An overview of the beam diagnostics for the laser wakefield acceleration project at the Texas Petawatt Laser facility is presented. In this experiment, short and intense laser pulses of 165 fs and up to 190 J will be used to accelerate electrons up to the GeV energy range using laser wakefield acceleration. The density variation of the plasma generated in a helium gas cell will be measured with different optical detection systems such as frequency domain holography. Spectra of the transmitted laser beam and optical transition radiation will yield information about the energy transfer to the plasma and the energy of the electrons, respectively. In addition, a calorimeter will measure accelerated electron energies. Prior to the final experiment, preliminary frequency shift measurements and simulations on optical transition radiation were performed. / text

This thesis presents results from two strands of work towards realizing a free-electron laser (FEL) driven by electron bunches generated by a laser-wakefield accelerator (LWFA). The first strand focuses on selecting operating parameters for such a light source, on the basis of currently achievable bunch parameters as well as near-term projections. The viability of LWFA-driven incoherent undulator sources producing nanojoule-level pulses of femtosecond duration at wavelengths of 5 nm and 0.5 nm is demonstrated. A study on the prospective operation of an FEL at 32 nm is carried out, on the basis of scaling laws and full 3-D time-dependent simulations. A working point is selected, based on realistic bunch parameters. At that working point saturation is expected to occur within a length of 1.6 m with peak power at the 0.1 GW-level. This level, as well as the stability of the amplification process, can be improved significantly by seeding the FEL with an external radiation source. In the context of FEL seeding, we study the ability of conventional simulation codes to correctly handle seeds from high-harmonic generation (HHG) sources, which have a broad bandwidth and temporal structure on the attosecond scale. Namely, they violate the slowly-varying envelope approximation (SVEA) that underpins the governing equations in conventional codes. For this purpose we develop a 1-D simulation code that works outside the SVEA. We carry out a set of benchmarks that lead us to conclude that conventional codes are adequately capable of simulating seeding with broadband radiation, which is in line with an analytical treatment of the interaction. The second strand of work is experimental, and focuses on on the use of coherent transition radiation (CTR) as an electron bunch diagnostic. The thesis presents results from two experimental campaigns at the MPI für Quantenoptik in Garching, Germany. We present the first set of single-shot measurements of CTR over a continuous wavelength range from 420 nm to 7 μm. Data over such a broad spectral range allows for the first reconstruction of the longitudinal profiles of electron bunches from a laser-wakefield accelerator, indicating full-width at half-maximum bunch lengths around 1.4 μm (4.7 fs), corresponding to peak currents of several kiloampères. The bunch profiles are reconstructed through the application of phase reconstruction algorithms that were initially developed for studying x-ray diffraction data, and are adapted here for the first time to the analysis of CTR data. The measurements allow for an analysis of acceleration dynamics, and suggest that upon depletion of the driving laser the accelerated bunch can itself drive a wake in which electrons are injected. High levels of coherence at optical wavelengths indicate the presence of an interaction between the bunch and the driving laser pulse.

