<table>
  <tbody>
    <tr>
      <td>23.39</td>
      <td>Transverse and longitudinal phase space of the improved (smoothed) beam at the undulator entrance.</td>
      <td>4039</td>
    </tr>
    <tr>
      <td>23.40</td>
      <td>Scheme 5 combining a 500 MeV RF injector with a PPAS to 1 GeV.</td>
      <td>4040</td>
    </tr>
    <tr>
      <td>23.41</td>
      <td>Horizontal and vertical phase-space distribution of the PWFA driver and witness beams at the capillary entrance.</td>
      <td>4041</td>
    </tr>
    <tr>
      <td>23.42</td>
      <td>Transverse horizontal and vertical distribution of the PWFA driver and witness beams at the capillary entrance.</td>
      <td>4041</td>
    </tr>
    <tr>
      <td>23.43</td>
      <td>Driver and witness density contour plots with the position of the accelerating electric field overlaid.</td>
      <td>4043</td>
    </tr>
    <tr>
      <td>23.44</td>
      <td>Transverse and longitudinal phase spaces at the plasma exit of Scheme 5.</td>
      <td>4044</td>
    </tr>
    <tr>
      <td>23.45</td>
      <td>Evolution of the beam parameters from Scheme 5 along the HETL.</td>
      <td>4046</td>
    </tr>
    <tr>
      <td>24.1</td>
      <td>Magnetic unit cell of a system made up of an undulator as well as focussing and defocusing quadrupoles for the λ<sub>u</sub> = 3 cm configuration.</td>
      <td>4050</td>
    </tr>
    <tr>
      <td>24.2</td>
      <td>Energy, current, energy spread, and normalised emittance slice profiles for Schemes 3-5 GeV and 2-5 GeV.</td>
      <td>4051</td>
    </tr>
    <tr>
      <td>24.3</td>
      <td>Energy, current, energy spread, and normalised emittance slice profiles for Schemes 3-1 GeV and 5-1 GeV</td>
      <td>4051</td>
    </tr>
    <tr>
      <td>24.4</td>
      <td>Growth of the SASE FEL energy per pulse of Scheme 2-5 GeV and Scheme 3-5 GeV for the short-undulator-period configuration.</td>
      <td>4051</td>
    </tr>
    <tr>
      <td>24.5</td>
      <td>Growth of the SASE FEL energy per pulse of Scheme 5-1 GeV and Scheme 3-1 GeV for the short-undulator-period configuration.</td>
      <td>4051</td>
    </tr>
    <tr>
      <td>24.6</td>
      <td>Growth of the SASE FEL energy per pulse of Scheme 2-5 GeV and Scheme 3-5 GeV for the long-undulator-period configuration.</td>
      <td>4054</td>
    </tr>
    <tr>
      <td>24.7</td>
      <td>Growth of the SASE FEL energy per pulse of Scheme 5-1 GeV and Scheme 3-1 GeV for the long-undulator-period configuration.</td>
      <td>4055</td>
    </tr>
    <tr>
      <td>24.8</td>
      <td>Cartoon of the trajectory of an electron with maximum Lorentz factor γ<sub>z0</sub> being accelerated in a non-linear wakefield leading to betatron emission.</td>
      <td>4057</td>
    </tr>
    <tr>
      <td>24.9</td>
      <td>Conceptual visualisation of a betatron beamline at the proposed EuPRAXIA laser-driven construction site.</td>
      <td>4060</td>
    </tr>
    <tr>
      <td>24.10</td>
      <td>Cartoon of the collision of an electron with Lorentz factor γ with a laser resulting in MeV radiation emission.</td>
      <td>4064</td>
    </tr>
    <tr>
      <td>25.1</td>
      <td>Schematic layout for the electron test beamline.</td>
      <td>4067</td>
    </tr>
    <tr>
      <td>25.2</td>
      <td>Simulated evolution of the transverse size of the positron beam through the low-energy beamline.</td>
      <td>4067</td>
    </tr>
    <tr>
      <td>25.3</td>
      <td>Conceptual visualisation of the positron and test electron beamline at the proposed EuPRAXIA laser-driven construction site.</td>
      <td>4069</td>
    </tr>
    <tr>
      <td>25.4</td>
      <td>Conceptual design of the low-energy positron beamline to be installed at the laser-driven plasma acceleration construction site.</td>
      <td>4070</td>
    </tr>
    <tr>
      <td>25.5</td>
      <td>Conceptual design of the high-energy positron beamline designed for the PWFA construction site.</td>
