T. Tajima and J. M. Dawson, Laser electron accelerator, Phys. Rev. Lett, vol.43, issue.4, pp.267-270, 1979.

J. Faure, Y. Glinec, A. Pukhov, S. Kiselev, S. Gordienko et al., V. A laser-plasma accelerator producing monoenergetic electron beams, Nature, vol.431, pp.541-544, 2004.
URL : https://hal.archives-ouvertes.fr/in2p3-00024730

C. Geddes, C. Toth, J. Van-tilborg, E. Esarey, C. Schroeder et al., High-quality electron beams from a laser wakefield accelerator using plasmachannel guiding, Nature, vol.431, pp.538-541, 2004.

S. Mangles, C. Murphy, Z. Najmudin, A. Thomas, J. Collier et al., Monoenergetic beams of relativistic electrons from intense laser-plasma interactions, Nature, vol.431, pp.538-541, 2004.

W. P. Leemans, A. J. Gonsalves, H. Mao, K. Nakamura, C. Benedetti et al., Multi-GeV Electron Beams from Capillary-Discharge-Guided Subpetawatt Laser Pulses in the Self-Trapping Regime, Phys. Rev. Lett, vol.113, p.245002, 2014.

V. Malka, S. Fritzler, E. Lefebvre, M. Aleonard, F. Burgy et al., Electron acceleration by a wake field forced by an intense ultrashort laser pulse, Science, vol.298, issue.5598, pp.1596-1600, 2002.
URL : https://hal.archives-ouvertes.fr/hal-00519003

E. Esarey, C. B. Schroeder, and W. P. Leemans, Physics of laser-driven plasma-based electron accelerators, Reviews of Modern Physics, vol.81, issue.3, pp.1229-1285, 2009.

V. Malka, Laser plasma accelerators, Phys. Plasmas, vol.19, issue.5, p.55501, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00498498

E. Guillaume, Control of electron injection and acceleration in Laser-Wakefield Accelerators, Theses, École Polytechnique, 2015.
URL : https://hal.archives-ouvertes.fr/tel-01249964

S. Kalmykov, S. A. Yi, V. Khudik, and G. Et-shvets, Electron Self-Injection and Trapping into an Evolving Plasma Bubble, Phys. Rev. Lett, vol.103, p.135004, 2009.

S. Corde, C. Thaury, A. Lifschitz, G. Lambert, K. Ta-phuoc et al., Observation of longitudinal and transverse self-injections in laserplasma accelerators, Nature Communications, vol.4, p.1501, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01164024

J. Faure, C. Rechatin, A. Norlin, A. Lifschitz, Y. Glinec et al., Controlled injection and acceleration of electrons in plasma wakefields by colliding laser pulses, Nature, vol.444, issue.7120, p.737, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00502237

C. Rechatin, X. Davoine, A. Lifschitz, A. B. Ismail, J. Lim et al., Observation of beam loading in a laser-plasma accelerator, Phys. Rev. Lett, vol.103, issue.19, p.194804, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00498458

K. Schmid, A. Buck, C. M. Sears, J. M. Mikhailova, R. Tautz et al., Density-transition based electron injector for laser driven wakefield accelerators, Phys. Rev. ST Accel. Beams, vol.13, issue.9, p.91301, 2010.

A. Buck, J. Wenz, J. Xu, K. Khrennikov, K. Schmid et al., Shock-front injector for high-quality laserplasma acceleration, Phys. Rev. Lett, vol.110, issue.18, p.185006, 2013.

C. Thaury, E. Guillaume, A. Lifschitz, K. Ta-phuoc, M. Hansson et al., Shock assisted ionization injection in laserplasma accelerators, Scientific Reports, vol.5, p.16310, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01234027

S. V. Bulanov, F. Pegoraro, A. M. Pukhov, and A. S. Sakharov, Transverse-Wake Wave Breaking, Phys. Rev. Lett, vol.78, pp.4205-4208, 1997.

A. Modena, Z. Najmudin, A. E. Dangor, C. Clayton, K. A. Marsh et al., Electron acceleration from the breaking of relativistic plasma waves, Nature, vol.377, pp.606-608, 1995.
URL : https://hal.archives-ouvertes.fr/hal-01164880

C. Mcguffey, A. G. Thomas, W. Schumaker, T. Matsuoka, V. Chvykov et al., Ionization Induced Trapping in a Laser Wakefield Accelerator, Phys. Rev. Lett, vol.104, p.25004, 2010.

A. Pak, K. A. Marsh, S. F. Martins, W. Lu, W. B. Mori et al., Injection and trapping of tunnel-ionized electrons into laser-produced wakes, Phys. Rev. Lett, vol.104, issue.2, p.25003, 2010.

,

B. B. Pollock, C. E. Clayton, J. E. Ralph, F. Albert, A. Davidson et al., Demonstration of a narrow energy spread, ? 0.5 GeV electron beam from a two-stage laser wakefield accelerator, Phys. Rev. Lett, vol.107, p.45001, 2011.

G. Golovin, S. Chen, N. Powers, C. Liu, S. Banerjee et al., Tunable monoenergetic electron beams from independently controllable laserwakefield acceleration and injection, Phys. Rev. ST Accel. Beams, vol.18, issue.1, p.11301, 2015.

E. Esarey, R. F. Hubbard, W. P. Leemans, A. Ting, and P. Et-sprangle, Electron Injection into Plasma Wakefields by Colliding Laser Pulses, Phys. Rev. Lett, vol.79, pp.2682-2685, 1997.

S. Bulanov, N. Naumova, F. Pegoraro, and J. Et-sakai, Particle injection into the wave acceleration phase due to nonlinear wake wave breaking, Phys. Rev. E, vol.58, pp.5257-5260, 1998.

C. G. Geddes, K. Nakamura, G. R. Plateau, C. Toth, E. Cormier-michel et al., Plasma-Density-Gradient Injection of Low Absolute-Momentum-Spread Electron Bunches, Phys. Rev. Lett, vol.100, p.215004, 2008.

J. Faure, C. Rechatin, O. Lundh, L. Ammoura, and V. Et-malka, Injection and acceleration of quasimonoenergetic relativistic electron beams using density gradients at the edges of a plasma channel, Physics of Plasmas, vol.17, issue.8, p.83107, 2010.
URL : https://hal.archives-ouvertes.fr/hal-01405588

R. Weingartner, S. Raith, A. Popp, S. Chou, J. Wenz et al., Ultralow emittance electron beams from a laser-wakefield accelerator, Physical Review Special TopicsAccelerators and Beams, vol.15, issue.11, p.111302, 2012.

C. Rechatin, J. Faure, A. Ben-ismail, J. Lim, R. Fitour et al., Controlling the phase-space volume of injected electrons in a laserplasma accelerator, Physical review letters, vol.102, issue.16, p.164801, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00498543

S. K. Barber, J. V. Tilborg, C. B. Schroeder, R. Lehe, H. Tsai et al., Parametric emittance measurements of electron beams produced by a laser plasma accelerator, Plasma Physics and Controlled Fusion, vol.60, issue.5, p.54015, 2018.

Z. Huang and K. Kim, Three-dimensional analysis of harmonic generation in high-gain freeelectron lasers, Phys. Rev. E, vol.62, issue.5, p.7295, 2000.

K. Nakajima, Compact X-ray sources : Towards a table-top free-electron laser, Nature Physics, vol.4, issue.2, pp.92-93, 2008.

F. Grüner, S. Becker, U. Schramm, T. Eichner, M. Fuchs et al.,

, Applied Physics B, vol.86, issue.3, pp.431-435, 2007.

