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Characterization of the Time Structure of FEL Radiation

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Synchrotron Light Sources and Free-Electron Lasers

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Abstract

Free-electron laser sources provide ultrashort pulses in the extreme ultraviolet and x-ray spectral regime with unprecedented brilliance and coherence properties. For experiments with these sources, photon diagnostics of individual pulses concerning pulse energy, spectral content, coherence properties, and pulse duration is mandatory. Among these pulse properties, the characterization of the pulse duration and in particular the temporal shape of the photon pulse coming from the FEL’s are very challenging. We will discuss different experimental approaches to obtain information on the temporal properties of FEL pulses.

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Abbreviations

CCD:

charge-coupled device

CTR:

coherent transition radiation

DESY:

Deutsches Elektronen-Synchrotron

ELETTRA:

Elettra-Sincrotrone Trieste

FEL:

free-electron laser

FERMI:

free-electron laser at Elettra-Sincrotrone Trieste

FLASH:

free-electron LASer Hamburg

HGHG:

high-gain harmonic generation

IR:

infrared

LCLS:

Linac Coherent Light Source

RF:

radio frequency

RMS:

root mean square

SACLA:

SPring-8 Angstrom Compact Free Electron Laser

SASE:

self-amplified spontaneous emission

SLAC:

Stanford Linear Accelerator Center

TCAV:

transverse deflecting cavity

TDS:

transverse deflecting structure

THz:

terahertz

XUV:

extreme ultraviolet

Ce-YAG:

cerium doped yttrium aluminum garnet

References

  • W. Ackermann, G. Asova, V. Ayvazyan, A. Azima, N. Baboi, J. Bähr, V. Balandin, B. Beutner, A. Brandt, A. Bolzmann, R. Brinkmann, O.I. Brovko, M. Castellano, P. Castro, L. Catani, E. Chiadroni, S. Choroba, A. Cianchi, J.T. Costello, D. Cubaynes, J. Dardis, W. Decking, H. Delsim-Hashemi, A. Delserieys, G. Di Pirro, M. Dohlus, S. Düsterer, A. Eckhardt, H.T. Edwards, B. Faatz, J. Feldhaus, K. Flöttmann, J. Frisch, L. Fröhlich, T. Garvey, U. Gensch, C. Gerth, M. Görler, N. Golubeva, H.J. Grabosch, M. Grecki, O. Grimm, K. Hacker, U. Hahn, J.H. Han, K. Honkavaara, T. Hott, M. Hüning, Y. Ivanisenko, E. Jaeschke, W. Jalmuzna, T. Jezynski, R. Kammering, V. Katalev, K. Kavanagh, E.T. Kennedy, S. Khodyachykh, K. Klose, V. Kocharyan, M. Körfer, M. Kollewe,W. Koprek, S. Korepanov, D. Kostin, M. Krassilnikov, G. Kube, M. Kuhlmann, C.L.S. Lewis, L. Lilje, T. Limberg, D. Lipka, F. Löhl, H. Luna, M. Luong, M. Martins, M. Meyer, P. Michelato, V. Miltchev, W.D. Möller, L. Monaco, W.F.O. Müller, O. Napieralski, O. Napoly, P. Nicolosi, D. Nölle, T. Nunez, A. Oppelt, C. Pagani, R. Paparella, N. Pchalek, J. Pedregosa-Gutierrez, B. Petersen, B. Petrosyan, G. Petrosyan, L. Petrosyan, J. Pflüger, E. Plönjes, L. Poletto, K. Pozniak, E. Prat, D. Proch, P. Pucyk, P. Radcliffe, H. Redlin, K. Rehlich, M. Richter, M. Roehrs, J. Roensch, R. Romaniuk, M. Ross, J. Rossbach, V. Rybnikov, M. Sachwitz, E.L. Saldin, W. Sandner, H. Schlarb, B. Schmidt, M. Schmitz, P. Schmüser, J. R. Schneider, E.A. Schneidmiller, S. Schnepp, S. Schreiber, M. Seidel, D. Sertore, A.V. Shabunov, C. Simon, S. Simrock, E. Sombrowski, A.A. Sorokin, P. Spanknebel, R. Spesyvtsev, L. Staykov, B. Steffen, F. Stephan, F. Stulle, H. Thom, K. Tiedtke, M. Tischer, S. Toleikis, R. Treusch, D. Trines, I. Tsakov, E. Vogel, T. Weiland, H. Weise, M. Wellhöfer, M. Wendt, I. Will, A. Winter, K. Wittenburg, W. Wurth, P. Yeates, M.V. Yurkov, I. Zagorodnov, K. Zapfe, Operation of a free-electron laser from the extreme ultraviolet to the water window. Nat. Photon. 1, 336–342 (2007)