      <td>4072</td>
    </tr>
    <tr>
      <td>25.6</td>
      <td>Simulated evolution of the transverse size of the beam through the high-energy beamline.</td>
      <td>4072</td>
    </tr>
    <tr>
      <td>26.1</td>
      <td>Three-dimensional electron density maps, extracted from particle-in-cell simulations for LWFA and PWFA.</td>
      <td>4074</td>
    </tr>
    <tr>
      <td>26.2</td>
      <td>Schematic of the double-jet plasma target for the LPWFA proof-of-concept experiment at HZDR.</td>
      <td>4077</td>
    </tr>
    <tr>
      <td>26.3</td>
      <td>The 6D brightness reach of the three related "plasma-cathode" schemes described here exceeds the state of the art by many orders of magnitude.</td>
      <td>4079</td>
    </tr>
    <tr>
      <td>26.4</td>
      <td>3D PIC-simulations reproducing the plasma-torch downramp injection experiment during the E-210: Trojan Horse programme at SLAC FACET.</td>
      <td>4080</td>
    </tr>
    <tr>
      <td>26.5</td>
      <td>Schematic of a hybrid LWFA→PWFA staged setup with wakefield-induced ionisation injection.</td>
      <td>4081</td>
    </tr>
  </tbody>
</table>
<table>
  <tbody>
    <tr>
      <td>26.6</td>
      <td>3D OSIRIS simulation for a PWFA stage with wakefield-induced ionization injection.</td>
      <td>4082</td>
    </tr>
    <tr>
      <td>26.7</td>
      <td>The plasma photo-cathode mechanism in collinear geometry in the co-moving frame and laboratory frame.</td>
      <td>4084</td>
    </tr>
    <tr>
      <td>26.8</td>
      <td>Plasma photo-cathode beam brightness transformer based on the Trojan Horse mechanism as a transformative source for applications.</td>
      <td>4085</td>
    </tr>
    <tr>
      <td>26.9</td>
      <td>Bubble structures and injected electron bunches in a density-profile-tailored plasma.</td>
      <td>4087</td>
    </tr>
    <tr>
      <td>26.10</td>
      <td>Phase space of injected electrons and the accelerating field E<sub>z</sub> for the external field B<sub>y</sub><sup>ext</sup> = 0, 20, 50 T.</td>
      <td>4087</td>
    </tr>
    <tr>
      <td>26.11</td>
      <td>Sketch of the radiation source from a helical plasma undulator based on LWFA in a plasma channel and the resulting far-field X-ray radiation distribution.</td>
      <td>4090</td>
    </tr>
    <tr>
      <td>26.12</td>
      <td>Results of 2D simulations of the X-ray generation from LWFA using flying mirrors.</td>
      <td>4092</td>
    </tr>
    <tr>
      <td>27.1</td>
      <td>Risk estimation and risk reduction.</td>
      <td>4094</td>
    </tr>
    <tr>
      <td>29.1</td>
      <td>Map of European EuPRAXIA consortium facilities.</td>
      <td>4108</td>
    </tr>
    <tr>
      <td>29.2</td>
      <td>View of the laser facilities at APOLLON.</td>
      <td>4109</td>
    </tr>
    <tr>
      <td>29.3</td>
      <td>Layout of the CLARA facility.</td>
      <td>4109</td>
    </tr>
    <tr>
      <td>29.4</td>
      <td>Schematic view of the COXINEL beamline.</td>
      <td>4110</td>
    </tr>
    <tr>
      <td>29.5</td>
      <td>Footprint of the ELBE Centre for High Power Radiation Sources at the Helmholtz Zentrum Dresden-Rossendorf.</td>
      <td>4111</td>
    </tr>
    <tr>
      <td>29.6</td>
      <td>The L1 "Allegra" laser developed in-house by the ELI Beamlines laser team (100 mJ, 1 kHz).</td>
      <td>4111</td>
    </tr>
    <tr>
      <td>29.7</td>
      <td>The L2 "Amos" laser system is under development now at ELI-Beamlines (20 J, 10 Hz).</td>
      <td>4111</td>
    </tr>
    <tr>
      <td>29.8</td>
      <td>The L3 "HAPLS" laser system at ELI-Beamlines (30 J, 10 Hz).</td>
      <td>4112</td>
    </tr>
    <tr>
      <td>29.9</td>
      <td>The L4 "Aton" laser system is under development now at ELI-Beamlines (2 kJ, 1 shot/min).</td>
      <td>4112</td>
    </tr>
    <tr>
      <td>29.10</td>
      <td>Control room of the POLARIS laser at the Helmholtz Institute Jena.</td>