D. Guenot, D. Gustas, A. Vernier, B. Beaurepaire, F. Bohle et al., Relativistic electron beams driven by kHz single-cycle light pulses, Nature Photonics, vol.11, issue.5, pp.293-296, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01533204

C. B. Schroeder, E. Esarey, C. G. Geddes, C. Benedetti, and W. P. Et-leemans, Physics considerations for laser-plasma linear colliders, Phys. Rev. ST Accel. Beams, vol.13, issue.10, p.101301, 2010.

,

H. P. Schlenvoigt, K. Haupt, A. Debus, F. Budde, O. Jäckel et al., A compact synchrotron radiation source driven by a laser-plasma wakefield accelerator, Nature Physics, vol.4, issue.2, pp.130-133, 2008.

M. Fuchs, R. Weingartner, A. Popp, Z. Major, S. Becker et al., Laser-driven soft-X-ray undulator source, Nature Physics, vol.5, issue.11, pp.826-829, 2009.

G. Lambert, S. Corde, K. T. Phuoc, V. Malka, A. B. Ismail et al., Progress on the generation of undulator radiation in the UV from a plasma-based electron beam, FEL conf, p.2, 2012.

M. P. Anania, E. Brunetti, S. M. Wiggins, D. W. Grant, G. H. Welsh et al., An ultrashort pulse ultra-violet radiation undulator source driven by a laser plasma wakefield accelerator, Applied Physics Letters, vol.104, issue.26, p.264102, 2014.

J. M. Madey, Stimulated emission of bremsstrahlung in a periodic magnetic field, J. Appl. Phys, vol.42, issue.5, pp.1906-1913, 1971.

D. A. Deacon, L. R. Elias, J. M. Madey, G. J. Ramian, H. A. Schwettman et al., First operation of a free-electron laser, Phys. Rev. Lett, vol.38, issue.16, pp.892-894, 1977.

R. Bonifacio, C. Pellegrini, and L. M. Et-narducci, Collective instabilities and high-gain regime in a free electron laser, Opt. Commun, vol.50, issue.6, pp.373-378, 1984.

Z. Huang and K. J. Kim, Review of x-ray free-electron laser theory, Physical Review Special Topics -Accelerators and Beams, vol.10, issue.3, 2007.

E. Allaria, R. Appio, L. Badano, W. A. Barletta, S. Bassanese et al., Highly coherent and stable pulses from the FERMI seeded free-electron laser in the extreme ultraviolet, Nature Photonics, vol.6, p.699, 2012.

E. Schneidmiller and M. Yurkov, Baseline Parameters of the European XFEL, 38th Int. Free Electron Laser Conf.(FEL'17), pp.109-112, 2017.

K. Floettmann, Some basic features of the beam emittance, Physical Review Special Topics Accelerators and Beams, vol.6, p.34202, 2003.

M. Migliorati, A. Bacci, C. Benedetti, E. Chiadroni, M. Ferrario et al., Intrinsic normalized emittance growth in laser-driven electron accelerators, Phys. Rev. ST Accel. Beams, vol.16, issue.1, p.11302, 2013.

P. Antici, A. Bacci, C. Benedetti, E. Chiadroni, M. Ferrario et al., Laser-driven electron beamlines generated by coupling laser-plasma sources with conventional transport systems, Journal of Applied Physics, vol.112, issue.4, p.44902, 2012.

M. Khojoyan, F. Briquez, M. Labat, A. Loulergue, O. Marcouillé et al., Transport studies of LPA electron beam towards the FEL amplification at COXINEL, Nucl. Instr. Meth. Phys. Res. A, vol.829, pp.260-264, 2016.

S. Kuschel, D. Hollatz, T. Heinemann, O. Karger, M. B. Schwab et al., Phys. Rev. Accel. Beams, vol.19, p.71301, 2016.

,

T. Hosokai, A. Zhidkov, A. Yamazaki, Y. Mizuta, M. Uesaka et al., Electron energy boosting in laser-wake-field acceleration with external magnetic field B?1B?1 T and laser prepulses, Applied Physics Letters, vol.96, issue.12, p.121501, 2010.

C. Thaury, E. Guillaume, A. Döpp, R. Lehe, A. Lifschitz et al., Demonstration of relativistic electron beam focusing by a laser-plasma lens, Nature Communications, vol.6, pp.1-5, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01164362

N. Nakanii, T. Hosokai, K. Iwasa, S. Masuda, A. Zhidkov et al., Transient magnetized plasma as an optical element for high power laser pulses, Phys. Rev. ST Accel. Beams, vol.18, issue.2, p.21303, 2015.

J. Van-tilborg, S. Steinke, C. G. Geddes, N. H. Matlis, B. H. Shaw et al., Active plasma lensing for relativistic laser-plasma-accelerated electron beams, Phys. Rev. Lett, vol.115, issue.18, p.184802, 2015.

M. Couprie, A. Loulergue, M. Labat, R. Lehe, and V. Et-malka, Towards a free electron laser based on laser plasma accelerators, Journal of Physics B : Atomic, Molecular and Optical Physics, vol.47, issue.23, p.234001, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01163716

A. Maier, A. Meseck, S. Reiche, C. Schroeder, T. Seggebrock et al., Demonstration scheme for a laser-plasma-driven free-electron laser, Physical Review X, vol.2, issue.3, p.31019, 2012.

T. Smith, J. Madey, L. Elias, and D. Et-deacon, Reducing the sensitivity of a free-electron laser to electron energy, Journal of Applied Physics, vol.50, issue.7, pp.4580-4583, 1979.

Z. Huang, Y. Ding, and C. B. Schroeder, Compact X-ray free-electron laser from a laser-plasma accelerator using a transverse-gradient undulator, Phys. Rev. Lett, vol.109, issue.20, pp.204801-204805, 2012.

A. Loulergue, M. Labat, C. Evain, C. Benabderrahmane, V. Malka et al., Beam manipulation for compact laser wakefield accelerator based free-electron lasers, New J. Phys, vol.17, issue.2, p.23028, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01164366

A. W. Chao, K. H. Mess, M. Tigner, and F. Et-zimmermann, Handbook of accelerator physics and engineering, 1999.

A. Latina, Introduction to Transverse Beam Dynamics, JUAS lectures, 2014.

H. Wiedemann, , 2015.

K. L. Brown, A first-and second-order matrix theory for the design of beam transport systems and charged particle spectrometers, SLAC Report, vol.75, 1972.

A. Loulergue, M. Labat, F. Marteau, F. Briquez, C. Evain et al., Baseline reference cases, Task Technical report Reporting -Task, vol.1, 2015.

J. Payet and . Others, BETA code. CEA

K. Flöttmann and A. Astra, A space charge tracking algorithm, 2007.

S. Ramo, Space Charge and Field Waves in an Electron Beam, Phys. Rev, vol.56, pp.276-283, 1939.

M. Borland, Simple method for particle tracking with coherent synchrotron radiation, Physical Review Special Topics-Accelerators and Beams, vol.4, issue.7, p.70701, 2001.

