 20-100 30 100 100 500 270 500 50 400 200 300 2000 50 2500 2500 3500 2500 2000 1000 3400 5000 4000 N 25 50 50 3×33 45 100 4×36 6×71 60 84 33,65 400 400 150 1000 4×32 981 1000 1450 570-1140 1500 1500 3328 4500 6000 0 (cm) 7 2.5 20 6 5 4 9 3 3.3 2.4 16,32 2.5 1.4 5 2 12 2.73 3 2.75 3.5 1.5 1.8 3 6 1.5 K (rms) 1.5-3.4 1 1 2 0.4-1.6 2 1.6 1.3 1.3 1.2 8 1.025 1 2 1 3 0.9 1.2 0.9 1.2 1.3 2 3.7 3.2 1.1 RF,O RF,O MA,O RF,O RF,O RF,O RF,O RF,S RF,O RF,O SR,O RF,O RF,O RF,O RF,S SR,O RF,S RF,S RF,S RF,S RF,S RF,S RF,S RF,S RF,S W.B. Colson - THPOS58 [email protected] / 10-Dec-2004 __ _ _ ___ ) ( \/\/ ) ( ,) )( \ / ) ,\ (__) \/\/ (___/ ___ __ __ (__ \ / \ / \ / __/ ( () ) ( () ) \___) \__/ \__/ ( Storage-Ring FELs ___ / __) \__ \ (___/ __ / ,) (_ _) (_) The ELETTRA Storage Ring FEL optical cavity length 32.4 m 4.5 m helical undulator beamline FEL beam intensity (a.u.) -e Storage ring operation* Tunability range = 189.95 nm = 0.06 nm = 0.03 % 189.0 189.5 190.0 190.5 wavelength (nm) 191.0 1.0 GeV 350 – 190 nm 3.5 – 6.5 eV 1 W ~ 5 ps 40 kW 0.2 mJ 1018 photons/s circular (linear may also be possible) 4.6 MHz 1:1 Average power Pulse length (FWHM) Peak power Pulse energy Photon flux** Polarization Repetition rate Synchronization with synchrotron radiation * 4-bunch operation, **within the laser bandwidth [email protected] / 10-Dec-2004 __ _ _ ___ ) ( \/\/ ) ( ,) )( \ / ) ,\ (__) \/\/ (___/ ___ __ __ (__ \ / \ / \ / __/ ( () ) ( () ) \___) \__/ \__/ ( Storage-Ring FELs ___ / __) \__ \ (___/ __ / ,) (_ _) (_) Critical Issues: • Longitudinal stability of electron beam: rountrip time of the optical cavity must match the bunch-spacing electron bunch M. Trovò THPOS09 mirror undulator laser micropulse [email protected] / 10-Dec-2004 __ _ _ ___ ) ( \/\/ ) ( ,) )( \ / ) ,\ (__) \/\/ (___/ ___ __ __ (__ \ / \ / \ / __/ ( () ) ( () ) \___) \__/ \__/ ( Storage-Ring FELs ___ / __) \__ \ (___/ __ / ,) (_ _) (_) Critical Issues: • Longitudinal stability: rountrip time of the optical cavity must match the bunch-spacing (stability of RF frequency and longitudinal modes) • Transverse stability: wavelength 2 2 1 K rms ( ) 2 Gain g 1/ u 2 typically micron accuricy required 2 mirror electron bunch undulator laser micropulse [email protected] / 10-Dec-2004 __ _ _ ___ ) ( \/\/ ) ( ,) )( \ / ) ,\ (__) \/\/ (___/ ___ __ __ (__ \ / \ / \ / __/ ( () ) ( () ) \___) \__/ \__/ ( Storage-Ring FELs ___ / __) \__ \ (___/ __ / ,) (_ _) (_) Critical Issues: • Longitudinal stability: rountrip time of the optical cavity must match the bunch-spacing S-ACO: • Transverse stability: wavelength TEM00 TEMnn more stability Gain more gain L Transverse Cavity Stability! R2 z heat-load R1 w0 M2 M1 [email protected] / 10-Dec-2004 __ _ _ ___ ) ( \/\/ ) ( ,) )( \ / ) ,\ (__) \/\/ (___/ ___ __ __ (__ \ / \ / \ / __/ ( () ) ( () ) \___) \__/ \__/ ( ___ / __) \__ \ (___/ __ / ,) (_ _) (_) Cavity Stability • Storage-ring FEL Important issue: e.g., 1 W of average output power 200 W of intra-cavity power • High average-power IR FEL e.g., JLAB FEL: > 10 kW average output power, i.e., more than 100 kW average