      <td>4114</td>
    </tr>
    <tr>
      <td>29.11</td>
      <td>ILIL experimental area.</td>
      <td>4116</td>
    </tr>
    <tr>
      <td>29.12</td>
      <td>The Zhi lab set up at the John Adams Institute at Imperial College.</td>
      <td>4116</td>
    </tr>
    <tr>
      <td>29.13</td>
      <td>Layout of the FLUTE facility and support rooms.</td>
      <td>4116</td>
    </tr>
    <tr>
      <td>29.14</td>
      <td>Layout of FLUTE accelerator to be placed on 21 m diagonal of the bunker ground level.</td>
      <td>4116</td>
    </tr>
    <tr>
      <td>29.15</td>
      <td>Laser systems at CALA.</td>
      <td>4118</td>
    </tr>
    <tr>
      <td>29.16</td>
      <td>3D visualisation of the SINBAD facility.</td>
      <td>4123</td>
    </tr>
    <tr>
      <td>29.17</td>
      <td>Layout of the SPARC LAB facility.</td>
      <td>4125</td>
    </tr>
    <tr>
      <td>29.18</td>
      <td>SPARC PWFA test station.</td>
      <td>4126</td>
    </tr>
    <tr>
      <td>29.19</td>
      <td>The new laser laboratory at the University of Oxford under construction.</td>
      <td>4126</td>
    </tr>
    <tr>
      <td>29.20</td>
      <td>The building of the Wigner Datacenter (image courtesy of Wigner Research Centre for Physics).</td>
      <td>4127</td>
    </tr>
    <tr>
      <td>30.1</td>
      <td>Map of international EuPRAXIA consortium facilities.</td>
      <td>4128</td>
    </tr>
    <tr>
      <td>30.2</td>
      <td>Layout of the platform for LWFA of electrons at the RIKEN SPring-8 Centre.</td>
      <td>4130</td>
    </tr>
    <tr>
      <td>30.3</td>
      <td>Structure and key topics of the MIRAI program.</td>
      <td>4130</td>
    </tr>
    <tr>
      <td>31.1</td>
      <td>Map of European supercomputing facilities ranked in the Top 100 worldwide.</td>
      <td>4132</td>
    </tr>
    <tr>
      <td>32.1</td>
      <td>Performance scalings for SMILEI code.</td>
      <td>4138</td>
    </tr>
    <tr>
      <td>32.2</td>
      <td>Strong parallel scaling of Warp EM solver.</td>
      <td>4139</td>
    </tr>
    <tr>
      <td>32.3</td>
      <td>Laser power threshold for self-injection as a function of plasma electronic density.</td>
      <td>4163</td>
    </tr>
    <tr>
      <td>32.4</td>
      <td>Example of laser envelope and wake potential energy for a<sub>0</sub> = 2.5.</td>
      <td>4167</td>
    </tr>
  </tbody>
</table>
<table>
  <tbody>
    <tr>
      <td>32.5</td>
      <td>Comparison of published results with EuPRAXIA injector parameters.</td>
      <td>4176</td>
    </tr>
    <tr>
      <td>32.6</td>
      <td>EuPRAXIA leaflet.</td>
      <td>4182</td>
    </tr>
    <tr>
      <td>32.7</td>
      <td>EuPRAXIA brochure.</td>
      <td>4182</td>
    </tr>
    <tr>
      <td>32.8</td>
      <td>Demonstration of the Surfatron game at a past outreach event.</td>
      <td>4183</td>
    </tr>
    <tr>
      <td>32.9</td>
      <td>Outreach activities on the "Physics of Star Wars" in Nov 2017.</td>
      <td>4186</td>
    </tr>
    <tr>
      <td>32.10</td>
      <td>Beam spot on a screen downstream of the lens with the discharge turned off and on.</td>
      <td>4188</td>
    </tr>
    <tr>
      <td>32.11</td>
      <td>Resulting emittance as a function of beam spot size at capillary entrance.</td>
      <td>4188</td>
    </tr>
    <tr>
      <td>32.12</td>
      <td>Direct measurements of the radial magnetic field profile in an APL.</td>
      <td>4189</td>
    </tr>
    <tr>
      <td>32.13</td>
      <td>Emittance measurements from a series of quadrupole scans in both helium and argon.</td>
      <td>4190</td>
    </tr>
    <tr>
      <td>32.14</td>
      <td>LPS of the beam and longitudinal plasma wakefield produced in a plasma channel.</td>
      <td>4190</td>
    </tr>
    <tr>
      <td>32.15</td>
      <td>Energy spectrum of the electron beam after the capillary without and with plasma in the channel.</td>