Y. Derbenev, J. Rossbach, E. Saldin, and V. Et-shiltsev, Microbunch radiative tail-head interaction, pp.95-100, 1995.

M. Labat, A. Loulergue, T. Andre, I. A. Andriyash, A. Ghaith et al., Robustness of a plasma acceleration based free electron laser, Phys. Rev. Accel. Beams, vol.21, p.114802, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01839670

M. Couprie, C. Benabderrahmane, F. Marteau, F. Briquez, O. Marcouillé et al., , 2015.

M. E. Couprie, M. Labat, C. Evain, F. Marteau, F. Briquez et al., An application of laser-plasma acceleration : towards a free-electron laser amplification, Plasma Physics and Controlled Fusion, vol.58, issue.3, p.34020, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01342476

F. Marteau, A. Ghaith, P. N'gotta, C. Benabderrahmane, M. Valléau et al., Variable high gradient permanent magnet quadrupole (QUAPEVA), Applied Physics Letters, vol.111, issue.25, 2017.
DOI : 10.1063/1.4986856

URL : https://hal.archives-ouvertes.fr/hal-01861891

C. Kitegi, T. André, C. Benabderrahmane, J. Chavanne, O. Cosson et al., QUAPEVA : Variable High Gradient Permanent Magnet Quadrupole, 60th ICFA Advanced Beam Dynamics Workshop on Future Light Sources (FLS'18), pp.89-92, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01861891

A. Ghaith, C. Kitegi, T. Andre, M. Valléau, F. Marteau et al., Tunable high gradient quadrupoles for a laser plasma acceleration based FEL, Nuclear Instruments and Methods in Physics Research Section A : Accelerators, Spectrometers, Detectors and Associated Equipment, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01802027

P. N'gotta, F. Marteau, L. Chapuis, and M. Et-couprie, Task 2.1-3 Report : Characterization of the permanent magnet quadrupole of variable strength, 2016.

X. Controlleur and . Newport,

F. Briquez, Task 2.4 : Dipole Chicane -Part II : Magnetic Measurements, 2015.

C. Benabderrahmane, M. Valléau, A. Ghaith, P. Berteaud, L. Chapuis et al., Development and operation of a Pr 2 Fe 14 B based cryogenic permanent magnet undulator for a high spatial resolution x-ray beam line, Phys. Rev. Accel. Beams, vol.20, p.33201, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01554603

M. Valléau, F. Briquez, A. Ghaith, F. Marteau, O. Marcouillé et al., Development of Cryogenic Permanent Magnet Undulators at SOLEIL, Synchrotron Radiation News, vol.31, issue.3, pp.42-47, 2018.

F. Marteau, M. Couprie, and . Et-loulergue, , 2016.

. Hazemeyer,

M. Labat, M. El-ajjouri, N. Hubert, T. Andre, A. Loulergue et al., Electron and photon diagnostics for plasma acceleration-based FELs, Journal of Synchrotron Radiation, vol.25, issue.1, pp.59-67, 2018.
DOI : 10.1107/s1600577517011742

URL : https://journals.iucr.org/s/issues/2018/01/00/yi5036/yi5036.pdf

Y. Glinec, J. Faure, A. Guemnie-tafo, V. Malka, H. Monard et al., Absolute calibration for a broad range single shot electron spectrometer, Review of scientific instruments, vol.77, issue.10, p.103301, 2006.
DOI : 10.1063/1.2360988

URL : https://hal.archives-ouvertes.fr/hal-00502322

C. M. Logan, D. J. Schneberk, P. J. Shull, and H. E. Martz, X-ray Imaging : fundamentals, industrial techniques and applications

E. Radiabeam,

C. Basler,

C. Hamamatsu,

O. Sigma,

O. Zeiss,

, Hublot Kurt Lesker

F. Thorlabs, Shortpass Filter, Cut-Off Wavelength : 650 nm

, Mires de Résolution USAF 1951

. Bergoz--turbo, Integrating Current Transformer

B. Keil, R. Baldinger, R. Ditter, W. Koprek, R. Kramert et al., Design of the SwissFEL BPM system, Proc. IBIC, p.13, 2013.

. Pompe,

P. Pompe-turbomoléculaire, Vacuum HiPACE, vol.80

, Pompe turbomoléculaire PFEIFFER Vacuum HiPACE 300

P. Jauge and . Vacuum-pkr-361,

. Mini-vanne-À-tiroir and . Vat, , pp.1028-1029

M. E. Couprie, A. Lestrade, M. Sebdaoui, E. Roussel, C. Evain et al., , 2016.

. Faro-laser-tracker,

. Leica-geosystems,

. Wyler and . Plus,

E. Roussel, Characterization of LPA electron beam at the source

K. T. Mcdonald and D. P. Russell, Frontiers of Particle Beams ; Observation, Diagnosis and Correction, tome 343 de Lecture Notes in Physics

T. André, Task 2.5 -Electron beam imager configuration used for COXINEL Run 4 -COX-RA-I-0759, 2018.

S. K. Barber, J. Van-tilborg, C. B. Schroeder, R. Lehe, H. Tsai et al., Measured Emittance Dependence on the Injection Method in Laser Plasma Accelerators, Phys. Rev. Lett, vol.119, p.104801, 2017.
DOI : 10.1103/physrevlett.119.104801

URL : https://link.aps.org/accepted/10.1103/PhysRevLett.119.104801

T. André, I. A. Andriyash, A. Loulergue, M. Labat, E. Roussel et al., Control of laser plasma accelerated electrons for light sources, Nature Communications, vol.9, issue.1, p.1334, 2018.

K. Floettmann, Adiabatic matching section for plasma accelerated beams, Physical Review Special Topics -Accelerators and Beams, vol.17, issue.5, pp.1-7, 2014.
DOI : 10.1103/physrevstab.17.054402

URL : http://link.aps.org/pdf/10.1103/PhysRevSTAB.17.054402

P. Röjsel, A beam position measurement system using quadrupole magnets magnetic centra as the position reference, Nuclear Inst. and Methods in Physics Research, vol.343, issue.2-3, pp.90214-90217, 1994.

L. Nadolski, Application de l'Analyse en Fréquence à l'Etude de la Dynamique des Sources de Lumière, 2001.

A. Ghaith, T. André, I. Andriyash, S. Bielawski, F. Blache et al., Transportation and Manipulation of a Laser Plasma Acceleration Beam, 60th ICFA Advanced Beam Dynamics Workshop on Future Light Sources (FLS'18), pp.56-61, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01871651

A. Ghaith, First analysis fo the COXINEL run 4 photon measurements with the spectrometer. Rapport technique. References 1. Tajima, T. & Dawson, J. M. Laser electron accelerator, Phys. Rev. Lett, vol.43, pp.267-270, 1979.

J. Faure, A laser-plasma accelerator producing monoenergetic electron beams, Nature, vol.431, pp.541-544, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00508775

C. Geddes, High-quality electron beams from a laser wakefield accelerator using plasma-channel guiding, Nature, vol.431, pp.538-541, 2004.
DOI : 10.1038/nature02900

S. Mangles, Monoenergetic beams of relativistic electrons from intense laser-plasma interactions, Nature, vol.431, pp.535-538, 2004.

H. P. Schlenvoigt, A compact synchrotron radiation source driven by a laser-plasma wakefield accelerator, Nat. Phys, vol.4, pp.130-133, 2008.

M. Fuchs, Laser-driven soft-X-ray undulator source, Nat. Phys, vol.5, pp.826-829, 2009.
DOI : 10.1038/nphys1404

URL : http://digitalcommons.unl.edu/cgi/viewcontent.cgi?article=1013&context=physicsfuchs

Z. Huang and K. J. Kim, Three-dimensional analysis of harmonic generation in high-gain free-electron lasers, Phys. Rev. E, vol.62, pp.7295-7308, 2000.

K. Nakajima, Compact X-ray sources: Towards a table-top free-electron laser, Nat. Phys, vol.4, pp.92-93, 2008.

F. Grüner, Design considerations for table-top, laser-based VUV and X-ray free electron lasers, Appl. Phys. B, vol.86, pp.431-435, 2007.