    Google Scholar 

  • E. Allaria, D. Castronovo, P. Cinquegrana, P. Craievich, M. Dal Forno, M.B. Danailov, G. D’Auria, A. Demidovich, G. De Ninno, S. Di Mitri, B. Diviacco, W.M. Fawley, M. Ferianis, E. Ferrari, L. Froehlich, G. Gaio, D. Gauthier, L. Giannessi, R. Ivanov, B. Mahieu, N. Mahne, I. Nikolov, F. Parmigiani, G. Penco, L. Raimondi, C. Scafuri, C. Serpico, P. Sigalotti, S. Spampinati, C. Spezzani, M. Svandrlik, C. Svetina, M. Trovo, M. Veronese, D. Zangrando, M. Zangrando, Two-stage seeded soft-X-ray free-electron laser. Nat. Photon. 7, 913–918 (2013)

    Google Scholar 

  • E. Allaria, M.B. Danailov, W.M. Fawley, L. Giannessi, E. Ferrari, Measurements of the FEL-bandwidth scaling with harmonic number in a HGHG FEL, MOP077, in Proceedings of the FEL, 2014, Basel

    Google Scholar 

  • C. Behrens, N. Gerasimova, Ch. Gerth, B. Schmidt, E.A. Schneidmiller, S. Serkez, S.Wesch, M.V. Yurkov, Constraints on photon pulse duration from longitudinal electron beam diagnostics at a soft x-ray free-electron laser. Phys. Rev. ST Accel. Beams 15, 030707-1–030707-12 (2012)

    Google Scholar 

  • C. Behrens, F.-J. Decker, Y. Ding, V.A. Dolgashev, J. Frisch, Z. Huang, P. Krejcik, H. Loos, A. Lutman, T.J. Maxwell, J. Turner, J. Wang, M.-H. Wang, J. Welch, J. Wu, Few-femtosecond time-resolved measurements of X-ray free-electron lasers. Nat. Comm. (2014). doi:10.1038/ncomms4762

    Google Scholar 

  • R. Bonifacio, L. De Salvo, P. Pierini, N. Piovella, C. Pellegrini, Spectrum, temporal structure, and fluctuations in a high-gain free-electron laser starting from noise. Phys. Rev. Lett. 73, 70–73 (1994)

    Article  ADS  Google Scholar 

  • Y. Ding, C. Behrens, P. Emma, J. Frisch, Z. Huang, H. Loos, P. Krejcik, M.-H. Wang, Femtosecond X-ray pulse temporal characterization in free-electron lasers using a transverse detector. Phys. Rev. ST Accel. Beams 14, 120701 (2011)

    Article  ADS  Google Scholar 

  • Y. Ding, F.-J. Decker, P. Emma, C. Feng, C. Field, J. Frisch, Z. Huang, J. Krzywinski, H. Loos, J. Welch, J. Wu, F. Zhou, Femtosecond X-ray pulse characterization in free-electron lasers using a cross-correlation technique. Phys. Rev. Lett. 109, 254802 (2012)

    Article  ADS  Google Scholar 

  • S. Düsterer, P. Radcliffe, C. Bostedt, J. Bozek, A.L. Cavalieri, R. Coffee, J.T. Costello, D. Cubaynes, L.F. DiMauro, Y. Ding, G. Doumy, F. Grüner, W. Helml, W. Schweinberger, R. Kienberger, A.R. Maier, M. Messerschmidt, V. Richardson, C. Roedig, T. Tschentscher, M. Meyer, Femtosecond X-ray pulse length characterization at the LCLS free electron laser. New J. Phys. 13, 093024 (2011)