intra-cavity power. ref: TUCOS02, TUBOS03 [email protected] / 10-Dec-2004 __ _ _ ___ ) ( \/\/ ) ( ,) )( \ / ) ,\ (__) \/\/ (___/ ___ __ __ (__ \ / \ / \ / __/ ( () ) ( () ) \___) \__/ \__/ ( ___ / __) \__ \ (___/ __ / ,) (_ _) (_) High average-power lasers: FEL challenge (JLAB) • FELs need a high peak current. – a factor of 4 growth in the longitudinal emittance due to space charge. – longer electron bunches in the injector can reduce space charge effects but reduces the machine acceptance. – • Halo loss initially limited the average current. Resonator FELs need a high average current – Bunch spacing must match the cavity length. Injector acceleration Accelerators Dump Beam break-up limits avarege current 3 mA 8 mA Undulator deceleration JLAB recirculating FEL FEL resonator [email protected] / 10-Dec-2004 __ _ _ ___ ) ( \/\/ ) ( ,) )( \ / ) ,\ (__) \/\/ (___/ ___ __ __ (__ \ / \ / \ / __/ ( () ) ( () ) \___) \__/ \__/ ( ___ / __) \__ \ (___/ __ / ,) (_ _) (_) High average-power lasers: FEL challenge (JLAB) • Beam break-up – Cavity design: suppression of HOMs – Clever optics (damping of transverse motion) • Nice presentation by T.I. Smith: WEBOS03 Injector Accelerators Dump Beam break-up limits avarege current Undulator JLAB recirculating FEL FEL resonator [email protected] / 10-Dec-2004 __ _ _ ___ ) ( \/\/ ) ( ,) )( \ / ) ,\ (__) \/\/ (___/ ___ __ __ (__ \ / \ / \ / __/ ( () ) ( () ) \___) \__/ \__/ ( ___ / __) \__ \ (___/ __ / ,) (_ _) (_) High average-power lasers: FEL challenge (JLAB) • Challenges of recovering the beam – RF kicks reversed for recovered beam – No two pass BPMs – Chromatic effects lead to betatron mismatch, causing beam loss. – Need energy/phase correction to third order (octupoles are required) – Operating close to crest does not provide enough footroom. Injector Accelerators Dump Undulator JLAB recirculating FEL FEL resonator [email protected] / 10-Dec-2004 __ _ _ ___ ) ( \/\/ ) ( ,) )( \ / ) ,\ (__) \/\/ (___/ ___ __ __ (__ \ / \ / \ / __/ ( () ) ( () ) \___) \__/ \__/ ( ___ / __) \__ \ (___/ __ / ,) (_ _) (_) Single Pass Devices undulator S S accelerator Accelerator N N N S N S S N N electron beam S bunch compressor High-brighness electron source Start-Up from Noise (SASE) [email protected] / 10-Dec-2004 __ _ _ ___ ) ( \/\/ ) ( ,) )( \ / ) ,\ (__) \/\/ (___/ ___ __ __ (__ \ / \ / \ / __/ ( () ) ( () ) \___) \__/ \__/ ( ___ / __) \__ \ (___/ __ / ,) (_ _) (_) Single Pass Devices undulator S S accelerator N N N S N S S N N electron beam S SEED Accelerator bunch compressor High-brighness electron source Controlled Startup (SEED) [email protected] / 10-Dec-2004 __ _ _ ___ ) ( \/\/ ) ( ,) )( \ / ) ,\ (__) \/\/ (___/ ___ __ __ (__ \ / \ / \ / __/ ( () ) ( () ) \___) \__/ \__/ ( ___ / __) \__ \ (___/ __ / ,) (_ _) (_) Single-Pass Devices • Startup from noise (auto-start): SASE – – – – Relatively easy Flexible for wavelength tuning High output power Spiky • Seeded startup – – – – Improved spectral purity Suppression of spiking Control over the μ-pulse duration (Longitudinal jitter defined by seed) [email protected] / 