Laser-plasma accelerators are of great interest because of their ability to sustain extremely large acceleration gradients, enabling compact accelerating structures. Laser-plasma acceleration is realized by using a high-intensity short pulse laser to drive a large plasma wave or wakefield in an underdense plasma. This thesis considers the effect of axial plasma density upramps on laser wakefield acceleration. Theoretical groundwork shows that tapered plasma channels can be used to mitigate one of the main limitations of laser plasma acceleration, that is, dephasing of an electron beam with respect to the plasma wave. It is shown that it is possible to maintain an electron bunch at constant phase in the longitudinal electric fields of the laser wake field. This leads to an increased energy gain of an electron trapped in the wakefield. The required shape of the density slope is difficult to implement in experiments. Therefore, a linear density ramp is also considered which is predicted to also increase the energy gain beyond that possible in a uniform density plasma. Towards an experimental implementation it was studied how a suitable gas density profile can be established in a capillary. This was done employing simulations using the computational fluid dynamics tool kit OpenFoam and comparing these to measurements of the axial density profile based on Raman scattering. It was demonstrated that a linear density ramp could be established by applying different pressures on the capillary gas inlets. The dependence of the density profile on the capillary parameters, such as, capillary diameter and length and inlet diameter were also studied. The results of the simulations and the measurement showed excellent agreement and demonstrate that approximately linear density ramps can be generated by flowing gas along a capillary of constant cross-section Laser wakefield acceleration in plasmas with longitudinally varying density was investigated in an experiment at the Astra Laser at Rutherford Laboratories. The experiment utilised ionisation injection in order to operate in the mildly non-linear regime of laser-wakefield acceleration. The measured electron energies agree well with the theoretical predictions. It was demonstrated that an increase in the energy gain can be obtained by driving the accelerator in a ramped plasma, the electron spectrum is more narrow and the injected charge increases significantly. Measurements of the X-ray spectrum emitted by the betatron motion of the accelerated electron bunch allowed the transverse radius of the bunch to be deduced. These measurements showed that retrieved electron bunch radius is inversely proportional to the longitudinal density gradient, that is a plasma density upramp (downramp) has a decreased (increased) electron bunch radius.

Laser plasma wakefield accelerators have seen tremendous progress in the last years, now capable of producing electron beams in the GeV energy range. The inherent few-femtoseconds short bunch duration of these accelerators leads to ultra-high peak-currents. Reducing the energy spread found in these accelerators, while scaling their output to hundreds of kiloampere peak current would stimulate the next generation of radiation sources covering high-field THz, high-brightness X-ray and -ray sources, compact free-electron lasers and laboratory-size beam-driven plasma accelerators. At such high currents, an accelerator operates in the beam loaded regime where the accelerating field is strongly modified by the self-fields of the injected bunch, potentially deteriorating key beam parameters. However, if appropriately controlled, the beam loading effect can be employed to improve the accelerator’s performance, specifically to reduce the energy spread. In this thesis the beam-loading effect is systematically studied at a quasi-monoenergetic nanocoulomb-class laser wakefield accelerator. For this purpose, a tailored scheme of the self-truncated ionisation injection process is introduced for the non-linear bubble regime. This scheme facilitates stable and tunable injection of high-charge electron bunches within a short and limited time-frame, ensuring low energy spread right after injection. Employing a three millimetres gas-jet acceleration medium and a moderate 150 TW short pulse laser system as driver, unprecedented charges of up to 0.5 nC within a quasi-monoenergetic peak and energies of ~0.5 GeV are achieved. Studying the beam loading mechanism, it is demonstrated that at the optimal loading condition, i.e. at a specific amount of injected charge, performance of the accelerator is optimised with a minimisation of the energy spread. At a relative energy spread of only 15%, the associated peak current is around 10 kA, while scaling this scheme to operate with a petawatt driver laser promises peak-currents up to 100 kA.