      <td>4191</td>
    </tr>
    <tr>
      <td>32.16</td>
      <td>A series of energy spectra for no interaction with plasma as well as two dechirping plasma densities.</td>
      <td>4192</td>
    </tr>
    <tr>
      <td>32.17</td>
      <td>The FWHM of the chirped bunch energy as a function of discharge time relative to the arrival time of the electron bunch.</td>
      <td>4193</td>
    </tr>
    <tr>
      <td>32.18</td>
      <td>Scheme of the segmented capillary.</td>
      <td>4194</td>
    </tr>
    <tr>
      <td>32.19</td>
      <td>Sample shots showing energy spectrum of a two-bunch beam, with a driver and a witness bunch, with no interaction and after passing through 33 mm of plasma.</td>
      <td>4196</td>
    </tr>
    <tr>
      <td>32.20</td>
      <td>Sketch and photo of the experimental setup for the ultra cold electron source at Manchester University.</td>
      <td>4197</td>
    </tr>
    <tr>
      <td>32.21</td>
      <td>The first electrons measured on 2nd March 2017 at Manchester University.</td>
      <td>4197</td>
    </tr>
    <tr>
      <td>32.22</td>
      <td>Example of the modulation of the transverse beam size due to the phase-dependence of the focusing field.</td>
      <td>4198</td>
    </tr>
    <tr>
      <td>32.23</td>
      <td>The SPARC_LAB experimental apparatus and conceptual drawing, as seen after its installation in 2018.</td>
      <td>4204</td>
    </tr>
    <tr>
      <td>32.24</td>
      <td>Discharge current profile and averaged density along the entire capillary length acquired every 100 ns of delay from the discharge trigger.</td>
      <td>4204</td>
    </tr>
    <tr>
      <td>32.25</td>
      <td>Plasma electron density distribution along the capillary measured at the maximum density value for an increasing number of shots.</td>
      <td>4205</td>
    </tr>
    <tr>
      <td>32.26</td>
      <td>Entrance of the capillary after the print and after more than 55,000 shots.</td>
      <td>4205</td>
    </tr>
    <tr>
      <td>32.27</td>
      <td>Screenshot of the CAD model of the proposed EuPRAXIA facility layout in a perspective view.</td>
      <td>4207</td>
    </tr>
    <tr>
      <td>32.28</td>
      <td>Screenshot of the CAD model of the proposed EuPRAXIA facility layout in a top view.</td>
      <td>4209</td>
    </tr>
  </tbody>
</table>
List of Tables

<table><tr><td>2.1</td><td>Summary of the electron beam properties of several accelerator test facilities currently in operation or under development.</td><td>3722</td></tr><tr><td>2.2</td><td>Main positron beam parameters obtainable in FACET and FACET-II compared with those achievable with EuPRAXIA.</td><td>3729</td></tr><tr><td>2.3</td><td>Calculated positron lifetimes (ps) for perfect lattice (bulk) and monovacancy defects in selected materials.</td><td>3732</td></tr><tr><td>3.1</td><td>Performance summary of the EuPRAXIA design.</td><td>3738</td></tr><tr><td>3.2</td><td>Institutes with interests in particular EuPRAXIA cluster topics.</td><td>3742</td></tr><tr><td>3.3</td><td>Comparison of the expected EuPRAXIA machine length with other facilities of equivalent beam energies.</td><td>3753</td></tr><tr><td>3.4</td><td>Parameters achieved with the start-to-end simulations for the EuPRAXIA@SPARC_LAB facility.</td><td>3761</td></tr><tr><td>4.1</td><td>EuPRAXIA Cost Estimate.</td><td>3782</td></tr><tr><td>4.2</td><td>Cost split beam-driven plasma accelerator.</td><td>3784</td></tr><tr><td>4.3</td><td>Cost split laser-driven plasma accelerator.</td><td>3786</td></tr><tr><td>4.4</td><td>Costs for various scenarios.</td><td>3789</td></tr><tr><td>5.1</td><td>General risks for EuPRAXIA project.</td><td>3799</td></tr><tr><td>7.1</td><td>Main parameters of some PW laser systems worldwide.</td><td>3822</td></tr><tr><td>8.1</td><td>Naming convention of the different accelerator schemes investigated as part of the EuPRAXIA conceptual design study.