ELI PARAMETERS SPACE FROM ANALYTICAL MODEL C. Ronsivalle ELI meeting

KEY FIGURES OF SERAFINI ANALYTICAL MODEL Assumptions with

ELI SPECIFICATIONS 1212 From requirement #2

INPUT DATA FOR THE MATLAB PROGRAM Laser pulse energy U=1 J Laser photon energy h =2.4 eV  = Collision angle  =0 Electron beam energy=360 MeV (first ELI ip)  t=4 ps  t=5 ps HYBRID scheme FULL-C band Wp1 point Q=250pC,  /  =0.6*10 -3

Q=250pC,  /  =0.6*10 -3  t=4 ps E=360 MeV Max SPDopt values  x values for max SPDopt SPD is per shot

E-BEAM PARAMETERS SPACE: ISO SPECTRAL DENSITY CURVES The red point ( ) corresponds to wp1 for the hybrid scheme Contour lines plot for Q=250 pC and  t=4 ps. The iso spectral density curves correspond to the peak values on the curves SPDopt vs  x. For frip=100 Hz and SPDmax=10 4 The region below curve 100 defines the parameters space for nrf=1 The region between curves 100 and 50 defines the parameters space for nrf=2 and so on……. nrf=required number of bunches

E-BEAM PARAMETERS SPACE: ISO SPECTRAL DENSITY CURVES The red point ( ) corresponds to wp1 for the hybrid scheme Contour lines plot for Q=250 pC and  t=4 ps. The iso spectral density curves correspond to  x=20 µm 23 means nrf=5

Q=250pC,  /  =0.6*10 -3  t=4 ps E=360 MeV  =0 Q=250pC,  /  =0.6*10 -3  t=4 ps E=720 MeV  =0 COMPARISON MeV

SPD ~23 nrf=5 SPD ~5.7 nrf= MeV 720 MeV

APPLICATION TO SOME OF START-TO-END DATA (wp1-ITERATION#2 ON HYBRID SCHEME)

Summary 360MeV wpQ i pC ε nx µ-rad ε ny µ-rad σ x µm σ y µm σ z µm σ δ RFD1 MV RFD2 MV collx µm colly µm Q f pC E f MeV φ2°φ2° 1A B B B C. Vaccarezza

wpQ i pC ε nx µ-rad ε ny µ-rad σ x µm σ y µm σ z µm σ δ RFD1 MV RFD2 MV collx µm colly µm Q f pC E f MeV φ2°φ2° 1A nrf=2 nrf=7 Limit :laser spot size not beam properties nrf=7 SPD (per shot)~14.5

nrf=6 nrf=7 Q i pC ε nx µ-rad ε ny µ-rad σ x µm σ y µm σ δ Q f pC E f MeV nrf=2 SPD (per shot)~17 SPD (per shot)~15.5

Effect of a collision angle  =4° in case 1 wpQ i pC ε nx µ-rad ε ny µ-rad σ x µm σ y µm σ z µm σ δ Q f pC E f MeV 1A nrf=4 nrf=10 SPD (per shot)~11

Summary 720MeV wpQ i pC ε nx µ-rad ε ny µ-rad σ x µm σ y µm σ z µm σ δ RFD1 MV RFD2 MV collx µm colly µm Q f pC E f MeV φ2°φ2° 1A B B B C. Vaccarezza

wpQ i pC ε nx µ-rad ε ny µ-rad σ x µm σ y µm σ z µm σ δ Q f pC E f MeV 1A Nrf=21 Nrf=6  x<15 µm nrf<10  t=4 ps,  =0 Best wp1 at high energy SPD (per shot)~4.7

Effect of a collision angle  =4° in this case Nrf=13 Nrf=29 SPD (per shot)~3.5  t=4 ps