This thesis presents results from three strands of experimental work aimed towards establishing more reproducible, higher energy, and more accurately measured electron beams generated by a laser-driven plasma accelerator. The first experiment calibrated two types of detector frequently used to measure the bunch charge in laser wakefield accelerator experiments, namely scintillating screens and image plates. The experiments undertaken at the DAFNE beam test facility in Frascati, Italy, confirmed that the fluorescence signal from Kodak Lanex Regular screens varies linearly with the charge density for a nanosecond elec- tron bunch for charge densities in the range between ρ = 2 × 10⁻⁷ ^C/_m² to ρ = 10−5 ^C/_m². A sensitivity measurement of FUJIFILM BAS-IP MS image plates resulted in a sensitivity of SMS = (0.0487 ± 0.0028 ) PSL, which is 2.4 times higher than had been assumed prior to this work. The second strand aimed at improving the operation of the capillary discharge waveguide by re-designing the discharge circuit and the waveguide housing. The experiment showed that combining a glow discharge circuit with the pulsed discharge circuit of the capillary discharge waveguide reduced electrical noise, the timing jitter between the trigger pulse and the discharge, and the voltage required to initially break down the capillary gas for pressures below 10 mbar and above 150 mbar. The size of the housing of the capillary discharge waveguide was reduced in all three dimensions by an average of 60 %, enabling the device to be used in future staging experiments, and an open design of the housing eliminated the possibility of unwanted discharges. The new capillary design performed without flaw in the Astra-Gemini experiment and no disadvantages compared with the old housing were found. The third strand of work describes an experiment undertaken with the Astra-Gemini laser at the Central Laser Facility of the Rutherford Appleton Laboratory, United Kingdom. The improved capillary discharge waveguide was used to generate GeV-scale electron beams with good reproducibility. Beams of electrons with energies above 900 MeV, and with root- mean-square divergence of 3.5 mrad, were observed for a plasma density of 2.2 × 10¹⁸ cm⁻³ and a peak input laser power of 55 TW. The variation of the maximum electron energy with the plasma density was measured and found to agree well with simple models. The energy spectra of the generated electron beams exhibited good shot-to-shot reproducibility, with the observed variations attributable to the measured shot-to-shot jitter of the laser parameters. Two methods for correcting the effect of beam pointing variations on the measured energy spectrum were tested and it was found that using a thin Lanex screen in front of the electron spectrometer was easy to implement and did not degrade the recorded energy spectrum. The first observation of temporal compression of a laser pulse within a plasma channel with simultaneous electron acceleration to energies higher than 500 MeV is also presented. This measurement suggests that the pulse compresses linearly from the back as predicted by theory.

Une impulsion laser intense se propageant dans un plasma sous-dense (ne<<nc) déplace les électrons sur son passage et crée une onde de sillage à même d'accélérer des électrons. Lorsque l'impulsion est très intense (I₀> 10¹⁸ W.cm⁻²) et de durée très courte (τ₀< 100 fs), , on atteint le régime de la bulle. Les champs électriques dans ces bulles, de l’ordre de 100 GV/m, peuvent accélérer un faisceau d’électrons jusqu’au GeV sur des distances de l’ordre du centimètre. Dans ce régime, les électrons expulsés par la force pondéromotrice du laser forment une fine et dense couche à la surface d'une cavité d'ions restés immobiles. Les propriétés de ce régime sont examinées par l’intermédiaire d’un modèle analytique, que nous avons développé en nous inspirant du travail de W. Lu et S. Yi. En nous plaçant dans ce régime prometteur, nous avons étudié les mécanismes d’injection et de piégeage dans l'onde de sillage. Dans l’injection optique, les polarisations parallèles ou circulaires positives conduisent respectivement à une injection mettant en jeu du chauffage stochastique, ou à l’injection froide. Un paramètre de similarité est introduit, celui-ci permet de déterminer la méthode d’injection la plus appropriée pour maximiser la charge injectée. Enfin, le modèle analytique présenté en première partie est étendu afin d’étudier l’onde de sillage dans le régime de la bulle lorsqu’un champ magnétique longitudinal initial est appliqué au plasma. Lorsque le plasma est magnétisé deux phénomènes remarquables se manifestent, d'une part une ouverture apparaît à l'arrière de la bulle et d'autre part un mécanisme d'amplification du champ magnétique longitudinale est induit par la variation du flux magnétique. Les prédictions de notre modèle analytique sont confrontées aux résultats de simulations PIC 3D issues du code CALDER-Circ. La