</td><td>3830</td></tr><tr><td>9.1</td><td>Estimated goal parameters of the electron beam at the entrance of an undulator for FEL lasing.</td><td>3832</td></tr><tr><td>9.2</td><td>Summary table of parameters and technical data of the laser system.</td><td>3833</td></tr><tr><td>9.3</td><td>Summary table of parameters and technical data of the RF injector and accelerator.</td><td>3833</td></tr><tr><td>9.4</td><td>Summary table of parameters and technical data of the plasma injector.</td><td>3834</td></tr><tr><td>9.5</td><td>Summary table of parameters and technical data of the plasma accelerator stages.</td><td>3834</td></tr><tr><td>9.6</td><td>Summary table of parameters and technical data of the beam transport.</td><td>3835</td></tr><tr><td>9.7</td><td>Summary table of parameters and technical data of the free-electron laser.</td><td>3836</td></tr><tr><td>9.8</td><td>Summary table of parameters and technical data of the betatron and inverse Compton scattering sources.</td><td>3837</td></tr><tr><td>9.9</td><td>Summary table of parameters and technical data of the secondary particle sources.</td><td>3837</td></tr><tr><td>9.10</td><td>Summary table of parameters from the start-to-end simulations of different acceleration schemes.</td><td>3838</td></tr><tr><td>10.1</td><td>Laser parameters for the three EuPRAXIA laser driver beamlines.</td><td>3841</td></tr><tr><td>10.2</td><td>Setup and component characteristics for the various amplification stages.</td><td>3843</td></tr><tr><td>10.3</td><td>Main design and operational parameter for the amplifier AMP3 in the reflection configuration.</td><td>3846</td></tr><tr><td>11.1</td><td>Set of laser diagnostics, their proposed positioning along the beamline, and data taking rates.</td><td>3865</td></tr><tr><td>11.2</td><td>A strategic view of protection measures put into place along the laser chains.</td><td>3866</td></tr><tr><td>12.1</td><td>Main parameters of the RF gun.</td><td>3871</td></tr><tr><td>12.2</td><td>Parameters of the gun solenoid.</td><td>3873</td></tr><tr><td>12.3</td><td>Characteristics of the solenoid focussing magnets per linac section.</td><td>3875</td></tr><tr><td>12.4</td><td>Technical specifications of the S-band accelerating sections.</td><td>3875</td></tr><tr><td>12.5</td><td>Main specifications of the S-band klystrons.</td><td>3877</td></tr><tr><td>12.6</td><td>Characteristics of the EuPRAXIA constant gradient accelerating section.</td><td>3882</td></tr></table>
<table>
  <tbody>
    <tr>
      <td>12.7</td>
      <td>Main parameters of the X-band linac RF system.</td>
      <td>3883</td>
    </tr>
    <tr>
      <td>13.1</td>
      <td>Target parameters for electron bunches generated by LPIs.</td>
      <td>3885</td>
    </tr>
    <tr>
      <td>13.2</td>
      <td>LPI using a density downramp: beam parameters at the end of the plasma lens.</td>
      <td>3888</td>
    </tr>
    <tr>
      <td>13.3</td>
      <td>Main characteristics of the electron bunch for different values of CN2.</td>
      <td>3891</td>
    </tr>
    <tr>
      <td>13.4</td>
      <td>Experimental parameters for the low-energy LPI.</td>
      <td>3893</td>
    </tr>
    <tr>
      <td>13.5</td>
      <td>Experimental parameters for the 1 GeV LPI.</td>
      <td>3894</td>
    </tr>
    <tr>
      <td>13.6</td>
      <td>Beam parameters and the accelerator properties that impact their stability.</td>
      <td>3895</td>
    </tr>
    <tr>
      <td>14.1</td>
      <td>Target values for the 1 GeV electron beam parameters to drive a SASE FEL.</td>
      <td>3898</td>
    </tr>
    <tr>
      <td>14.2</td>
      <td>Main photo-injector parameters.</td>
      <td>3899</td>
    </tr>
    <tr>
      <td>14.3</td>
      <td>Witness beam parameters at the end of the photo-injector in the case of pure RF compression.</td>
      <td>3900</td>
    </tr>
    <tr>
      <td>14.4</td>
      <td>L1 and L2 linac parameter list.</td>
      <td>3902</td>
    </tr>
    <tr>