S. Corde, Femtosecond X-rays from laser-plasma accelerators, Rev. Mod. Phys, vol.85, pp.1-48, 2013.
DOI : 10.1103/revmodphys.85.1

URL : https://hal.archives-ouvertes.fr/hal-01164031

D. Guenot, Relativistic electron beams driven by kHz single-cycle light pulses, Nat. Photonics, vol.11, pp.293-296, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01533204

C. B. Schroeder, E. Esarey, C. G. Geddes, C. Benedetti, and W. P. Leemans, Physics considerations for laser-plasma linear colliders, Phys. Rev. ST Accel. Beams, vol.13, p.101301, 2010.
DOI : 10.1103/physrevstab.13.101301

URL : http://link.aps.org/pdf/10.1103/PhysRevSTAB.13.101301

V. Malka, Electron acceleration by a wake field forced by an intense ultrashort laser pulse, Science, vol.298, pp.1596-1600, 2002.
URL : https://hal.archives-ouvertes.fr/hal-00519003

E. Esarey, C. B. Schroeder, and W. P. Leemans, Physics of laser-driven plasmabased electron accelerators, Rev. Mod. Phys, vol.81, pp.1229-1285, 2009.

V. Malka, Laser plasma accelerators, Phys. Plasmas, vol.19, p.55501, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00498498

S. Kalmykov, S. A. Yi, V. Khudik, and G. Shvets, Electron self-injection and trapping into an evolving plasma bubble, Phys. Rev. Lett, vol.103, p.135004, 2009.

S. Corde, Observation of longitudinal and transverse self-injections in laser-plasma accelerators, Nat. Commun, vol.4, p.1501, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01164024

J. Faure, Controlled injection and acceleration of electrons in plasma wakefields by colliding laser pulses, Nature, vol.444, pp.737-739, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00502237

C. Rechatin, Observation of beam loading in a laser-plasma accelerator, Phys. Rev. Lett, vol.103, p.194804, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00498458

K. Schmid, Density-transition based electron injector for laser driven wakefield accelerators, Phys. Rev. ST Accel. Beams, vol.13, p.91301, 2010.
DOI : 10.1103/physrevstab.13.091301

URL : http://link.aps.org/pdf/10.1103/PhysRevSTAB.13.091301

A. Buck, Shock-front injector for high-quality laser-plasma acceleration, Phys. Rev. Lett, vol.110, p.185006, 2013.
DOI : 10.1103/physrevlett.110.185006

URL : http://umu.diva-portal.org/smash/get/diva2:1093448/FULLTEXT01

C. Thaury, Shock assisted ionization injection in laser-plasma accelerators, Sci. Rep, vol.5, p.16310, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01234027

C. Mcguffey, Ionization induced trapping in a laser wakefield accelerator, Phys. Rev. Lett, vol.104, p.25004, 2010.

A. Pak, Injection and trapping of tunnel-ionized electrons into laserproduced wakes, Phys. Rev. Lett, vol.104, p.25003, 2010.

B. B. Pollock, Demonstration of a narrow energy spread, ~0.5 GeV electron beam from a two-stage laser wakefield accelerator, Phys. Rev. Lett, vol.107, p.45001, 2011.

G. Golovin, Tunable monoenergetic electron beams from independently controllable laser-wakefield acceleration and injection, Phys. Rev. ST Accel. Beams, vol.18, p.11301, 2015.
DOI : 10.1103/physrevstab.18.011301

URL : http://link.aps.org/pdf/10.1103/PhysRevSTAB.18.011301

A. Döpp, Stable femtosecond X-rays with tunable polarization from a laser-driven accelerator, Light Sci. Appl, vol.6, p.17086, 2017.

W. P. Leemans, Multi-GeV electron beams from capillary-dischargeguided subpetawatt laser pulses in the self-trapping regime, Phys. Rev. Lett, vol.113, p.245002, 2014.

K. Floettmann, Some basic features of the beam emittance, Phys. Rev. ST Accel. Beams, vol.6, p.34202, 2003.

M. Migliorati, Intrinsic normalized emittance growth in laser-driven electron accelerators, Phys. Rev. ST Accel. Beams, vol.16, p.11302, 2013.
DOI : 10.1103/physrevstab.16.011302

URL : http://link.aps.org/pdf/10.1103/PhysRevSTAB.16.011302

P. Antici, Laser-driven electron beamlines generated by coupling laserplasma sources with conventional transport systems, J. Appl. Phys, vol.112, p.44902, 2012.

M. Khojoyan, Transport studies of LPA electron beam towards the FEL amplification at COXINEL, Nucl. Instr. Meth. Phys. Res. A, vol.829, pp.260-264, 2016.

G. Lambert, Progress on the generation of undulator radiation in the UV from a plasma-based electron beam, Proc. FEL, 2012.

R. Weingartner, Ultralow emittance electron beams from a laserwakefield accelerator, Phys. Rev. ST Accel. Beams, vol.15, p.111302, 2012.
DOI : 10.1103/physrevstab.15.111302

URL : http://link.aps.org/pdf/10.1103/PhysRevSTAB.15.111302

M. P. Anania, An ultrashort pulse ultra-violet radiation undulator source driven by a laser plasma wakefield accelerator, Appl. Phys. Lett, vol.104, p.264102, 2014.
DOI : 10.1063/1.4886997

URL : https://aip.scitation.org/doi/pdf/10.1063/1.4886997

C. Thaury, Demonstration of relativistic electron beam focusing by a laser-plasma lens, Nat. Commun, vol.6, p.6860, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01164362

N. Nakanii, Transient magnetized plasma as an optical element for high power laser pulses, Phys. Rev. ST Accel. Beams, vol.18, p.21303, 2015.

T. Hosokai, Electron energy boosting in laser-wake-field acceleration with external magnetic field B~1 T and laser prepulses, Appl. Phys. Lett, vol.96, p.121501, 2010.

J. Van-tilborg, Active plasma lensing for relativistic laser-plasmaaccelerated electron beams, Phys. Rev. Lett, vol.115, p.184802, 2015.

A. Maier, Demonstration scheme for a laser-plasma-driven free-electron laser, Phys. Rev. X, vol.2, p.31019, 2012.
DOI : 10.1103/physrevx.2.031019

URL : http://link.aps.org/pdf/10.1103/PhysRevX.2.031019

A. Loulergue, Beam manipulation for compact laser wakefield accelerator based free-electron lasers, New J. Phys, vol.17, p.23028, 2015.
DOI : 10.1088/1367-2630/17/2/023028

URL : https://hal.archives-ouvertes.fr/hal-01164366

M. E. Couprie, A. Loulergue, M. Labat, R. Lehe, and V. Malka, Towards a free electron laser based on laser plasma accelerators, J. Phys. B, vol.47, p.234001, 2014.
DOI : 10.1088/0953-4075/47/23/234001

URL : https://hal.archives-ouvertes.fr/hal-01163716

Z. Huang, Y. Ding, and C. B. Schroeder, Compact X-ray free-electron laser from a laser-plasma accelerator using a transverse-gradient undulator, Phys. Rev. Lett, vol.109, pp.204801-204805, 2012.

M. E. Couprie, An application of laser plasma acceleration: towards a free-electron laser amplification, Plasma Phys. Control. Fusion, vol.58, p.34020, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01342476

M. Labat, Electron and photon diagnostics for plasma acceleration based FELs, J. Synchrotron Radiat, vol.25, pp.59-67, 2018.

P. Elleaume, H. Onuki, and . Undulators, Wigglers and their Applications, 2003.

M. P. Anania, Transport of ultra-short electron bunches in a free-electron laser driven by a laser-plasma wakefield accelerator, SPIE Europe Optics+ Optoelectronics, p.735916, 2009.

C. Benabderrahmane, M. Couprie, F. Forest, O. Cosson, and . Multi, , 2016.

C. Benabderrahmane, M. Couprie, F. Forest, and O. Cosson, Adjustable magnetic multipole, 2016.

F. Marteau, Variable high gradient permanent magnet quadrupole (QUAPEVA), Appl. Phys. Lett, vol.111, p.253503, 2017.
DOI : 10.1063/1.4986856

URL : https://hal.archives-ouvertes.fr/hal-01861891

S. Steinke, Multistage coupling of independent laser-plasma accelerators, Nature, vol.530, pp.190-193, 2016.

O. Chubar, P. Elleaume, and J. Chavanne, A three-dimensional magnetostatics computer code for insertion devices, J. Synchr. Rad, vol.5, pp.481-484, 1998.