conséquence immédiate de la déformation de l'onde de sillage est la réduction, voire la suppression de l'auto-injection. L’application d’un champ magnétique longitudinal, combinée à un choix judicieux des paramètres laser-plasma, permet de réduire la dispersion en énergie des faisceaux d’électrons produits après injection optique. / An intense laser pulse propagating in an under dense plasma (ne<<nc) expels electrons and a wakefield is created which can accelerate efficiently electrons. When the laser pulse is very intense (I₀> 10¹⁸ W.cm⁻²) and short(τ₀< 100 fs), the bubble regime is reached. Within the bubble the electric field can exceed 100 GV/m and a trapped electron beam is accelerated to GeV energy with few centimetres of plasma.In this regime, the electrons expelled by the laser ponderomotive force are brought back and form a dense sheath layer. First, an analytic model was derived using W. Lu and S. Yi formalisms in order to investigate the properties of the wakefield in the blowout regime. In a second part, the trapping and injection mechanisms into the wakefield were studied. When the optical injection scheme is used, electrons may undergo stochastic heating or cold injection depending on the lasers’ polarisations. A similarity parameter was introduced to find out the most appropriate method to maximise the trapped charge. In a third part, our analytic model is extended to investigate the influence of an initially applied longitudinal magnetic field on the laser wakefield in the bubble regime. When the plasma is magnetized two remarkable phenomena occur. Firstly the bubble is opened at its rear, and secondly the longitudinal magnetic field is amplified - at the rear of the bubble - due to the azimuthal current induced by the variation of the magnetic flux. The predictions of our analytic model were shown to be in agreement with 3D PIC simulation results obtained with Calder-Circ. In most situations the wake shape is altered and self-injection can be reduced or even cancelled by the applied magnetic field. However, the application of a longitudinal magnetic field, combined with a careful choice of laser-plasma parameters, reduces the energy spread of the electron beam produced after optical injection.

L’interaction d’une impulsion laser, courte (~ 10 - 100 fs) et ultra-intense (> 10^18 W/cm²), avec un plasma sous-dense (< 10^19 cm^-3) peut accélérer, de manière compacte, une fraction des électrons du plasma jusqu’à des énergies relativistes (~ 100 - 300MeV). Ce phénomène, nommé accélération plasma par sillage laser (APSL), pourrait avoir de nombreuses applications telles que le futur collisionneur d’électrons a ultra-hautes énergies. Cependant, cela requiert au préalable des développements supplémentaires afin que l’APSL produise des paquets d’électrons stables et reproductibles avec une excellente qualité, c’est-à-dire de faibles émittances longitudinale et transverses.Au cours de cette thèse, une étude expérimentale de la stabilité et de la reproductibilité des paquets d’électrons auto-injectes a été réalisée dans des tubes capillaires diélectriques, de longueur 8-20mm et de rayon interne 76-89 µm, contenant du H2 pur a une densité électronique de (10 +/- 1, 5)x10^18 cm^-3. Des paquets d’électrons auto-injectes ont été produits, a une cadence de deux tirs par minute, avec une charge accélérée au-delà de 40 MeV de (66+/-7) pC, une énergie moyenne de (65+/-6) MeV, une divergence de (9+/-1) mrad et une fluctuation de pointe de 2,3 mrad. Trois sources de fluctuations et de dérives des propriétés des paquets d’électrons ont été discutées : dérive d’énergie laser, modification du gradient montant de densité électronique et fluctuations du pointé laser. Des contraintes sur le régime de fonctionnement ont été proposées afin d’améliorer la stabilité et la reproductibilité de la source laser-plasma d’électrons.Un mécanisme alternatif d’injection d’électrons dans l’onde de plasma a également été examiné : l’injection induite par ionisation. Une étude expérimentale a montré que les paquets d’électrons accélérés dans un mélange de 99%H2 + 1%N2 ont une charge deux fois plus importante qu’en présence de H2 pur. De plus, une injection plus précoce a été observée pour le mélange de 99%H2 + 1%N2, indiquant que les premiers électrons sont captures selon le mécanisme d’injection induite par ionisation. Une étude complémentaire, utilisant des simulations Particle-In-Cell avec le code WARP, confirment les résultats expérimentaux et suggèrent que l’auto-injection est supprimée par l’injection induite par ionisation. / The interaction of a short (~ 10 - 100 fs) and ultra-intense (> 10^18 W/cm²) laser pulse with an underdense (< 10^19 cm^-3) plasma can accelerate, in a compact way, a fraction of the electrons of the plasma toward relativistic energies (~ 100 - 300MeV). This mechanism, called laser wakefield acceleration (LWFA), might have various applications such as the future ultra-high energy electron collider. Prior