      <td>14.5</td>
      <td>Beam parameters at the linac exit and the injection point.</td>
      <td>3906</td>
    </tr>
    <tr>
      <td>14.6</td>
      <td>L1 and L2 linac parameter list for the PWFA external injection scheme.</td>
      <td>3907</td>
    </tr>
    <tr>
      <td>14.7</td>
      <td>Main photo-injector parameters.</td>
      <td>3908</td>
    </tr>
    <tr>
      <td>14.8</td>
      <td>Driver and witness beam parameters at the end of the photo-injector.</td>
      <td>3910</td>
    </tr>
    <tr>
      <td>16.1</td>
      <td>Example of parameter sets to achieve an energy gain of the order of 5 GeV in a laser-driven plasma-accelerator stage.</td>
      <td>3923</td>
    </tr>
    <tr>
      <td>17.1</td>
      <td>Total and best slice PWFA bunch parameters at plasma entrance and exit.</td>
      <td>3930</td>
    </tr>
    <tr>
      <td>18.1</td>
      <td>Typical quadrupole specifications.</td>
      <td>3937</td>
    </tr>
    <tr>
      <td>18.2</td>
      <td>Characteristics of fixed-gradient quadrupoles.</td>
      <td>3938</td>
    </tr>
    <tr>
      <td>18.3</td>
      <td>Characteristics of variable gradient quadrupoles.</td>
      <td>3939</td>
    </tr>
    <tr>
      <td>18.4</td>
      <td>Typical characteristics of permanent magnets used for undulators.</td>
      <td>3941</td>
    </tr>
    <tr>
      <td>18.5</td>
      <td>Width of magnets and poles for different periods and coefficients of the fitting curves, a, b and c, shown in Figure 18.2. The magnetic field is fitted with the equation B<sub>peak</sub> = a exp(b<sub>u</sub><sup>g</sup> + c<sub>u</sub><sup>g</sup>)<sup>2</sup>), where g is the magnetic gap.</td>
      <td>3943</td>
    </tr>
    <tr>
      <td>19.1</td>
      <td>Parameters of the focusing elements in the low-energy transport line using six quadrupoles.</td>
      <td>3952</td>
    </tr>
    <tr>
      <td>19.2</td>
      <td>Parameters of the focusing elements in the low-energy transport line using eight quadrupoles.</td>
      <td>3954</td>
    </tr>
    <tr>
      <td>19.3</td>
      <td>Parameters of the focusing elements in the low-energy transport line using two active plasma lenses.</td>
      <td>3958</td>
    </tr>
    <tr>
      <td>19.4</td>
      <td>Comparison of the beam parameters at the end of the LPI and at the entrance of the LPAS for the four different low-energy transfer line configurations.</td>
      <td>3958</td>
    </tr>
    <tr>
      <td>19.5</td>
      <td>Electron beam matching parameters at the entrance of the undulator section in the case of a short-undulator-period design.</td>
      <td>3959</td>
    </tr>
    <tr>
      <td>19.6</td>
      <td>Matching parameters at the entrance of the undulator section in the case of a long-undulator-period setup.</td>
      <td>3959</td>
    </tr>
    <tr>
      <td>19.7</td>
      <td>Parameters of the focusing elements in the high-energy transport line to the undulator for the case of Scheme 1.</td>
      <td>3961</td>
    </tr>
    <tr>
      <td>19.8</td>
      <td>Comparison between the beam parameters at the LPI exit and at the entrance of the undulator for Scheme 1.</td>
      <td>3962</td>
    </tr>
    <tr>
      <td>19.9</td>
      <td>Parameters of the focusing elements in the transport line to the undulator for the case of Scheme 2.</td>
      <td>3963</td>
    </tr>
    <tr>
      <td>19.10</td>
      <td>Comparison between the beam parameters at the LPAS exit and at the entrance of the undulator for Scheme 2.</td>
      <td>3963</td>
    </tr>
  </tbody>
</table>
<table>
  <tbody>
    <tr>
      <td>19.11</td>
      <td>Parameters of the focusing elements in the transport line to the undulator for the case of Scheme 3.</td>
      <td>3963</td>
    </tr>
    <tr>
      <td>19.12</td>
      <td>Comparison between the beam parameters at the LPAS exit and at the entrance of the undulator for Scheme 3.</td>
      <td>3963</td>
    </tr>