    Article  Google Scholar 

  • S. Düsterer, M. Rehders, A. Al-Shemmary, C. Behrens, G. Brenner, O. Brovko, M. DellAngela, M. Drescher, B. Faatz, J. Feldhaus, U. Frühling, N. Gerasimova, N. Gerken, C. Gerth, T. Golz, A. Grebentsov, E. Hass, K. Honkavaara, V. Kocharian, M. Kurka, Th. Limberg, R. Mitzner, R. Moshammer, E. Plönjes, M. Richter, J. Rönsch-Schulenburg, A. Rudenko, H. Schlarb, B. Schmidt, A. Senftleben, E. A. Schneidmiller, B. Siemer, F. Sorgenfrei, A. A. Sorokin, N. Stojanovic, K. Tiedtke, R. Treusch, M. Vogt, M. Wieland, W. Wurth, S. Wesch, M. Yan, M.V. Yurkov, H. Zacharias, S. Schreiber, Development of experimental techniques for the characterization of ultrashort photon pulses of extreme ultraviolet free-electron lasers. Phys. Rev. ST Accel. Beams 17, 120702 (2014)

    Google Scholar 

  • P. Emma, K. Bane, M. Cornacchia, Z. Huang, H. Schlarb, G. Stupakov, D. Walz, Femtosecond and subfemtosecond X-ray pulses from a self-amplified spontaneous-emission–based free-electron laser. Phys. Rev. Lett. 92, 074801 (2004)

    Article  ADS  Google Scholar 

  • P. Emma, R. Akre, J. Arthur, R. Bionta, C. Bostedt, J. Bozek, A. Brachmann, P. Bucksbaum, R. Coffee, F.J. Decker, Y. Ding, D. Dowell, S. Edstrom, A. Fisher, J. Frisch, S. Gilevich, J. Hastings, G. Hays, P. Hering, Z. Huang, R. Iverson, H. Loos, M. Messerschmidt, A. Miahnahri, S. Moeller, H.D. Nuhn, G. Pile, D. Ratner, J. Rzepiela, D. Schultz, T. Smith, P. Stefan, H. Tompkins, J. Turner, J. Welch, W. White, J. Wu, G. Yocky, J. Galayda, First lasing and operation of an angstrom-wavelength free-electron laser. Nat. Photon. 4, 641–647 (2010)

    Google Scholar 

  • R. Engel, S. Düsterer, G. Brenner, U. Teubner, Real-time photon pulse duration measurement by analysis of FEL radiation spectra. J. Synchrotron Radiat. (in press)

    Google Scholar 

  • U. Frühling , M. Wieland, M. Gensch, T. Gebert, B. Schütte, M. Krikunova, R. Kalms, F. Budzyn, O. Grimm, J. Rossbach, E. Plönjes, M. Drescher, Single-shot terahertz-field-driven X-ray streak camera. Nat. Photon. 3, 523–528 (2009)

    Article  ADS  Google Scholar 

  • C. Gahl, A. Azima, M. Beye, M. Deppe, K. Döbrich, U. Hasslinger, F. Hennies, A. Melnikov, M. Nagasono, A. Pietzsch, M. Wolf, W. Wurth, A. Föhlisch, A femtosecond X-ray/optical cross-correlator. Nat. Photon. 2, 165–169 (2008)

    Article  ADS  Google Scholar 

  • J.W. Goodman, Statistical Optics (Wiley, New York, 2000)

    Google Scholar 

  • I. GrguraÅ¡, A.R. Maier, C. Behrens, T. Mazza, T.J. Kelly, P. Radcliffe, S. Düsterer, A.K. Kazansky, N.M. Kabachnik, Th. Tschentscher, J.T. Costello, M. Meyer, M.C. Hoffmann, H. Schlarb, A.L. Cavalieri, Ultrafast X-ray pulse characterization at free-electron lasers. Nat. Photon. 6, 852–857 (2012)

    Article  ADS  Google Scholar 

  • W. Helml, A.R. Maier, W. Schweinberger, I. GrguraÅ¡, P. Radcliffe, G. Doumy, C. Roedig, J. Gagnon, M. Messerschmidt, S. Schorb, C. Bostedt, F. Grüner, L.F. DiMauro, D. Cubaynes, J.D. Bozek, Th. Tschentscher, J.T. Costello, M. Meyer, R. Coffee, S. Düsterer, A.L. Cavalieri, R. Kienberger, Measuring the temporal structure of few-femtosecond free-electron laser X-ray pulses directly in the time domain. Nat. Photon. 8, 950 (2014)