to this, additional investigations are needed to ensure, through LWFA, a stable and reproducible generation of electron bunches of high quality, i.e. low transverse and longitudinal emittances.In this thesis, the stability and the reproducibility of the electron self-injection were experimentally investigated in 8-20mm long, dielectric capillary tubes, with an internal radius of 76-89 µm, and filled with pure H2 at an electronic density of de (10 +/- 1.5)x10^18 cm^-3. Electron bunches were produced, at a rate of two shots per minute, with an accelerated charge above 40 MeV of (66+/-7) pC, a mean energy of (65+/-6) MeV, a divergence of (9+/-1) mrad, and a pointing fluctuation of 2.3 mrad. Three sources were identified for the fluctuations and drifts of the electron bunch properties: laser energy drift, change of the electron number density upramp, and laser pointing fluctuations. Restrictions on the operating regime were proposed in order to improve the stability and the reproducibility of the laser-plasma electron source.An alternative mechanism of electron injection into the plasma wave was also investigated: the ionization-induced injection. An experimental study demonstrated that electron bunches generated in a mixture of 99%H2 + 1%N2 have twice more accelerated charge than in the case of pure H2. Moreover, the earlier onset of electron injection was observed for the mixture 99%H2 + 1%N2, indicating that the first electrons were trapped under the mechanism of ionization-induced injection. Particle-In-Cell simulations performed with the code WARP confirm the experimental results and suggest that the self-injection was inhibited by the ionization-induced injection.

L’accélération par sillage laser (ASL) repose sur l’interaction entre un faisceau laser intense et un plasma sous-dense. Au travers de cette interaction, une onde de plasma est générée avec un fort champ accélérateur, de trois ordres de grandeur plus élevé que celui d’un accélérateur conventionnel, rendant envisageable la réalisation d’accélérateurs futurs plus compacts. Pour la conception d’un futur accélérateur, un faisceau d’électrons de forte charge, faible dispersion en énergie et faible émittance doit être accéléré à des grandes énergies. Pour ce faire, la solution consiste à accélérer ces électrons dans un schéma multi-étages, qui est composé de trois étages: un injecteur, une ligne de transport et un accélérateur. Ce travail de thèse porte sur la modélisation de l’injecteur avec le code PIC Warp et sur les méthodes numériques telles que la technique de Lorentz-boosted frame pour diminuer le temps de calcul et la couche absorbante parfaite de Bérenger (PML) pour assurer la précision des calculs numériques. Ce travail de thèse a démontré l’efficacité de la PML dans les schémas FDTD à des ordres élevés et pseudo-spectral. Il a aussi démontré la convergence des résultats des simulations réalisées avec la technique de Lorentz-boosted frame dans un régime fortement non-linéaire de l’injecteur, permettant d’accélérer les calculs d’un facteur important (36) tout en assurant leur précision. La modélisation effectuée dans cette thèse a permis d’analyser et de comprendre les résultats expérimentaux, ainsi que de prédire les résultats des futures expériences. Plusieurs méthodes d’optimisation de l’injecteur ont également été proposées pour la génération d’un faisceau d’électrons conforme aux spécifications d’un futur accélérateur. / Laser Wakefield Acceleration (LWFA) relies on the interaction between an intense laser pulse and an under-dense plasma. This interaction generates a plasma wave with a strong accelerating field, which is three orders of magnitude higher than the one of the conventional accelerator; more compact accelerator is therefore theoretically possible. In the design of a future accelerator, a high quality electron bunch with a high charge, low energy spread and low emittance has to be accelerated to high energies. A solution for this is a multi-stage accelerator, which consists of an injector, a transport line and accelerator stages. This research work focuses on the modelling of the injector using the PIC code Warp and on the numerical methods such as the Lorentz-boosted frameto speedup calculations and the Perfectly Matched Layer (PML) to ensure the precision in numerical calculations. The outcome of this thesis has demonstrated the efficiency of the PML in the high-order FDTD and the pseudo-spectral solvers. Besides, it has also demonstrated the convergence of the results performed in simulations using the Lorentz-boosted frame technique. This technique speeds up simulations by a large factor (36) while preserving their accuracy. The modelling work in this thesis has allowed analysis and understanding of experimental results, as well as prediction of results for future experiments. This thesis has also shown ways to optimize the injector to deliver an electron bunch that conforms with the specifications of future accelerators.