J. Simkin and C. Trowbridge, Three-dimensional nonlinear electromagnetic field computations, using scalar potentials, IEE Proc. B-Electric Power Applications, vol.127, pp.368-374, 1980.
DOI : 10.1049/ip-b.1980.0052

K. Halbach, Conceptual design of a permanent quadrupole magnet with adjustable strength, Nucl. Instr. Meth. Phys. Res, vol.206, pp.353-354, 1983.

L. Bec, G. Chavanne, J. Penel, and C. , Stretched wire measurement of multipole accelerator magnets, Phys. Rev. ST Accel. Beams, vol.15, p.22401, 2012.

A. Madur, Contribution à la métrologie magnétique des multipôles d'accélérateurs: les quadrupôles du Synchroton SOLEIL, 2006.

D. W. Preston and R. W. Warren, Wiggler field measurements and corrections using the pulsed wire technique, Nucl. Instr. Meth. Phys. Res. A, vol.318, pp.794-797, 1992.
DOI : 10.1016/0168-9002(92)91160-b

URL : https://digital.library.unt.edu/ark:/67531/metadc1059824/m2/1/high_res_d/5113497.pdf

B. Keil, Design of the SwissFEL BPM system, Proc. IBIC2013, 2013.

Y. Glinec, Absolute calibration for a broad range single shot electron spectrometer, Rev. Sci. Instrum, vol.77, p.103301, 2006.
DOI : 10.1063/1.2360988

URL : https://hal.archives-ouvertes.fr/hal-00502322

A. Buck, Absolute charge calibration of scintillating screens for relativistic electron detection, Rev. Sci. Instrum, vol.81, p.33301, 2010.
DOI : 10.1063/1.3310275

K. Nakamura, Electron beam charge diagnostics for laser plasma accelerators, Phys. Rev. ST Accel. Beams, vol.14, p.62801, 2011.
DOI : 10.1103/physrevstab.14.062801

URL : http://link.aps.org/pdf/10.1103/PhysRevSTAB.14.062801

J. Payet, BETA code. CEA

K. Flöttmann, A space charge tracking algorithm, 2007.

M. Borland, Elegant: A flexible SDDS-compliant code for accelerator simulation. No. LS-287, 2000.

I. Agapov, G. Geloni, S. Tomin, and I. Zagorodnov, OCELOT: a software framework for synchrotron light source and FELstudies, Nucl. Instr. Meth. Phys. Res. A, vol.768, pp.151-156, 2014.
DOI : 10.1016/j.nima.2014.09.057

K. Flöttmann, Adiabatic matching section for plasma accelerated beams, Phys. Rev. ST Accel. Beams, vol.17, p.54402, 2014.

K. Flöttmann, Some basic features of the beam emittance, Phys. Rev. ST Accel. Beams, vol.6, p.34202, 2003.

K. Brown, SLAC Report, vol.75, 1972.

A. Madur, P. Brunelle, A. Nadji, and L. Nadolski, Beam based alignment for the storage ring multipoles of synchrotron SOLEIL, Proc. of the EPAC2006, 2006.

P. Emma, R. Carr, and H. D. Nuhn, Beam-based alignment for the LCLS FEL undulator, Nucl. Instr. Meth. Phys. Res. A, vol.429, pp.407-413, 1999.
DOI : 10.1016/s0168-9002(99)00117-5

J. Boris, Relativistic plasma simulation-optimization of a hybrid code, Proc., Fourth Conference on the Numerical Simulation of Plasma, 1970.

J. D. Jackson, Classical Electrodynamics, 1998.

O. Chubar and P. Elleaume, Accurate and efficient computation of synchrotron radiation in the near field region, Proc. of the EPAC98, 1998.

I. Andriyash and . Coxinelmodelingtools, , 2017.

W. References-ackermann, Nat. Photon, vol.1, pp.336-342, 2007.

E. Allaria, D. Castronovo, P. Cinquegrana, P. Craievich, M. Forno et al., , vol.25, pp.59-67, 2018.

L. Marie, Plasma acceleration-based FELs 65

, Figure 8

. Lambert, Single-shot footprint of the radiation measured on the CCD camera, 2012.

C. Spezzani, M. Svandrlik, C. Svetina, M. Trovo, M. Veronese et al., Nat. Photon, vol.7, pp.913-918, 2013.

M. P. Anania, E. Brunetti, S. M. Wiggins, D. W. Grant, G. H. Welsh et al., Appl. Phys. Lett, vol.104, p.264102, 2014.

C. Behrens, F. Decker, Y. Ding, V. A. Dolgashev, J. Frisch et al., Nat. Commun, vol.5, p.4762, 2014.

K. L. Brown, G. W. Tautfest, E. Brunetti, R. P. Shanks, G. G. Manahan et al., Rev. Sci. Instrum, vol.27, p.215007, 1956.

A. Chao and M. Tigner, Handbook of Accelerator Physics and Engineering, p.267, 1999.

T. Y. Chien, C. L. Chang, C. H. Lee, J. Y. Lin, J. Wang et al., Phys. Rev. Lett, vol.94, p.115003, 2005.

O. Chubar and P. Elleaume, Proceedings of the Sixth European Particle Accelerator Conference (EPAC'98), pp.1177-1179, 1998.

A. Cianchi, M. P. Anania, M. Bellaveglia, M. Castellano, E. Chiadroni et al., Nucl. Instrum. Methods Phys. Res. A, vol.720, pp.153-156, 2013.

C. Clayton, Proceedings of the 1995 Particle Accelerator Conference and International Conference on High Energy Accelerators, 1995.

M. E. Couprie, , 2018.

M. E. Couprie, M. Labat, C. Evain, F. Marteau, F. Briquez et al., Plasma Phys. Contrib. Fusion, vol.58, p.34020, 2016.

M. E. Couprie, A. Loulergue, M. Labat, R. Lehe, and V. Malka, J. Phys. B, vol.47, p.234001, 2014.

R. I. Cutler, J. Owen, and J. Whittaker, Proceedings of the 1987 IEEE Particle Accelerator Conference (PAC'87), p.625, 1987.

G. Dattoli, L. Giannessi, A. Renieri, and A. Torre, , p.321, 1993.

P. Emma, R. Akre, J. Arthur, R. Bionta, C. Bostedt et al., Nat. Photon, vol.4, pp.641-647, 2010.

J. Faure, Y. Glinec, A. Pukhov, S. Kiselev, S. Gordienko et al., Nature, vol.431, pp.541-544, 2004.

J. Faure, C. Rechatin, A. Norlin, A. Lifschitz, Y. Glinec et al., Nature, vol.444, pp.737-739, 2006.

S. Fritzler, E. Lefebvre, V. Malka, F. Burgy, A. E. Dangor et al., Phys. Rev. Lett, vol.92, p.165006, 2004.

M. Fuchs, R. Weingartner, A. Popp, Z. Major, S. Becker et al., Nat. Phys, vol.5, pp.826-829, 2009.

C. G. Geddes, K. Nakamura, G. R. Plateau, C. Toth, E. Cormiermichel et al., Phys. Rev. Lett, vol.100, p.215004, 2008.

C. G. Geddes, C. S. Toth, J. Van-tilborg, E. Esarey, C. B. Schroeder et al., Nature, vol.431, pp.538-541, 2004.

Y. Glinec, J. Faure, A. Guemnie-tafo, V. Malka, H. Monard et al., Rev. Sci. Instrum, vol.77, p.103301, 2006.

Y. Glinec, J. Faure, A. Norlin, A. Pukhov, and V. Malka, Phys. Rev. Lett, vol.98, 2007.

S. C. Hartman, T. Shintake, and N. Akasaka, Nanometer Resolution BPM using Damped-Slot Resonator, 1995.
DOI : 10.1109/pac.1995.505649

URL : http://www.slac.stanford.edu/pubs/slacpubs/6750/slac-pub-6908.pdf

Z. Huang, Y. Ding, and C. B. Schroeder, Phys. Rev. Lett, vol.109, p.204801, 2012.

T. Ishikawa, Nat. Photon, vol.6, pp.540-544, 2012.

B. Keil, R. Baldinger, R. Ditter, W. Koprek, R. Kramert et al., Proceedings of the 2nd International Beam Instrumentation Conference (IBIC2013), p.427, 2013.