    Article  ADS  Google Scholar 

  • Z. Huang, K.J. Kim, Review of X-ray free-electron laser theory. Phys. Rev. ST Accel. Beams 10, 034801-1–034801-26 (2007)

    Google Scholar 

  • Y. Inubushi, K. Tono, T. Togashi, T. Sato, T. Hatsui, T. Kameshima, K. Togawa, T. Hara, T. Tanaka, H. Tanaka, T. Ishikawa, M. Yabashi, Determination of the pulse duration of an X-ray free electron laser using highly resolved single-shot spectra. Phys. Rev. Lett. 109, 144801 (2012)

    Article  ADS  Google Scholar 

  • T. Ishikawa, H. Aoyagi, T. Asaka, Y. Asano, N. Azumi, T. Bizen, H. Ego, K. Fukami, T. Fukui, Y. Furukawa, S. Goto, H. Hanaki, T. Hara, T. Hasegawa, T. Hatsui, A. Higashiya, T. Hirono, N. Hosoda, M. Ishii, T. Inagaki, Y. Inubushi, T. Itoga, Y. Joti, M. Kago, T. Kameshima, H. Kimura, Y. Kirihara, A. Kiyomichi, T. Kobayashi, C. Kondo, T. Kudo, H. Maesaka, X. M. Marechal, T. Masuda, S. Matsubara, T. Matsumoto, T. Matsushita, S. Matsui, M. Nagasono, N. Nariyama, H. Ohashi, T. Ohata, T. Ohshima, S. Ono, Y. Otake, C. Saji, T. Sakurai, T. Sato, K. Sawada, T. Seike, K. Shirasawa, T. Sugimoto, S. Suzuki, S. Takahashi, H. Takebe, K. Takeshita, K. Tamasaku, H. Tanaka, R. Tanaka, T. Tanaka, T. Togashi, K. Togawa, A. Tokuhisa, H. Tomizawa, K. Tono, S. Wu, M. Yabashi, M. Yamaga, A. Yamashita, K. Yanagida, C. Zhang, T. Shintake, H. Kitamura, N. Kumagai, A compact X-ray free-electron laser emitting in the sub-angstrom region. Nat. Photon. 6, 540–544 (2012)

    Google Scholar 

  • S. Krinsky, R.L. Gluckstern, Analysis of statistical correlations and intensity spiking in the self-amplified spontaneous-emission free-electron laser. Phys. Rev. ST Accel. Beams 6, 050701 (2003)

    Article  ADS  Google Scholar 

  • A.A. Lutman, Y. Ding, Y. Feng, Z. Huang, M. Messerschmidt, J. Wu, J. Krzywinski, Femtosecond X-ray free electron laser pulse duration measurement from spectral correlation function. Phys. Rev. ST Accel. Beams 15, 030705 (2012)

    Article  ADS  Google Scholar 

  • M. Martins, M. Wellhöfer, J.T. Hoeft, W. Wurth, J. Feldhaus, R. Follath, Monochromator beamline for FLASH. Rev. Sci. Instrum. 77, 115108 (2006)

    Article  ADS  Google Scholar 

  • T.J. Maxwell, C. Behrens, Y. Ding, A.S. Fisher, J. Frisch, Z. Huang, H. Loos, Coherent-radiation spectroscopy of few-femtosecond electron bunches using a middle-infrared prism spectrometer. Phys. Rev. Lett. 111, 184801 (2013)

    Article  ADS  Google Scholar 

  • N. Medvedev, B. Ziaja, M. Cammarata, M. Harmand, S. Toleikis, Electron kinetics in femtosecond X-ray irradiated SiO2,Contrib. Plasma Phys. 53(4–5), 347–354 (2013)

    Article  Google Scholar 

  • R. Mitzner, A.A. Sorokin, B. Siemer, S. Roling, M. Rutkowski, H. Zacharias, M. Neeb, T. Noll, F. Siewert, W. Eberhardt, M. Richter, P. Juranic, K. Tiedtke, J. Feldhaus, Direct autocorrelation of soft-X-ray free-electron-laser pulses by time-resolved two-photon double ionization of He. Phys. Rev. A 80, 025402 (2009)