In laser wakefield acceleration, an ultra-short high-intensity laser pulse excites a plasma wave, which can sustain accelerating electric fields of several hundred GV/m. This scheme advances a novel concept for compact and less expensive electron accelerators, which can be hosted in a typical university size laboratory. Furthermore, laser wakefield accelerators (LWFA) feature unique electron bunch characteristics, namely micrometer size with duration ranging from several fs to tens of fs. Precise knowledge of the longitudinal profile of such ultra-short electron bunches is essential for the design of future table-top X-ray light-sources and remains a big challenge due to the resolution limit of existing diagnostic techniques. Spectral measurement of broadband coherent and incoherent transition radiation (TR) produced when electron bunches passing through a metal foil is a promising way to analyze longitudinal characteristics of these bunches. Due to the limited reproducibility of the electron source this measurement highly requires single-shot capability. An ultra-broadband spectrometer combines the TR spectrum in UV/NIR (200-1000 nm), NIR (0.9-1.7 µm) and mid-IR (1.6-12 µm). A high spectral sensitivity, dynamic bandwidth and spectral resolution are realized by three optimized dispersion and detection systems integrated into a single-shot spectrometer. A complete characterization and calibration of the spectrometer have been done concerning wavelengths, relative spectral sensitivities, and absolute photometric sensitivities, also taking into account for the light polarization. The TR spectrometer is able to characterize electron bunches with charges as low as 1pC and can resolve time-scales of 0.4 fs. Electron bunches up to 16 fs (rms width) can be reconstructed from their TR spectrum. In the presented work, the self-truncated ionization induced injection (STII) scheme has been explored to study the relevant beam parameters especially its longitudinal bunch profile and the resulting peak current.

GeV electron bunches accelerated on a centimeter scale device exemplify the extraordinary advances of laser-plasma acceleration. The combination of high charges from optimized injection schemes and intrinsic femtosecond short bunch duration yields kiloampere peak currents. Further enhancing the current while reducing the energy spread will pave the way for future application, e.g. the driver for compact secondary radiation sources such as high-field THz, high-brightness x-ray or gamma-ray sources. One essential key for beam transport to a specific application is an electron bunch with high quality beam parameters such as low energy spread as well as small divergence and spot size. The inherent micrometer size at the plasma exit is typically sufficient for an efficient coupling into a conventional beamline. However, energy spread and beam divergence require optimization before the beam can be transported efficiently. Induced by the high peak current, the beam loading regime can be used in order to achieve optimized beam parameters for beam transport. / In this thesis, the impact of beam loading on the transverse electron dynamic is systematically studied by investigating betatron radiation and electron beam divergence. For this reason, the bubble regime with self-truncated ionization injection (STII) is applied to set up a nanocoulomb-class laser wakefield accelerator. The accelerator is driven by 150TW laser pulses from the DRACO high power laser system. A supersonic gas jet provides a 3mm long acceleration medium with electron densities from 3 × 10^18 cm^−3 to 5 × 10^18 cm^−3. The STII scheme together with the employed setup yields highly reproducible injections with bunch charges of up to 0.5 nC. The recorded betatron radius at the accelerator exit is about one micron and reveals that the beam size stays at the same value. The optimal beam loading, which is observed at around 250 pC to 300 pC, leads to the minimum energy spread of ~40MeV and a 20% smaller divergence. It is demonstrated that an incomplete betatron phase mixing due to the small energy spread can explain the experimentally observed minimum beam divergence.