    <tr>
      <td>19.13</td>
      <td>Parameters of the focusing elements in the transport line between the two LPAS stages in Scheme 4.</td>
      <td>3967</td>
    </tr>
    <tr>
      <td>19.14</td>
      <td>Parameters of the focusing elements in the transport line to the undulator for the case of Scheme 4.</td>
      <td>3967</td>
    </tr>
    <tr>
      <td>19.15</td>
      <td>Comparison between the beam parameters at the exit of the second LPAS and at the undulator entrance for Scheme 4.</td>
      <td>3967</td>
    </tr>
    <tr>
      <td>19.16</td>
      <td>Parameters of the focusing elements in the high-energy transport line to the undulator for the case of Scheme 5.</td>
      <td>3967</td>
    </tr>
    <tr>
      <td>19.17</td>
      <td>Comparison between the beam parameters at the PPAS exit and at the entrance of the undulator for Scheme 5.</td>
      <td>3967</td>
    </tr>
    <tr>
      <td>20.1</td>
      <td>Measuring capability of interferometric methods. Phase shift after passing through 1 cm of medium.</td>
      <td>3975</td>
    </tr>
    <tr>
      <td>20.2</td>
      <td>Comparison of interferometric methods.</td>
      <td>3977</td>
    </tr>
    <tr>
      <td>21.1</td>
      <td>Electron bunch parameters at different diagnostic points (DP1 to DP3) along the beamline.</td>
      <td>3984</td>
    </tr>
    <tr>
      <td>22.1</td>
      <td>Parameters of the electron beam hitting the beam dump.</td>
      <td>3996</td>
    </tr>
    <tr>
      <td>23.1</td>
      <td>Main requirements for the electron beam at the exit of the injector and accelerator.</td>
      <td>4002</td>
    </tr>
    <tr>
      <td>23.2</td>
      <td>Naming convention of the different accelerator schemes investigated as part of the EuPRAXIA conceptual design study.</td>
      <td>4002</td>
    </tr>
    <tr>
      <td>23.3</td>
      <td>Laser and electron input beam parameters of the LPAS.</td>
      <td>4006</td>
    </tr>
    <tr>
      <td>23.4</td>
      <td>Requested beam quality and expected quality parameters obtained by means of simulations for Scheme 1.</td>
      <td>4012</td>
    </tr>
    <tr>
      <td>23.5</td>
      <td>Parameters of the driver train and the ionisation pulse.</td>
      <td>4013</td>
    </tr>
    <tr>
      <td>23.6</td>
      <td>Comparison between the beam parameters at the end of the LPI and at the entrance of the undulator for Scheme 1.</td>
      <td>4018</td>
    </tr>
    <tr>
      <td>23.7</td>
      <td>Comparison between the beam parameters at the end of the LPAS and at the entrance of the undulator for Scheme 2.</td>
      <td>4028</td>
    </tr>
    <tr>
      <td>23.8</td>
      <td>Comparison between the beam parameters at the end of the LPAS and at the entrance of the undulator for Scheme 3.</td>
      <td>4033</td>
    </tr>
    <tr>
      <td>23.9</td>
      <td>Final parameters of the core of the improved (smoothed) beam at the end of the second plasma.</td>
      <td>4039</td>
    </tr>
    <tr>
      <td>23.10</td>
      <td>Comparison between the beam parameters at the exit of the second LPAS and at the undulator entrance for Scheme 4.</td>
      <td>4039</td>
    </tr>
    <tr>
      <td>23.11</td>
      <td>Main photo-injector parameters.</td>
      <td>4041</td>
    </tr>
    <tr>
      <td>23.12</td>
      <td>Driver and witness beam parameters at the end of the photo-injector.</td>
      <td>4041</td>
    </tr>
    <tr>
      <td>23.13</td>
      <td>Comparison between the beam parameters at the end of the PPAS and at the entrance of the undulator for Scheme 5.</td>
      <td>4045</td>
    </tr>
    <tr>
      <td>24.1</td>
      <td>Best slice values of the relevant parameters at the plasma exit.</td>
      <td>4048</td>
    </tr>
    <tr>
      <td>24.2</td>
      <td>Undulator configurations used for the FEL environment.</td>
      <td>4049</td>
    </tr>
    <tr>
      <td>24.3</td>