    Article  ADS  Google Scholar 

  • R. Mitzner, B. Siemer, M. Neeb, T. Noll, F. Siewert, S. Roling, M. Rutkowski, A.A. Sorokin, M. Richter, P. Juranic, K. Tiedtke, J. Feldhaus, W. Eberhardt, H. Zacharias, Spatio-temporal coherence of free electron laser pulses in the soft x-ray regime. Opt. Express 16, 19909–19919 (2009)

    Article  ADS  Google Scholar 

  • R. Moshammer, Th. Pfeifer, A. Rudenko, Y. H. Jiang, L. Foucar, M. Kurka, K. U. Kühnel, C. D. Schröter, J. Ullrich, O. Herrwerth, M.F. Kling, X.-J. Liu, K. Motomura, H. Fukuzawa, A. Yamada, K. Ueda, K.L. Ishikawa, K. Nagaya, H. Iwayama, A. Sugishima, Y. Mizoguchi, S. Yase, M. Yao, N. Saito, A. Belkacem, M. Nagasono, A. Higashiya, M. Yabashi, T. Ishikawa, H. Ohashi, H. Kimura, T. Togashi, Second-order autocorrelation of XUV FEL pulses via time resolved two-photon single ionization of He. Opt. Express 19, 21698–21706 (2011)

    Google Scholar 

  • D. Ratner, A. Fry, G. Stupakov, W. White, Laser phase errors in seeded free electron lasers. Phys. Rev. ST Accel. Beams 15, 030702-1–030702-8 (2012)

    Google Scholar 

  • R. Riedel, A. Al-Shemmary, M. Gensch, T. Golz, M. Harmand, N. Medvedev, M.J. Prandolini, K. Sokolowski-Tinten, S. Toleikis, U. Wegner, B. Ziaja, N. Stojanovic, F. Tavella, Single-shot pulse duration monitor for extreme ultraviolet and X-ray free-electron lasers. Nat. Commun. (2013). doi:10.1038/ncomms2754

    Google Scholar 

  • M. Röhrs, Ch. Gerth, H. Schlarb, B. Schmidt, P. Schmüser, Time-resolved electron beam phase space tomography at a soft x-ray free-electron laser. Phys. Rev. ST Accel. Beams 12, 050704 (2009)

    Article  Google Scholar 

  • S. Roling, B. Siemer, M. Wöstmann, H. Zacharias, R. Mitzner, A. Singer, K. Tiedtke, I.A. Vartanyants, Temporal and spatial coherence properties of free-electron-laser pulses in the extreme ultraviolet regime. Phys. Rev. ST Accel. Beams 14, 080701 (2011)

    Article  ADS  Google Scholar 

  • E.L. Saldin, E.A. Schneidmiller, M.V. Yurkov, Statistical properties of radiation from VUV and X-ray free electron laser. Opt. Commun. 148, 383 (1998)

    Article  ADS  Google Scholar 

  • E.L. Saldin, E.A. Schneidmiller, M.V. Yurkov, The Physics of Free Electron Lasers (Springer, Berlin/New York, 2000)

    Book  Google Scholar 

  • W.F. Schlotter, F. Sorgenfrei, T. Beeck, M. Beye, S. Gieschen, H. Meyer, M. Nagasono, A. Föhlisch, W. Wurth, Longitudinal coherence measurements of an extreme-ultraviolet free-electron laser. Opt. Lett. 35, 372–374 (2010)

    Article  ADS  Google Scholar 

  • W.F. Schlotter, J.J. Turner, M. Rowen, P. Heimann, M. Holmes, O. Krupin, M. Messerschmidt, S. Moeller, J. Krzywinski, R. Soufli, M. Fernández-Perea, N. Kelez, S. Lee, R. Coffee, G. Hays, M. Beye, N. Gerken, F. Sorgenfrei, S. Hau-Riege, L. Juha, J. Chalupsky, V. Hajkova, A.P. Mancuso, A. Singer, O. Yefanov, I.A. Vartanyants, G. Cadenazzi, B. Abbey, K.A. Nugent, H. Sinn, J. Lüning, S. Schaffert, S. Eisebitt, W.-S. Lee, A. Scherz, A. R. Nilsson, W. Wurth, The soft x-ray instrument for materials studies at the linac coherent light source x-ray free-electron laser. Rev. Sci. Instrum. 83, 043107 (2012)