B. Keil, R. Baldinger, R. Ditter, R. Kramert, G. Marinkovic et al., Proceedings of the First International Particle Accelerator Conference (IPAC'10), p.1125, 2010.

K. J. Kim and M. Xie, Nucl. Instrum. Methods Phys. Res. A, vol.331, pp.359-364, 1993.

M. Labat, L. Cassinari, M. E. Couprie, M. El-ajjouri, N. Hubert et al., Proceedings of the FEL'2014 Conference, pp.937-940, 2014.

G. Lambert, S. Corde, K. Ta-phuoc, V. Malka, A. Ben-ismail et al., Proceedings of the 34th International FreeElectron Laser Conference (FEL2012), pp.26-31, 2012.

W. P. Leemans, B. Nagler, A. J. Gonsalves, C. Tó-th, K. Nakamura et al., Nat. Phys, vol.2, pp.696-699, 2006.

G. A. Loew and O. H. Altenmueller, Proceedings of the Fifth International Conference on High-Energy Accelerators, pp.9-16, 1965.

A. Loulergue, M. Labat, C. Evain, C. Benabderrahmane, V. Malka et al., New J. Phys, vol.17, p.23028, 2015.

A. H. Lumpkin, B. X. Yang, W. J. Berg, M. White, J. W. Lewellen et al., Nucl. Instrum. Methods Phys. Res. A, vol.429, pp.336-340, 1999.

O. Lundh, J. Lim, C. Rechatin, L. Ammoura, A. Ben-isma?¨lisma?¨l et al., Nat. Phys, vol.7, pp.219-222, 2011.

J. M. Madey, J. Appl. Phys, vol.42, pp.1906-1913, 1971.

A. R. Maier, A. Meseck, S. Reiche, C. B. Schroeder, T. Seggebrock et al., Phys. Rev. X, vol.2, p.31019, 2012.

V. Malka, J. Faure, J. R. Marquè-s, F. Amiranoff, J. P. Rousseau et al., Phys. Plasmas, vol.8, pp.2605-2608, 2001.

S. P. Mangles, C. D. Murphy, Z. Najmudin, A. G. Thomas, J. L. Collier et al., Nature, vol.431, pp.535-538, 2004.

T. J. Maxwell, C. Behrens, Y. Ding, A. S. Fisher, J. Frisch et al., Phys. Rev. Lett, vol.111, p.184801, 2013.

L. Marie, Plasma acceleration-based FELs J. Synchrotron Rad, vol.25, pp.59-67, 2018.

M. G. Minty and F. Zimmermann, Measurement and Control of Charged Particle Beams, 2003.
DOI : 10.1007/978-3-662-08581-3

K. Nakamura, A. J. Gonsalves, C. Lin, A. Smith, D. Rodgers et al., Phys. Rev. ST Accel. Beams, vol.14, p.62801, 2011.

M. Pittman, S. Ferré, J. P. Rousseau, L. Notebaert, J. P. Chambaret et al., Appl. Phys. B, vol.74, pp.529-535, 2002.

G. R. Plateau, C. G. Geddes, D. B. Thorn, M. Chen, C. Benedetti et al., Th. & Leemans, W. P, vol.109, p.64802, 2012.

A. Pukhov and J. Meyer-ter-vehn, Appl. Phys. B, vol.74, pp.355-361, 2002.

W. Rogowski, W. Steinhaus, K. Haupt, A. Debus, F. Budde et al., Arch. Elektrotech. 1, 141150. Schlenvoigt, vol.4, pp.130-133, 1912.

C. B. Schroeder, ICFA Workshop on Future Light Sources (FLS2012), pp.5-9, 2012.

C. M. Sears, S. B. Cuevas, U. Schramm, K. Schmid, A. Buck et al., Rev. Sci. Instrum, vol.81, p.73304, 2010.

T. Seggebrock, A. R. Maier, I. Dornmair, and F. Grü-ner, Phys. Rev. ST Accel. Beams, vol.16, p.70703, 2013.

J. Shan, A. S. Weling, E. Knoesel, L. Bartels, M. Bonn et al., Opt. Lett, vol.25, pp.426-428, 2000.

T. Suwada, N. Kamikubota, H. Fukuma, N. Akasaka, and H. Kobayashi, Nucl. Instrum. Methods Phys. Res. A, vol.440, pp.307-319, 2000.

T. Tajima and J. M. Dawson, Phys. Rev. Lett, vol.43, pp.267-270, 1979.

K. A. Tanaka, T. Yabuuchi, T. Sato, R. Kodama, Y. Kitagawa et al., Rev. Sci. Instrum, vol.76, p.13507, 2005.

C. Thomas, N. Delerue, and R. Bartolini, Nucl. Instrum. Methods Phys. Res. A, vol.6, pp.180-187, 2005.

K. B. Unser, Proceedings of the 1989 Particle Accelerator Conference, vol.1, p.14801, 1989.

R. Weingartner, S. Raith, A. Popp, S. Chou, J. Wenz et al., Nucl. Instrum. Methods Phys. Res. A, vol.15, pp.40-47, 2011.

I. Wilke, A. M. Macleod, W. A. Gillespie, G. Berden, G. M. Knippels et al., Nucl. Instrum. Methods Phys. Res. A, vol.88, pp.277-281, 2002.

Y. Yamazaki, T. Kurihara, H. Kobayashi, I. Sato, and A. Asami, Nucl. Instrum. Methods Phys. Res. A, vol.322, pp.139-145, 1992.

X. Yan, A. M. Macleod, W. A. Gillespie, G. M. Knippels, D. Oepts et al., Phys. Rev. Lett, vol.85, pp.3404-3407, 2000.

K. Zeil, S. D. Kraft, A. Jochmann, F. Kroll, W. Jahr et al., Rev. Sci. Instrum, vol.81, p.13307, 2010.

A. Zewail, Nobel Lectures in Chemistry, Nobel, vol.47, 1996.

M. Zhang, Emittance Formula for Slits and Pepper-pot Measurement, photondiag2017 workshop J. Synchrotron Rad, vol.25, pp.59-67, 1996.

L. Marie, Plasma acceleration-based FELs 67

W. Ackermann, Operation of a free-electron laser from the extreme ultraviolet to the water window, Nat. Photonics, vol.1, p.336, 2007.
URL : https://hal.archives-ouvertes.fr/hal-01794706

T. Shintake, A compact free-electron laser for generating coherent radiation in the extreme ultraviolet region, Nat. Photonics, vol.2, p.555, 2008.

P. Emma, First lasing and operation of an ångstrom-wavelength free-electron laser, Nat. Photonics, vol.4, p.641, 2010.

T. Ishikawa, A compact x-ray free-electron laser emitting in the sub-angstrom region, Nat. Photonics, vol.6, p.540, 2012.

E. Allaria, Highly coherent and stable pulses from the FERMI seeded free-electron laser in the extreme ultraviolet, Nat. Photonics, vol.6, p.699, 2012.