10-Dec-2004 __ _ _ ___ ) ( \/\/ ) ( ,) )( \ / ) ,\ (__) \/\/ (___/ ___ __ __ (__ \ / \ / \ / __/ ( () ) ( () ) \___) \__/ \__/ ( Seeded FEL: HGHG (BNL) ___ / __) \__ \ (___/ __ / ,) (_ _) (_) Intensity (a.u.) HGHG Courtesy Li Hua Yu (BNL) 0.23 nm FWHM SASE x105 wavelength (nm) [email protected] / 10-Dec-2004 __ _ _ ___ ) ( \/\/ ) ( ,) )( \ / ) ,\ (__) \/\/ (___/ ___ __ __ (__ \ / \ / \ / __/ ( () ) ( () ) \___) \__/ \__/ ( ___ / __) \__ \ (___/ __ / ,) (_ _) (_) Single-Pass Devices • Startup from noise (auto-start): SASE – – – – Relatively easy Flexible for wavelength tuning High output power Spiky LCLS, TTF, X-FEL, SPARC, ….. • Seeded startup – – – – Improved spectral purity Suppression of spiking Control over the μ-pulse duration (Longitudinal jitter defined by seed) BESSY, FERMI, TTF, LUX, MIT, ……. LCLS, X-FEL, …… [email protected] / 10-Dec-2004 __ Single-Pass Devices Courtesy T. Shintake, RIKEN/SPring8, MOBIS01 _ _ ___ ) ( \/\/ ) ( ,) )( \ / ) ,\ (__) \/\/ (___/ ___ __ __ (__ \ / \ / \ / __/ ( () ) ( () ) \___) \__/ \__/ ( ___ / __) \__ \ (___/ __ / ,) (_ _) (_) [email protected] / 10-Dec-2004 __ _ _ ___ ) ( \/\/ ) ( ,) )( \ / ) ,\ (__) \/\/ (___/ ___ __ __ (__ \ / \ / \ / __/ ( () ) ( () ) \___) \__/ \__/ ( Single-Pass Devices ___ / __) \__ \ (___/ __ / ,) (_ _) (_) Storage Ring vs. LINAC Storage Ring LINAC Machine condition Steady state Transient / Pulsed Trajectory Closed orbit (eigen-vector) Open trajectory (no eigen-vector) Damping Synchrotron damping No damping Dynamic aperture of machine ~1 kHz (narrow tune resonance) No clearing dark currents may propagate ~GHz (no resonance) Beam clearing Noise bandwidth Energy and intensity 10-5 – 10-6 stability Courtesy T. Shintake, RIKEN/SPring8, MOBIS01 - MODIFIED 10-2 – 10-3 [email protected] / 10-Dec-2004 __ _ _ ___ ) ( \/\/ ) ( ,) )( \ / ) ,\ (__) \/\/ (___/ ___ __ __ (__ \ / \ / \ / __/ ( () ) ( () ) \___) \__/ \__/ ( Single-Pass Devices ___ / __) \__ \ (___/ __ / ,) (_ _) (_) Beam Energy Stability u 2 1 K 2 rms 2 2 4 10 FEL Courtesy T. Shintake, RIKEN/SPring8, MOBIS01 [email protected] / 10-Dec-2004 __ Single-Pass Devices _ _ ___ ) ( \/\/ ) ( ,) )( \ / ) ,\ (__) \/\/ (___/ ___ __ __ (__ \ / \ / \ / __/ ( () ) ( () ) \___) \__/ \__/ ( ___ / __) \__ \ (___/ __ / ,) (_ _) (_) Sources of jitter • AC line fluctuations power supply fluctuations: gun, RF, orbit, ….. • Switch-tune pulse-to-pulse jitter • Switching noise fluctuations • AD/DA digitizing noise • Temperature fluctuations LINAC, electrical circuits …. • Ground motion natural, human activity Feed-back is mostly not possible Feed-forward: • between micro-pulses • between macro-pulses [email protected] / 10-Dec-2004 __ _ _ ___ ) ( \/\/ ) ( ,) )( \ / ) ,\ (__) \/\/ (___/ ___ __ __ (__ \ / \ / \ / __/ ( () ) ( () ) \___) \__/ \__/ ( Single-Pass Devices ___ / __) \__ \ (___/ __ / ,) (_ _) (_) Electron-Beam Stability • Transverse stability – Low energy (injector): transverse emittance dilution (depends on the RF-frequency: X-band more sensitive than L-band) – Beam break-up at high average current operation – High energy (undulator): gain