# ELI PARAMETERS SPACE FROM ANALYTICAL MODEL C. Ronsivalle ELI meeting 21-03-2012.

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ELI PARAMETERS SPACE FROM ANALYTICAL MODEL C. Ronsivalle ELI meeting 21-03-2012

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  = 0.0005 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 (0.4-0.0006) 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 (0.4-0.0006) 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 360-720 MeV

SPD ~23 nrf=5 SPD ~5.7 nrf=18 360 MeV 720 MeV

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

Summary table @ 360MeV wpQ i pC ε nx µ-rad ε ny µ-rad σ x µm σ y µm σ z µm σ δ 10 -4 RFD1 MV RFD2 MV collx µm colly µm Q f pC E f MeV φ2°φ2° 1A2500.4 25 2786.800--2503614 1B2500.4 23223157.500--2503636 1B2500.30.423212916.20072-2083636 1B2500.47.023222356.02.01.3-4102083636 C. Vaccarezza

wpQ i pC ε nx µ-rad ε ny µ-rad σ x µm σ y µm σ z µm σ δ 10 -4 RFD1 MV RFD2 MV collx µm colly µm Q f pC E f MeV φ2°φ2° 1A2500.4 25 2786.800--2503614 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 10 -4 Q f pC E f MeV 2500.4 23227.5250363 2500.30.423216.2208363 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 10 -4 Q f pC E f MeV 1A2500.4 25 2786.8250361 nrf=4 nrf=10 SPD (per shot)~11

Summary table @ 720MeV wpQ i pC ε nx µ-rad ε ny µ-rad σ x µm σ y µm σ z µm σ δ 10 -4 RFD1 MV RFD2 MV collx µm colly µm Q f pC E f MeV φ2°φ2° 1A2500.4 23222784.9----2507222 1B2500.4 24233156.2----2507232 1B2500.4 24232865.2--70-2307232 1B2500.43.925 2694.91.72.1-2802247232 C. Vaccarezza

wpQ i pC ε nx µ-rad ε ny µ-rad σ x µm σ y µm σ z µm σ δ 10 -4 Q f pC E f MeV 1A2500.4 23222784.9250722 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

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