I. S. Ko, Construction and commissioning of pal-xfel facility, Appl. Sci, vol.479, p.1, 2017.

C. J. Milne, Swissfel: The swiss x-ray free electron laser, Appl. Sci, vol.720, p.7, 2017.

G. Wang, Commissioning status of the dalian coherent light source, Proceedings, 8th International Particle Accelerator Conference, p.2709, 2017.

J. M. Madey, Stimulated emission of bremsstrahlung in a periodic magnetic field, J. Appl. Phys, vol.42, p.1906, 1971.

D. Deacon, L. R. Elias, J. M. Madey, G. J. Ramian, H. A. Schwettman et al., First Operation of a Free-Electron Laser, Phys. Rev. Lett, vol.38, p.892, 1977.

M. Billardon, P. Elleaume, J. M. Ortega, C. Bazin, M. Bergher et al., First Operation of a Storage-Ring Free-Electron Laser, Phys. Rev. Lett, vol.51, p.1652, 1983.

R. Warren, B. Newnam, J. Winston, W. Stein, L. Young et al., Results of the los alamos free-electron laser experiment, IEEE J. Quantum Electron, vol.19, p.391, 1983.

M. E. Couprie and J. M. Filhol, X radiation sources based on accelerators, C.R. Phys, vol.9, p.487, 2008.

M. Marsi, M. Trovo, R. P. Walker, L. Giannessi, G. Dattoli et al., Operation and performance of a free electron laser oscillator down to 190 nm, Appl. Phys. Lett, vol.80, p.2851, 2002.

A. M. Kondratenko and E. L. Saldin, Generation of coherent radiation by a relativistic-electron beam in an undulator, Particle Accelerator Conference, vol.10, pp.207-216, 1986.

R. Bonifacio, C. Pellegrini, and L. M. Narducci, Collective instabilities and high-gain regime in a free electron laser, Opt. Commun, vol.50, p.373, 1984.

K. J. Kim, Three-dimensional Analysis of Coherent Amplification and Self-Amplified Spontaneous Emission in Free-Electron Lasers, Phys. Rev. Lett, vol.57, p.1871, 1986.

R. Prazeres, J. M. Ortéga, C. Bazin, M. Bergher, M. Billardon et al., First production of vacuum-ultraviolet coherent light by frequency multiplication in a relativistic electron beam, Europhys. Lett, vol.4, p.817, 1987.

L. Yu, M. Babzien, I. Ben-zvi, L. F. Dimauro, A. Doyuran et al., High-gain harmonic-generation free-electron laser, Science, vol.289, p.932, 2000.

G. Lambert, T. Hara, D. Garzella, T. Tanikawa, M. Labat et al.,

M. Labat, PHYS. REV. ACCEL. BEAMS, vol.21, p.114802, 2018.

Y. Tanaka, P. Salieres, H. Merdji, O. Chubar, O. Gobert et al., Injection of harmonics generated in gas in a free-electron laser providing intense and coherent extreme-ultraviolet light, Nat. Phys, vol.4, p.296, 2008.

M. E. Couprie, Panorama of new generation of accelerator based short wavelength coherent light sources, Nucl. Instrum. Methods Phys. Res., Sect. B, vol.364, p.4, 2015.

C. Bostedt, S. Boutet, D. M. Fritz, Z. Huang, H. J. Lee et al., Linac coherent light source: The first five years, Rev. Mod. Phys, vol.88, p.15007, 2016.

T. Tajima and J. M. Dawson, Laser Electron Accelerator, Phys. Rev. Lett, vol.43, p.267, 1979.

K. Nakajima, Compact x-ray sources: Towards a table-top free-electron laser, Nat. Phys, vol.4, p.92, 2008.

F. Grüner, S. Becker, U. Schramm, T. Eichner, M. Fuchs et al., Design considerations for table-top, laserbased vuv and x-ray free electron lasers, Appl. Phys. B, vol.86, p.431, 2007.

M. E. Couprie, A. Loulergue, M. Labat, R. Lehe, and V. Malka, Towards a free electron laser based on laser plasma accelerators, J. Phys. B, vol.47, p.234001, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01163716

H. Schlenvoigt, K. Haupt, A. Debus, F. Budde, O. Jäckel et al., A compact synchrotron radiation source driven by a laser-plasma wakefield accelerator, Nat. Phys, vol.4, p.130, 2008.

M. Fuchs, R. Weingartner, A. Popp, Z. Major, S. Becker et al., Laser-driven soft-xray undulator source, Nat. Phys, vol.5, p.826, 2009.
DOI : 10.1038/nphys1404

URL : http://digitalcommons.unl.edu/cgi/viewcontent.cgi?article=1013&context=physicsfuchs

M. P. Anania, D. Clark, S. B. Van-der-geer, M. J. De-loos, R. Isaac et al., Transport of ultra-short electron bunches in a free-electron laser driven by a laser-plasma wakefield accelerator, Proc. SPIE Int. Soc. Opt. Eng, vol.7359, p.735916, 2009.

G. Lambert, S. Corde, K. Ta, V. Phuoc, A. B. Malka et al., Progress on the generation of undulator radiation in the UV from a plasmabased electron beam, Proceedings, 34th International Free Electron Conference, p.2012, 2012.

Z. Huang and K. J. Kim, Three-dimensional analysis of harmonic generation in high-gain free-electron lasers, Phys. Rev. E, vol.62, p.7295, 2000.

K. Floettmann, Some basic features of the beam emittance, Phys. Rev. ST Accel. Beams, vol.6, p.34202, 2003.

M. Migliorati, A. Bacci, C. Benedetti, E. Chiadroni, M. Ferrario et al., Intrinsic normalized emittance growth in laserdriven electron accelerators, Phys. Rev. ST Accel. Beams, vol.16, p.11302, 2013.

M. E. Couprie, M. Labat, C. Evain, C. Szwaj, S. Bielawski et al., Strategies towards a compact XUV free electron laser adopted for the LUNEX5 project, J. Mod. Opt, vol.63, p.309, 2016.

S. Kuschel, D. Hollatz, T. Heinemann, O. Karger, M. B. Schwab et al., Demonstration of passive plasma lensing of a laser wakefield accelerated electron bunch, Phys. Rev. Accel. Beams, vol.19, p.71301, 2016.

C. Thaury, E. Guillaume, A. Lifschitz, K. T. Phuoc, M. Hansson et al., Shock assisted ionization injection in laser-plasma accelerators, Sci. Rep, vol.5, p.16310, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01234027

J. Van-tilborg, S. Steinke, C. G. Geddes, N. H. Matlis, B. H. Shaw et al., Active Plasma Lensing for Relativistic LaserPlasma-Accelerated Electron Beams, vol.115, p.184802, 2015.

A. Loulergue, M. Labat, C. Evain, C. Benabderrahmane, V. Malka et al., Beam manipulation for compact laser wakefield accelerator based free-electron lasers, New J. Phys, vol.17, p.23028, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01164366

A. R. Maier, A. Meseck, S. Reiche, C. B. Schroeder, T. Seggebrock et al., Demonstration Scheme for a Laser-Plasma-Driven Free-Electron Laser, Phys. Rev. X, vol.2, p.31019, 2012.

T. I. Smith, J. M. Madey, L. R. Elias, and D. A. Deacon, Reducing the sensitivity of a free-electron laser to electron energy, J. Appl. Phys, vol.50, p.4580, 1979.

Z. Huang, Y. Ding, and C. B. Schroeder, Compact X-ray Free-Electron Laser from a Laser-Plasma Accelerator using a Transverse-Gradient Undulator, Phys. Rev. Lett, vol.109, p.204801, 2012.