    Google Scholar 

  • P. Schmüser, M. Dohlus, J. Rossbach, C. Behrens, Free-Electron Lasers in the Ultraviolet and X-Ray Regime (Springer, Cham, 2014)

    Book  Google Scholar 

  • S. Schulz, I. GrguraÅ¡, C. Behrens, H. Bromberger, J.T. Costello, M.K. Czwalinna, M. Felber, M.C. Hoffmann, M. Ilchen, H.Y. Liu, T. Mazza, M. Meyer, S. Pfeiffer, P. Predki, S. Schefer, C. Schmidt, U. Wegner, H. Schlarb, A.L. Cavalieri, Femtosecond all-optical synchronization of an X-ray free-electron laser. Nat. Commun. (2015). doi:10.1038/ncomms6938

    Google Scholar 

  • A. Singer, F. Sorgenfrei, A.P. Mancuso, N. Gerasimova, O.M. Yefanov, J. Gulden, T. Gorniak, T. Senkbeil, A. Sakdinawat, Y. Liu, D. Attwood, S. Dziarzhytski, D.D. Mai, R. Treusch, E. Weckert, T. Salditt, A. Rosenhahn, W. Wurth, I.A. Vartanyants, Spatial and temporal coherence properties of single free-electron laser pulses. Opt. Express 20, 17480–17495 (2012)

    Article  ADS  Google Scholar 

  • F. Sorgenfrei , W.F. Schlotter, T. Beeck, M. Nagasono, S. Gieschen, H. Meyer, A. Föhlisch, M. Beye, W. Wurth, The extreme ultraviolet split and femtosecond delay unit at the plane grating monochromator beamline PG2 at FLASH. Rev. Sci. Instr. 81, 043107 (2010)

    Article  ADS  Google Scholar 

  • K. Tiedtke, J. Feldhaus, U. Hahn, U. Jastrow, T. Nunez, T. Tschentscher, S.V. Bobashev, A.A. Sorokin, J.B. Hastings, S. Möller, L. Cibik, A. Gottwald, A. Hoehl, U. Kroth, M. Krumrey, H. Schöppe, G. Ulm, M. Richter, Gas detectors for x-ray lasers. J. Appl. Phys. 103, 094511-1–094511-7 (2008)

    Google Scholar 

  • S. Wesch, B. Schmidt, C. Behrens, H. Delsim-Hashemi, PeterSchmüser, A multi-channel THz and infrared spectrometer for femtosecond electron bunch diagnostics by single-shot spectroscopy of coherent radiation. Nucl. Instrum. Methods A665, 40–47 (2011)

    Google Scholar 

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Authors and Affiliations

  1. Physics Department and Center for Free-Electron Laser Science, University of Hamburg, 22761, Hamburg, Germany

    Wilfried Wurth

  2. Deutsches Elektronen-Synchrotron DESY, University of Hamburg, Notkestr. 85, 22607, Hamburg, Germany

    Wilfried Wurth

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  1. Wilfried Wurth
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Correspondence to Wilfried Wurth .

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Editors and Affiliations

  1. Helmholtz-Zentrum Berlin, Berlin, Germany

    Eberhard Jaeschke

  2. Zentrum für Synchrotronstrahlung, TU Dortmund, Dortmund, Germany

    Shaukat Khan

  3. FS-CFEL-1, DESY, Hamburg, Germany

    Jochen R. Schneider

  4. SLAC National Accelerator Laboratory Linac Coherent Light Source, Stanford University, Menlo Park, California, USA

    Jerome B. Hastings

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Wurth, W. (2015). Characterization of the Time Structure of FEL Radiation. In: Jaeschke, E., Khan, S., Schneider, J., Hastings, J. (eds) Synchrotron Light Sources and Free-Electron Lasers. Springer, Cham. https://doi.org/10.1007/978-3-319-04507-8_49-1

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  • DOI: https://doi.org/10.1007/978-3-319-04507-8_49-1

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