      <td>Best slice values of the relevant parameters at the undulator entrance and expected cooperation lengths.</td>
      <td>4050</td>
    </tr>
    <tr>
      <td>24.4</td>
      <td>FEL semi-analytical results for the short-undulator-period configuration based on the best slice parameters of Table 24.3.</td>
      <td>4051</td>
    </tr>
    <tr>
      <td>24.5</td>
      <td>Results of the time-dependent simulations with longitudinal dynamics, obtained with PERSEO, for the short-undulator-period configuration.</td>
      <td>4051</td>
    </tr>
    <tr>
      <td>24.6</td>
      <td>FEL semi-analytical results for the long-undulator-period configuration based on the best slice parameters of Table 24.3.</td>
      <td>4054</td>
    </tr>
  </tbody>
</table>
<table>
  <tbody>
    <tr>
      <td>24.7</td>
      <td>Results of the time-dependent simulations with longitudinal dynamics, obtained with PERSEO, for the long-undulator-period configuration.</td>
      <td>4054</td>
    </tr>
    <tr>
      <td>24.8</td>
      <td>Important properties of a plasma betatron-radiation source and their implications.</td>
      <td>4059</td>
    </tr>
    <tr>
      <td>24.9</td>
      <td>Scalings for betatron radiation from established scaling laws.</td>
      <td>4060</td>
    </tr>
    <tr>
      <td>24.10</td>
      <td>Unique properties of plasma-accelerator-based ICS radiation sources, and their implications.</td>
      <td>4065</td>
    </tr>
    <tr>
      <td>25.1</td>
      <td>Expected properties of the low-energy positron beam generated at the EuPRAXIA beamline.</td>
      <td>4069</td>
    </tr>
    <tr>
      <td>27.1</td>
      <td>Performance level and their respective average probability of dangerous failure per hour.</td>
      <td>4094</td>
    </tr>
    <tr>
      <td>29.1</td>
      <td>Main parameters for the CLARA operating modes.</td>
      <td>4109</td>
    </tr>
    <tr>
      <td>29.2</td>
      <td>Typical beam parameters at the FLASHForward facility.</td>
      <td>4113</td>
    </tr>
    <tr>
      <td>29.3</td>
      <td>Overview parameters of the three high-power laser systems at Helmholtz Institute Jena.</td>
      <td>4115</td>
    </tr>
    <tr>
      <td>29.4</td>
      <td>Beam parameters of the TARANIS laser system at the Queen's University of Belfast.</td>
      <td>4122</td>
    </tr>
    <tr>
      <td>29.5</td>
      <td>Design parameters of the SINBAD facility.</td>
      <td>4123</td>
    </tr>
    <tr>
      <td>29.6</td>
      <td>Typical parameters of the SPARC linear accelerator.</td>
      <td>4125</td>
    </tr>
    <tr>
      <td>29.7</td>
      <td>Typical parameters of the FLAME laser at SPARC_LAB.</td>
      <td>4126</td>
    </tr>
    <tr>
      <td>30.1</td>
      <td>Parameters of the BELLA PW-laser.</td>
      <td>4128</td>
    </tr>
    <tr>
      <td>31.1</td>
      <td>Some of the largest supercomputing facilities in Europe based on the Top500 list of supercomputers worldwide.</td>
      <td>4132</td>
    </tr>
    <tr>
      <td>32.1</td>
      <td>PIC codes used for EuPRAXIA.</td>
      <td>4136</td>
    </tr>
    <tr>
      <td>32.2</td>
      <td>Comparison of selected published performances to EuPRAXIA baseline for self-injection (SI).</td>
      <td>4171</td>
    </tr>
    <tr>
      <td>32.3</td>
      <td>Comparison of selected published performances to EuPRAXIA baseline for colliding pulse injection (CPI).</td>
      <td>4172</td>
    </tr>
    <tr>
      <td>32.4</td>
      <td>Comparison of selected published performances to EuPRAXIA baseline for density-gradient injection (DGI).</td>
      <td>4173</td>
    </tr>
    <tr>
      <td>32.5</td>
      <td>Comparison of selected published performances to EuPRAXIA baseline for ionisation-induced injection (III).</td>
      <td>4174</td>
    </tr>
    <tr>
      <td>32.6</td>
      <td>Summary of plasma targets main properties.</td>
      <td>4175</td>
    </tr>
  </tbody>
</table>