M. E. Couprie, An application of laser plasma acceleration: towards a free-electron laser amplification, Plasma Phys. Controlled Fusion, vol.58, p.34020, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01342476

T. André, Control of laser plasma accelerated electrons for light sources, Nat. Commun, vol.9, p.1334, 2018.

S. C. Hartman, T. Shintake, and N. Akasaka, Nanometer resolution bpm using damped-slot resonator, 1995.

B. Keil, R. Baldinger, R. Ditter, W. Koprek, R. Kramert et al., Design of the swiss fel bpm system, Proceedings, 2nd International Beam Instrumentation Conference, p.427, 2013.

J. Faure, Y. Glinec, A. Pukhov, S. Kiselev, S. Gordienko et al., A laserplasma accelerator producing monoenergetic electron beams, Nature, vol.431, p.541, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00508775

C. G. Geddes, C. Toth, J. Van-tilborg, E. Esarey, C. B. Schroeder et al., REV. ACCEL. BEAMS, vol.21, p.114802, 2018.

W. P. Leemans, High-quality electron beams from a laser wakefield accelerator using plasma-channel guiding, Nature, vol.431, p.538, 2004.

S. P. Mangles, C. D. Murphy, Z. Najmudin, A. G. Thomas, J. L. Collier et al., Monoenergetic beams of relativistic electrons from intense laser-plasma interactions, Nature, vol.431, p.535, 2004.

E. Esarey, C. B. Schroeder, and W. P. Leemans, Physics of laser-driven plasma-based electron accelerators, Rev. Mod. Phys, vol.81, p.1229, 2009.

S. V. Bulanov, F. Pegoraro, A. M. Pukhov, and A. S. Sakharov, Transverse-Wake Wave Breaking, Phys. Rev. Lett, vol.78, p.4205, 1997.

A. Modena, Z. Najmudin, A. E. Dangor, C. Clayton, K. A. Marsh et al., Electron acceleration from the breaking of relativistic plasma waves, Nature, vol.377, p.606, 1995.
URL : https://hal.archives-ouvertes.fr/hal-01164880

S. Kalmykov, S. A. Yi, V. Khudik, and G. Shvets, Electron Self-Injection and Trapping into an Evolving Plasma Bubble, Phys. Rev. Lett, vol.103, p.135004, 2009.

S. Corde, C. Thaury, A. Lifschitz, G. Lambert, K. T. Phuoc et al., Observation of longitudinal and transverse selfinjections in laser-plasma accelerators, Nat. Commun, vol.4, p.1501, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01164024

C. Mcguffey, A. G. Thomas, W. Schumaker, T. Matsuoka, V. Chvykov et al., Ionization Induced Trapping in a Laser Wakefield Accelerator, Phys. Rev. Lett, vol.104, p.25004, 2010.

B. B. Pollock, C. E. Clayton, J. E. Ralph, F. Albert, A. Davidson et al., Demonstration of a Narrow Energy Spread, ?0.5 GeV Electron Beam from a Two-Stage Laser Wakefield Accelerator, Phys. Rev. Lett, vol.107, p.45001, 2011.

E. Esarey, R. F. Hubbard, W. P. Leemans, A. Ting, and P. Sprangle, Electron Injection into Plasma Wakefields by Colliding Laser Pulses, Phys. Rev. Lett, vol.79, p.2682, 1997.

J. Faure, C. Rechatin, A. Norlin, A. Lifschitz, Y. Glinec et al., Controlled injection and acceleration of electrons in plasma wakefields by colliding laser pulses, Nature, vol.444, p.737, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00502237

S. Bulanov, N. Naumova, F. Pegoraro, and J. Sakai, Particle injection into the wave acceleration phase due to nonlinear wake wave breaking, Phys. Rev. E, vol.58, p.5257, 1998.

C. G. Geddes, K. Nakamura, G. R. Plateau, . Cs, E. Toth et al., Plasma-Density-Gradient Injection of Low Absolute-Momentum-Spread Electron Bunches, Phys. Rev. Lett, vol.100, p.215004, 2008.

J. Faure, C. Rechatin, O. Lundh, L. Ammoura, and V. Malka, Injection and acceleration of quasimonoenergetic relativistic electron beams using density gradients at the edges of a plasma channel, Phys. Plasmas, vol.17, p.83107, 2010.
URL : https://hal.archives-ouvertes.fr/hal-01405588

R. Weingartner, S. Raith, A. Popp, S. Chou, J. Wenz et al., Ultralow emittance electron beams from a laser-wakefield accelerator, Phys. Rev. ST Accel. Beams, vol.15, p.111302, 2012.

K. L. Brown, A first-and second-order matrix theory for the design of beam transport systems and charged particle spectrometers, 1972.

R. Bonifacio, F. Casagrande, G. Cerchioni, L. De-salvo, P. Souza et al., Physics of the high-gain FEL and superradiance, Riv. Nuovo Cimento Soc. Ital. Fis, vol.13, p.1, 1990.

C. Benabderrahmane, M. Couprie, F. Forest, and O. Cosson, Multi -pole magnétique réglable, pp.2016034490-2016, 2016.

C. Benabderrahmane, M. Couprie, F. Forest, and O. Cosson, Adjustable magnetic multipole, 2016.

F. Marteau, P. Ngotta, C. Benabderrahmane, A. Ghaith, M. Valléau et al., Variable high gradient permanent magnet quadrupole (quapeva), Appl. Phys. Lett, vol.111, p.253503, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01704890

M. Labat, M. E. Ajjouri, N. Hubert, T. Andr'e, A. Loulergue et al., Electron and photon diagnostics for plasma accelerationbased FELs, J. Synchrotron Radiat, vol.25, p.59, 2018.

C. Benabderrahmane, Development and operation of a Pr 2 Fe 14 B based cryogenic permanent magnet undulator for a high spatial resolution x-ray beam line, Phys. Rev. Accel. Beams, vol.20, p.33201, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01554603

J. Payet, CEA, SACLAY

E. Forest, Beam Dynamics, vol.8, 1998.

K. Flöttmann and . Astra, A space charge tracking algorithm, ASTRA, 2007.

M. Khojoyan, F. Briquez, M. Labat, A. Loulergue, O. Marcouillé et al., Transport studies of lpa electron beam towards the fel amplification at coxinel, Nucl. Instrum. Methods Phys. Res., Sect. A, vol.829, p.260, 2016.

I. Agapov, G. Geloni, S. Tomin, and I. Zagorodnov, Ocelot: A software framework for synchrotron light source and fel studies, Nucl. Instrum. Methods Phys. Res., Sect. A, vol.768, p.151, 2014.
DOI : 10.1016/j.nima.2014.09.057

Y. S. Derbenev, J. Rossbach, E. L. Saldin, and V. D. Shiltsev, , 1995.

S. Reiche, 3: a fully 3d time-dependent FEL simulation code, Nucl. Instrum. Methods Phys. Res., Sect. A, vol.429, p.243, 1999.
DOI : 10.1016/s0168-9002(99)00114-x

I. A. Andriyash, R. Lehe, and V. Malka, A spectral unaveraged algorithm for free electron laser simulations, J. Comput. Phys, vol.282, p.397, 2015.
DOI : 10.1016/j.jcp.2014.11.026

URL : https://hal.archives-ouvertes.fr/hal-01164381

P. Emma, R. Carr, and H. D. Nuhn, Beam-based alignment for the lcls fel undulator, Nucl. Instrum. Methods Phys. Res., Sect. A, vol.429, p.407, 1999.
DOI : 10.1016/s0168-9002(99)00117-5

M. E. Couprie, C. Benabderrahmane, P. Berteaud, F. Briquez, L. Chapuis et al., A panoply of insertion devices at soleil for a wide spectral range and flexible polarisation, AIP Conf. Proc, vol.1234, p.519, 2010.

, REVIEW ARTICLES PHYS. REV. ACCEL. BEAMS, vol.21, p.114802, 2018.