reduction and wavelength jitter typically a (few) micron orbit accuracy • Longitudinal stability (bunch / RF phase) – Energy fluctuations – Current fluctuations FEL gain fluctuations – Temporal jitter with synchronized sources locked to seed laser Talking about femto-second and atto-second sources [email protected] / 10-Dec-2004 __ _ _ ___ ) ( \/\/ ) ( ,) )( \ / ) ,\ (__) \/\/ (___/ ___ __ __ (__ \ / \ / \ / __/ ( () ) ( () ) \___) \__/ \__/ ( Single-Pass Devices ___ / __) \__ \ (___/ __ / ,) (_ _) (_) Transverse Orbit / Undulator • General guideline (not necessarily correct): – Control orbit up to 10 % of the beam diameter εn = 10-6 m rad, E = 2.5 GeV, β = 10 m Δx,y = 4.5 μm εn = 10-6 m rad, E = 20 GeV, β = 10 m Δx,y = 1.6 μm εn = 10-7 m rad, E = 6.0 GeV, β=7m Δx,y = 0.8 μm • (BESSY) (XFEL) (LEG) Sextupole fields of undulator may cause tougher constraints, specifically for short-period, small-gap undulators. N.B. CSR in magnetic bunch-compressors may kick parts of the electron bunch off-axis in the horizontal plate. [email protected] / 10-Dec-2004 __ _ _ ___ ) ( \/\/ ) ( ,) )( \ / ) ,\ (__) \/\/ (___/ ___ __ __ (__ \ / \ / \ / __/ ( () ) ( () ) \___) \__/ \__/ ( ___ / __) \__ \ (___/ __ / ,) (_ _) (_) [email protected] / 10-Dec-2004 Courtesy T. Shintake, RIKEN/SPring8, __ _ _ ___ ) ( \/\/ ) ( ,) )( \ / ) ,\ (__) \/\/ (___/ ___ __ __ (__ \ / \ / \ / __/ ( () ) ( () ) \___) \__/ \__/ ( ___ / __) \__ \ (___/ __ / ,) (_ _) (_) SCSS undulator concept Courtesy T. Shintake, RIKEN/SPring8, MOBIS01 [email protected] / 10-Dec-2004 __ _ _ ___ ) ( \/\/ ) ( ,) )( \ / ) ,\ (__) \/\/ (___/ ___ __ __ (__ \ / \ / \ / __/ ( () ) ( () ) \___) \__/ \__/ ( ___ / __) \__ \ (___/ __ / ,) (_ _) (_) Gain Length electron beam undulator photon beam spontaneous emission radiated log( power ) energy modulation / bunching beam dump λ coherent emission saturation Lsat ≈ 15 – 20 Lg 106 - 109 z1 Lg z2 z Lg = z2 – z1, P(z2)/P(z1) = e [email protected] / 10-Dec-2004 __ _ _ ___ ) ( \/\/ ) ( ,) )( \ / ) ,\ (__) \/\/ (___/ ___ __ __ (__ \ / \ / \ / __/ ( () ) ( () ) \___) \__/ \__/ ( Single-Pass Devices ___ / __) \__ \ (___/ __ / ,) (_ _) (_) Transverse Orbit / Undulator • • Electron beam orbit must be controlled over a few gain-lengths. Within this distance: gain reduction L'g Lg /(1 x 2 ) x / c , c / Lg Y.-C. Chae et al (APS) MOBOS03 T. Tanaka, et al., FEL 2003 • Over larger distances the overlap between optical field and the electron beam may disappear. In such a case, the microbunching will re-initiate the FEL process over a few undulator periods only. [email protected] / 10-Dec-2004 __ _ _ ___ ) ( \/\/ ) ( ,) )( \ / ) ,\ (__) \/\/ (___/ ___ __ __ (__ \ / \ / \ / __/ ( () ) ( () ) \___) \__/ \__/ ( • • • • Alignment tolerances for single undulators ħω Isochronous bend: λ < 50 nm Stable saturation Beam break-up in linac G1 roundtrip > 1 dump linac gun bunching undulator Problems, e.g.,: isochronous bend radiation High-Gain Ring FEL ___ / __) \__ \ (___/ __ / ,) (_ _) (_) High-Gain Ring FEL N.A. Vinokurov, A.N. Matveenko – THPOS45 [email protected] / 10-Dec-2004